Bisector_and_Centroid_of_a_Triangle.ppt
•Download as PPT, PDF•
0 likes•70 views
This topic aims to prove theorems about perpendicular bisectors and angle bisectors.
Report
Share
Report
Share
Recommended
Chapter 5 unit f 001
This document provides definitions, examples, and practice problems related to perpendicular bisectors and angle bisectors. It begins by defining perpendicular bisectors as the locus of points equidistant from the endpoints of a segment. Angle bisectors are defined as the locus of points equidistant from the sides of an angle. Examples show applying theorems about perpendicular and angle bisectors to find missing measures. The document concludes with an example writing an equation for a perpendicular bisector in point-slope form.
Chapter 5 unit f 001
This document contains a geometry lesson on perpendicular bisectors and angle bisectors. It begins with definitions of perpendicular bisectors and angle bisectors. It then provides examples of using theorems about perpendicular bisectors and angle bisectors to find unknown measures in geometric figures. It also gives examples of writing equations of perpendicular bisectors and angle bisectors in the coordinate plane. The document aims to prove and apply theorems about perpendicular bisectors and angle bisectors.
Chapter 5 unit f 001
This document contains a geometry lesson on perpendicular bisectors and angle bisectors. It begins with definitions of perpendicular bisectors and angle bisectors. It then provides examples of using theorems about perpendicular bisectors and angle bisectors to find unknown measures in geometric figures. It also gives examples of writing equations of perpendicular bisectors and angle bisectors in the coordinate plane. The document aims to prove and apply theorems about perpendicular bisectors and angle bisectors.
Perpendicular_and_Angle_Bisector_Activity_Lesson.ppt
This document discusses theorems and properties related to perpendicular bisectors, angle bisectors, and the circumcenter and incenter of triangles. It provides examples of applying theorems about perpendicular bisectors to find missing lengths and applying properties of angle bisectors to find missing measures of angles. The document also defines key terms like locus, equidistant, concurrent, circumscribed circle, and inscribed circle as they relate to bisectors and triangle centers.
Geometry unit 5.1
This document discusses properties of midsegments in triangles. It begins with examples calculating midpoints and midsegments. It then states that the three midsegments of any triangle form a new triangle called the midsegment triangle. Several examples demonstrate using the triangle midsegment theorem, which states that the length of a midsegment is equal to half the product of the lengths of the two sides divided by the midsegment. The document provides practice problems applying the theorem to find lengths and angle measures. It concludes with a lesson quiz involving additional midsegment problems.
Triangle Sum Theorem
This document discusses angles of triangles. It defines key terms like interior angles, exterior angles, and corollaries. It presents the Triangle Sum Theorem, which states the sum of the interior angles of any triangle is 180 degrees. It introduces the Exterior Angle Theorem, which states the measure of an exterior angle is equal to the sum of the remote interior angles. Examples are provided to demonstrate using these theorems to find missing angle measures in various triangles.
Geometry unit 5.2
This document provides instruction on perpendicular and angle bisectors. It defines key terms such as equidistant, locus, and perpendicular bisector. It explains that an angle bisector is the locus of points equidistant from the sides of an angle. Examples are provided to demonstrate applying theorems about perpendicular and angle bisectors to find missing measures. Students are asked to construct perpendicular bisectors and angle bisectors, find midpoints and slopes, and solve problems involving perpendicular and angle bisectors.
Geometry 201 unit 5.3
This document discusses bisectors in triangles. It defines perpendicular bisectors as lines that bisect and are perpendicular to a side of a triangle. Angle bisectors bisect an angle of a triangle. The three perpendicular bisectors and angle bisectors of a triangle are both concurrent, meaning they intersect at a single point.
The point of concurrency of the perpendicular bisectors is called the circumcenter and is equidistant from the triangle's vertices. The point of concurrency of the angle bisectors is called the incenter and is always inside the triangle, equidistant from its sides. Examples show using bisectors to find distances and angles in triangles, as well as applications like placing a building or monument equidistant from three
Recommended
Chapter 5 unit f 001
This document provides definitions, examples, and practice problems related to perpendicular bisectors and angle bisectors. It begins by defining perpendicular bisectors as the locus of points equidistant from the endpoints of a segment. Angle bisectors are defined as the locus of points equidistant from the sides of an angle. Examples show applying theorems about perpendicular and angle bisectors to find missing measures. The document concludes with an example writing an equation for a perpendicular bisector in point-slope form.
Chapter 5 unit f 001
This document contains a geometry lesson on perpendicular bisectors and angle bisectors. It begins with definitions of perpendicular bisectors and angle bisectors. It then provides examples of using theorems about perpendicular bisectors and angle bisectors to find unknown measures in geometric figures. It also gives examples of writing equations of perpendicular bisectors and angle bisectors in the coordinate plane. The document aims to prove and apply theorems about perpendicular bisectors and angle bisectors.
Chapter 5 unit f 001
This document contains a geometry lesson on perpendicular bisectors and angle bisectors. It begins with definitions of perpendicular bisectors and angle bisectors. It then provides examples of using theorems about perpendicular bisectors and angle bisectors to find unknown measures in geometric figures. It also gives examples of writing equations of perpendicular bisectors and angle bisectors in the coordinate plane. The document aims to prove and apply theorems about perpendicular bisectors and angle bisectors.
Perpendicular_and_Angle_Bisector_Activity_Lesson.ppt
This document discusses theorems and properties related to perpendicular bisectors, angle bisectors, and the circumcenter and incenter of triangles. It provides examples of applying theorems about perpendicular bisectors to find missing lengths and applying properties of angle bisectors to find missing measures of angles. The document also defines key terms like locus, equidistant, concurrent, circumscribed circle, and inscribed circle as they relate to bisectors and triangle centers.
Geometry unit 5.1
This document discusses properties of midsegments in triangles. It begins with examples calculating midpoints and midsegments. It then states that the three midsegments of any triangle form a new triangle called the midsegment triangle. Several examples demonstrate using the triangle midsegment theorem, which states that the length of a midsegment is equal to half the product of the lengths of the two sides divided by the midsegment. The document provides practice problems applying the theorem to find lengths and angle measures. It concludes with a lesson quiz involving additional midsegment problems.
Triangle Sum Theorem
This document discusses angles of triangles. It defines key terms like interior angles, exterior angles, and corollaries. It presents the Triangle Sum Theorem, which states the sum of the interior angles of any triangle is 180 degrees. It introduces the Exterior Angle Theorem, which states the measure of an exterior angle is equal to the sum of the remote interior angles. Examples are provided to demonstrate using these theorems to find missing angle measures in various triangles.
Geometry unit 5.2
This document provides instruction on perpendicular and angle bisectors. It defines key terms such as equidistant, locus, and perpendicular bisector. It explains that an angle bisector is the locus of points equidistant from the sides of an angle. Examples are provided to demonstrate applying theorems about perpendicular and angle bisectors to find missing measures. Students are asked to construct perpendicular bisectors and angle bisectors, find midpoints and slopes, and solve problems involving perpendicular and angle bisectors.
Geometry 201 unit 5.3
This document discusses bisectors in triangles. It defines perpendicular bisectors as lines that bisect and are perpendicular to a side of a triangle. Angle bisectors bisect an angle of a triangle. The three perpendicular bisectors and angle bisectors of a triangle are both concurrent, meaning they intersect at a single point.
The point of concurrency of the perpendicular bisectors is called the circumcenter and is equidistant from the triangle's vertices. The point of concurrency of the angle bisectors is called the incenter and is always inside the triangle, equidistant from its sides. Examples show using bisectors to find distances and angles in triangles, as well as applications like placing a building or monument equidistant from three
4.5 Special Segments in Triangles
* Construct perpendicular and angle bisectors
* Use bisectors to solve problems
* Identify the circumcenter and incenter of a triangle
* Use triangle segments to solve problems
Geometry unit 4.5
This document covers properties of isosceles and equilateral triangles. It defines key terms like legs, vertex angle, and base of an isosceles triangle. It presents theorems like if a triangle is isosceles, the vertex angle is equal to the base angles, and the bisector of the vertex angle is the perpendicular bisector of the base. Examples demonstrate using these properties to find missing angle measures. The connection between equilateral and equiangular triangles is also explained. Coordinate proofs may be used to show triangles are isosceles. Practice problems are included to assess understanding.
Geometry unit 8.5
This document provides examples and explanations for using the Law of Sines and Law of Cosines to solve triangles. It begins with examples of finding trigonometric ratios for angles up to 180 degrees. It then shows how to use the Law of Sines to find missing side lengths or angle measures when given two angles and a side, or two sides and a non-included angle. The Law of Cosines is demonstrated for finding a missing side or angle when given two sides and the included angle, or all three sides. Multiple practice problems are provided to help understand applying these laws.
Geometry unit 12.3
This document discusses inscribed angles, which are angles whose vertex is on a circle and whose sides contain chords of the circle. It defines key terms like intercepted arc and subtend. Examples are provided to illustrate how to find the measures of inscribed angles, arcs, and angles within inscribed triangles and quadrilaterals using properties of inscribed angles. Students are then given practice problems to solve.
Geometry unit 10.6
This document covers key concepts about circles and arcs. It defines important circle terminology like central angle, arc, minor arc, major arc, and congruent arcs. It provides examples demonstrating how to find measures of arcs and angles using properties of circles, congruent arcs, and the Pythagorean theorem. Examples are worked through step-by-step showing calculations to find arc measures, angles, and distances on circles. Review questions at the end test understanding of applying circle properties and theorems to solve measurement problems.
Geometry unit 6.4
1. The document discusses properties of rectangles, rhombuses, and squares. It provides examples demonstrating that rectangles and rhombuses inherit properties from parallelograms, such as having congruent diagonals that bisect each other.
2. A square is defined as a quadrilateral with four congruent sides and four right angles, making it a rectangle, rhombus, and parallelogram. Examples show the diagonals of a square are congruent perpendicular bisectors.
3. The document contains examples proving properties of special parallelograms using their defining characteristics and previously established properties of parallelograms.
Geometry unit 10.3
This document provides instruction on calculating the area of regular polygons. It defines key terms like regular polygon, center, apothem, and central angle. It then demonstrates using tangent ratios to find the apothem of an isosceles triangle formed by the center and a side of the polygon, in order to calculate the area. Examples are provided to find the areas of regular heptagons, dodecagons, and octagons using this method. Practice problems at the end ask students to calculate areas of polygons with different numbers of sides and side lengths.
Lecture 4.1 4.2
The document discusses classifying and finding angles of triangles. It defines different types of triangles based on sides or angles, such as equilateral, isosceles, scalene, acute, obtuse, right. The triangle sum theorem states the sum of interior angles is 180 degrees. The exterior angle theorem relates exterior to interior angles. Examples show using these theorems to find missing angle measures in various triangles.
Obj. 20 Perpendicular and Angle Bisectors
Construct perpendicular and angle bisectors
Use bisectors to solve problems
Identify the circumcenter and incenter of a triangle
Geometry unit 12.4
This document provides examples and explanations of how to find angle measures formed by lines intersecting within and on circles. It includes examples of finding angle measures using tangent-secant angles, tangent-chord angles, and angles inside and on circles. Students are guided through step-by-step workings and are given practice problems to solve involving finding specific angle measures using the concepts taught.
Angles.ppt
1. The document defines key angle concepts such as acute, obtuse, right, and straight angles. It also introduces the protractor and angle addition postulate.
2. The examples demonstrate how to name angles, measure angles using a protractor, find missing angle measures using the angle addition postulate, identify congruent angles, and double an angle measure when the angle is bisected.
3. The guided practice problems apply the concepts taught in the examples to find missing angle measures, identify congruent angles, and draw and label diagrams related to bisected and straight angles.
Geometry 201 unit 5.4
1) A median of a triangle is a segment from a vertex to the midpoint of the opposite side. The medians of any triangle are concurrent at the centroid.
2) An altitude of a triangle is a perpendicular segment from a vertex to the opposite side. The three altitudes of a triangle are concurrent at the orthocenter.
3) This document discusses properties of medians and altitudes of triangles, including using the centroid and orthocenter to solve problems involving lengths of segments and finding coordinates of special points like the centroid and orthocenter. Examples are provided to illustrate these concepts.
Young's modulus by single cantilever method
Young's modulus is a method to find the elasticity of a given solid material. The present article gives the explanation how to perform the experiment to determine the young's modulus by the use of material in the form of cantilever. The single cantilever method is used here.
3.2 use parallel lines and transversals
This document discusses parallel lines and transversals. It provides examples of using theorems about alternate interior angles, corresponding angles, vertical angles, and consecutive interior angles to solve for unknown angle measures. Theorems demonstrated include the alternate interior angles theorem, vertical angles congruence theorem, and consecutive interior angles theorem. Students are guided through practice problems applying these theorems to find missing angle measures given information about parallel lines cut by a transversal.
Module 7 triangle trigonometry super final
This document provides an overview of a Grade 9 mathematics module on triangle trigonometry. It includes 5 lessons:
1. The six trigonometric ratios of sine, cosine, tangent, cosecant, secant, and cotangent and their definitions in right triangles.
2. The trigonometric ratios of specific angles like 30, 45, and 60 degrees using special right triangles.
3. Angles of elevation and depression and how they are equal in measure.
4. Word problems involving right triangles that can be solved using trigonometric functions.
5. Oblique triangles and how the Law of Sines can be used to find missing sides and angles in any triangle.
mathematic project .pdf
Lagrange's Mean Value Theorem, also known as the Mean Value Theorem (MVT), is a fundamental result in calculus that describes the relationship between the slope of a tangent to a function's graph and the average rate of change of the function over an interval. It is a crucial tool in analyzing the behavior of functions and has wide-ranging applications in various areas of mathematics and science. The Mean Value Theorem states that if a function f satisfies the following conditions: 1. Establish inequalities: By comparing the slope of the tangent to the average rate of change, the Mean Value Theorem can be used to establish inequalities involving function values.
2. Prove Rolle's Theorem: Rolle's Theorem is a special case of the Mean Value Theorem that applies to functions that have zero values at the endpoints of an interval. 3. Analyze Rolle's Theorem: The Mean Value Theorem can be used to analyze the conditions for Rolle's Theorem and understand the geometric implications of the theorem.
Geometry unit 12.2
This document discusses properties of arcs and chords in circles. It begins with objectives and vocabulary definitions for arcs, central angles, minor arcs, major arcs, and adjacent arcs. Examples are then provided to illustrate finding measures of arcs and angles using properties such as the arc addition postulate and that congruent arcs have congruent chords. Further examples apply properties to find measures of arcs, angles, and chords in various circle graphs and diagrams. Practice problems are also included for students to check their understanding.
Algebra 2 unit 9.8
This document provides instruction on reciprocal trigonometric functions and their inverses. It begins with examples of converting degrees to radians and evaluating trigonometric functions. It then defines the inverse trigonometric functions sine, cosine, and tangent. Examples are provided on evaluating inverse functions and using them to solve trigonometric equations. The document concludes with practice problems involving inverse trigonometric functions.
Gch1 l3
This document provides instruction on measuring and constructing angles:
- It defines angles and how to name them using vertex points.
- Methods for measuring angles using a protractor or transit are described. Angles can be classified as acute, right, or obtuse based on their measure.
- The angle addition and bisector properties are explained. Examples show using these concepts to find unknown angle measures.
- Exercises provide practice measuring, naming, classifying, and finding angles based on given information.
Ce 255 handout
- The document describes the conjugate beam method for analyzing beams with varying rigidities.
- The method involves drawing an imaginary conjugate beam that is loaded based on the bending moments of the real beam.
- The slope and deflection of points on the real beam can then be determined from the shear and bending moment of the corresponding points on the conjugate beam.
- An example problem is worked out in detail to demonstrate calculating the slope and deflection at the end of a cantilever beam with varying moment of inertia along its length using the conjugate beam method.
More Related Content
Similar to Bisector_and_Centroid_of_a_Triangle.ppt
4.5 Special Segments in Triangles
* Construct perpendicular and angle bisectors
* Use bisectors to solve problems
* Identify the circumcenter and incenter of a triangle
* Use triangle segments to solve problems
Geometry unit 4.5
This document covers properties of isosceles and equilateral triangles. It defines key terms like legs, vertex angle, and base of an isosceles triangle. It presents theorems like if a triangle is isosceles, the vertex angle is equal to the base angles, and the bisector of the vertex angle is the perpendicular bisector of the base. Examples demonstrate using these properties to find missing angle measures. The connection between equilateral and equiangular triangles is also explained. Coordinate proofs may be used to show triangles are isosceles. Practice problems are included to assess understanding.
Geometry unit 8.5
This document provides examples and explanations for using the Law of Sines and Law of Cosines to solve triangles. It begins with examples of finding trigonometric ratios for angles up to 180 degrees. It then shows how to use the Law of Sines to find missing side lengths or angle measures when given two angles and a side, or two sides and a non-included angle. The Law of Cosines is demonstrated for finding a missing side or angle when given two sides and the included angle, or all three sides. Multiple practice problems are provided to help understand applying these laws.
Geometry unit 12.3
This document discusses inscribed angles, which are angles whose vertex is on a circle and whose sides contain chords of the circle. It defines key terms like intercepted arc and subtend. Examples are provided to illustrate how to find the measures of inscribed angles, arcs, and angles within inscribed triangles and quadrilaterals using properties of inscribed angles. Students are then given practice problems to solve.
Geometry unit 10.6
This document covers key concepts about circles and arcs. It defines important circle terminology like central angle, arc, minor arc, major arc, and congruent arcs. It provides examples demonstrating how to find measures of arcs and angles using properties of circles, congruent arcs, and the Pythagorean theorem. Examples are worked through step-by-step showing calculations to find arc measures, angles, and distances on circles. Review questions at the end test understanding of applying circle properties and theorems to solve measurement problems.
Geometry unit 6.4
1. The document discusses properties of rectangles, rhombuses, and squares. It provides examples demonstrating that rectangles and rhombuses inherit properties from parallelograms, such as having congruent diagonals that bisect each other.
2. A square is defined as a quadrilateral with four congruent sides and four right angles, making it a rectangle, rhombus, and parallelogram. Examples show the diagonals of a square are congruent perpendicular bisectors.
3. The document contains examples proving properties of special parallelograms using their defining characteristics and previously established properties of parallelograms.
Geometry unit 10.3
This document provides instruction on calculating the area of regular polygons. It defines key terms like regular polygon, center, apothem, and central angle. It then demonstrates using tangent ratios to find the apothem of an isosceles triangle formed by the center and a side of the polygon, in order to calculate the area. Examples are provided to find the areas of regular heptagons, dodecagons, and octagons using this method. Practice problems at the end ask students to calculate areas of polygons with different numbers of sides and side lengths.
Lecture 4.1 4.2
The document discusses classifying and finding angles of triangles. It defines different types of triangles based on sides or angles, such as equilateral, isosceles, scalene, acute, obtuse, right. The triangle sum theorem states the sum of interior angles is 180 degrees. The exterior angle theorem relates exterior to interior angles. Examples show using these theorems to find missing angle measures in various triangles.
Obj. 20 Perpendicular and Angle Bisectors
Construct perpendicular and angle bisectors
Use bisectors to solve problems
Identify the circumcenter and incenter of a triangle
Geometry unit 12.4
This document provides examples and explanations of how to find angle measures formed by lines intersecting within and on circles. It includes examples of finding angle measures using tangent-secant angles, tangent-chord angles, and angles inside and on circles. Students are guided through step-by-step workings and are given practice problems to solve involving finding specific angle measures using the concepts taught.
Angles.ppt
1. The document defines key angle concepts such as acute, obtuse, right, and straight angles. It also introduces the protractor and angle addition postulate.
2. The examples demonstrate how to name angles, measure angles using a protractor, find missing angle measures using the angle addition postulate, identify congruent angles, and double an angle measure when the angle is bisected.
3. The guided practice problems apply the concepts taught in the examples to find missing angle measures, identify congruent angles, and draw and label diagrams related to bisected and straight angles.
Geometry 201 unit 5.4
1) A median of a triangle is a segment from a vertex to the midpoint of the opposite side. The medians of any triangle are concurrent at the centroid.
2) An altitude of a triangle is a perpendicular segment from a vertex to the opposite side. The three altitudes of a triangle are concurrent at the orthocenter.
3) This document discusses properties of medians and altitudes of triangles, including using the centroid and orthocenter to solve problems involving lengths of segments and finding coordinates of special points like the centroid and orthocenter. Examples are provided to illustrate these concepts.
Young's modulus by single cantilever method
Young's modulus is a method to find the elasticity of a given solid material. The present article gives the explanation how to perform the experiment to determine the young's modulus by the use of material in the form of cantilever. The single cantilever method is used here.
3.2 use parallel lines and transversals
This document discusses parallel lines and transversals. It provides examples of using theorems about alternate interior angles, corresponding angles, vertical angles, and consecutive interior angles to solve for unknown angle measures. Theorems demonstrated include the alternate interior angles theorem, vertical angles congruence theorem, and consecutive interior angles theorem. Students are guided through practice problems applying these theorems to find missing angle measures given information about parallel lines cut by a transversal.
Module 7 triangle trigonometry super final
This document provides an overview of a Grade 9 mathematics module on triangle trigonometry. It includes 5 lessons:
1. The six trigonometric ratios of sine, cosine, tangent, cosecant, secant, and cotangent and their definitions in right triangles.
2. The trigonometric ratios of specific angles like 30, 45, and 60 degrees using special right triangles.
3. Angles of elevation and depression and how they are equal in measure.
4. Word problems involving right triangles that can be solved using trigonometric functions.
5. Oblique triangles and how the Law of Sines can be used to find missing sides and angles in any triangle.
mathematic project .pdf
Lagrange's Mean Value Theorem, also known as the Mean Value Theorem (MVT), is a fundamental result in calculus that describes the relationship between the slope of a tangent to a function's graph and the average rate of change of the function over an interval. It is a crucial tool in analyzing the behavior of functions and has wide-ranging applications in various areas of mathematics and science. The Mean Value Theorem states that if a function f satisfies the following conditions: 1. Establish inequalities: By comparing the slope of the tangent to the average rate of change, the Mean Value Theorem can be used to establish inequalities involving function values.
2. Prove Rolle's Theorem: Rolle's Theorem is a special case of the Mean Value Theorem that applies to functions that have zero values at the endpoints of an interval. 3. Analyze Rolle's Theorem: The Mean Value Theorem can be used to analyze the conditions for Rolle's Theorem and understand the geometric implications of the theorem.
Geometry unit 12.2
This document discusses properties of arcs and chords in circles. It begins with objectives and vocabulary definitions for arcs, central angles, minor arcs, major arcs, and adjacent arcs. Examples are then provided to illustrate finding measures of arcs and angles using properties such as the arc addition postulate and that congruent arcs have congruent chords. Further examples apply properties to find measures of arcs, angles, and chords in various circle graphs and diagrams. Practice problems are also included for students to check their understanding.
Algebra 2 unit 9.8
This document provides instruction on reciprocal trigonometric functions and their inverses. It begins with examples of converting degrees to radians and evaluating trigonometric functions. It then defines the inverse trigonometric functions sine, cosine, and tangent. Examples are provided on evaluating inverse functions and using them to solve trigonometric equations. The document concludes with practice problems involving inverse trigonometric functions.
Gch1 l3
This document provides instruction on measuring and constructing angles:
- It defines angles and how to name them using vertex points.
- Methods for measuring angles using a protractor or transit are described. Angles can be classified as acute, right, or obtuse based on their measure.
- The angle addition and bisector properties are explained. Examples show using these concepts to find unknown angle measures.
- Exercises provide practice measuring, naming, classifying, and finding angles based on given information.
Ce 255 handout
- The document describes the conjugate beam method for analyzing beams with varying rigidities.
- The method involves drawing an imaginary conjugate beam that is loaded based on the bending moments of the real beam.
- The slope and deflection of points on the real beam can then be determined from the shear and bending moment of the corresponding points on the conjugate beam.
- An example problem is worked out in detail to demonstrate calculating the slope and deflection at the end of a cantilever beam with varying moment of inertia along its length using the conjugate beam method.
Similar to Bisector_and_Centroid_of_a_Triangle.ppt (20)
More from ChristeusVonSujero1
Angles and Angle Relationships - Complementary and Supplementary Angles
This document defines and provides examples of different types of angles:
- Vertical angles are opposite each other and congruent.
- Adjacent angles share a vertex and ray but may or may not be congruent.
- Complementary angles have measures that sum to 90 degrees.
- Supplementary angles have measures that sum to 180 degrees.
It then provides examples of identifying angle types and finding unknown angle measures using properties like vertical angles being congruent or complementary angles summing to 90 degrees.
ValuesEducation_Lesson4_Responsibilities.pptx
This document discusses the concept of responsibility. It defines responsibility as having an obligation to do something or having control over someone as part of one's role. It then provides multiple choice questions about responsible actions in different scenarios involving clothing choices, balancing social obligations, choosing friends, self-improvement, and admitting mistakes. The document encourages reflection on whether one's choices demonstrate responsibility and which values they reflect. It emphasizes that responsibility means performing tasks with excellence, not just adequately. As adolescents, students have responsibilities to themselves, their families, and their school. The document assigns writing a six-day diary detailing one's responsibilities as a student and family member as homework.
Pearson Product Moment Coefficient Correlation (Pearson r).pptx
The document discusses calculating Pearson's correlation coefficient (r) between midterm and final exam scores of students. It provides steps to compute r using an online calculator. For 10 students, r = 0.949, p = 0.000, indicating a significant relationship. For 12 students, r = 0.467, p = 0.126, not significant. The null hypothesis of no relationship is rejected for the first group but accepted for the second.
ESP_Lesson4 (1).pptx
This document discusses the concept of responsibility and provides examples of responsible versus irresponsible actions. It defines responsibility as having an obligation or being accountable for someone or something. It then provides multiple choice questions about responsible choices in situations like choosing clothes, balancing social obligations, selecting friends, self-improvement, and admitting mistakes. The document encourages reflection on whether one's choices demonstrate responsibility and which values they reflect. It emphasizes taking responsibility seriously and aiming for excellence in one's responsibilities as a student and family member. As an assignment, students are asked to keep a 5-day diary on their responsibilities.
ESP_Lesson5 (1).pptx
This document presents a series of scenarios and asks the reader to choose the best decision or option. It discusses roles as a believer, consumer, good citizen, and steward of God's creation. It emphasizes the importance of obedience and responsibility. For each scenario, the reader is asked to select an option or suggest their own decision. The scenarios involve crossing the street safely, borrowing a car without a license, stopping friends from shoplifting, and identifying underlying values. The document stresses duties of citizens, strengthening spirituality, proper media use, resisting temptations, and preserving the environment. Readers are asked to analyze a situation and submit their best decision.
PPT3.pptx
The document discusses deductive and inductive reasoning. It provides examples of using deductive reasoning to prove mathematical statements through a series of logical steps. Deductive reasoning uses facts and properties to reach a conclusion, while inductive reasoning observes patterns to form a conclusion. The document also contains examples of multi-step proofs involving geometry concepts like complementary angles. Students are assigned to identify given and prove statements, complete proofs using properties of equality and geometry, and distinguish between deductive and inductive reasoning.
More from ChristeusVonSujero1 (9)
Laws Govern Human Actions ESP/Values Education Lesson
Laws Govern Human Actions ESP/Values Education Lesson
Angles and Angle Relationships - Complementary and Supplementary Angles
Angles and Angle Relationships - Complementary and Supplementary Angles
Pearson Product Moment Coefficient Correlation (Pearson r).pptx
Pearson Product Moment Coefficient Correlation (Pearson r).pptx
Recently uploaded
Advanced Java[Extra Concepts, Not Difficult].docx
This is part 2 of my Java Learning Journey. This contains Hashing, ArrayList, LinkedList, Date and Time Classes, Calendar Class and more.
Main Java[All of the Base Concepts}.docx
This is part 1 of my Java Learning Journey. This Contains Custom methods, classes, constructors, packages, multithreading , try- catch block, finally block and more.
The History of Stoke Newington Street Names
Presented at the Stoke Newington Literary Festival on 9th June 2024
www.StokeNewingtonHistory.com
The simplified electron and muon model, Oscillating Spacetime: The Foundation...
Discover the Simplified Electron and Muon Model: A New Wave-Based Approach to Understanding Particles delves into a groundbreaking theory that presents electrons and muons as rotating soliton waves within oscillating spacetime. Geared towards students, researchers, and science buffs, this book breaks down complex ideas into simple explanations. It covers topics such as electron waves, temporal dynamics, and the implications of this model on particle physics. With clear illustrations and easy-to-follow explanations, readers will gain a new outlook on the universe's fundamental nature.
ISO/IEC 27001, ISO/IEC 42001, and GDPR: Best Practices for Implementation and...
Denis is a dynamic and results-driven Chief Information Officer (CIO) with a distinguished career spanning information systems analysis and technical project management. With a proven track record of spearheading the design and delivery of cutting-edge Information Management solutions, he has consistently elevated business operations, streamlined reporting functions, and maximized process efficiency.
Certified as an ISO/IEC 27001: Information Security Management Systems (ISMS) Lead Implementer, Data Protection Officer, and Cyber Risks Analyst, Denis brings a heightened focus on data security, privacy, and cyber resilience to every endeavor.
His expertise extends across a diverse spectrum of reporting, database, and web development applications, underpinned by an exceptional grasp of data storage and virtualization technologies. His proficiency in application testing, database administration, and data cleansing ensures seamless execution of complex projects.
What sets Denis apart is his comprehensive understanding of Business and Systems Analysis technologies, honed through involvement in all phases of the Software Development Lifecycle (SDLC). From meticulous requirements gathering to precise analysis, innovative design, rigorous development, thorough testing, and successful implementation, he has consistently delivered exceptional results.
Throughout his career, he has taken on multifaceted roles, from leading technical project management teams to owning solutions that drive operational excellence. His conscientious and proactive approach is unwavering, whether he is working independently or collaboratively within a team. His ability to connect with colleagues on a personal level underscores his commitment to fostering a harmonious and productive workplace environment.
Date: May 29, 2024
Tags: Information Security, ISO/IEC 27001, ISO/IEC 42001, Artificial Intelligence, GDPR
-------------------------------------------------------------------------------
Find out more about ISO training and certification services
Training: ISO/IEC 27001 Information Security Management System - EN | PECB
ISO/IEC 42001 Artificial Intelligence Management System - EN | PECB
General Data Protection Regulation (GDPR) - Training Courses - EN | PECB
Webinars: https://pecb.com/webinars
Article: https://pecb.com/article
-------------------------------------------------------------------------------
For more information about PECB:
Website: https://pecb.com/
LinkedIn: https://www.linkedin.com/company/pecb/
Facebook: https://www.facebook.com/PECBInternational/
Slideshare: http://www.slideshare.net/PECBCERTIFICATION
Chapter 4 - Islamic Financial Institutions in Malaysia.pptx
Chapter 4 - Islamic Financial Institutions in Malaysia.pptxMohd Adib Abd Muin, Senior Lecturer at Universiti Utara Malaysia
This slide is special for master students (MIBS & MIFB) in UUM. Also useful for readers who are interested in the topic of contemporary Islamic banking.
RPMS TEMPLATE FOR SCHOOL YEAR 2023-2024 FOR TEACHER 1 TO TEACHER 3
RPMS Template 2023-2024 by: Irene S. Rueco
How to Build a Module in Odoo 17 Using the Scaffold Method
Odoo provides an option for creating a module by using a single line command. By using this command the user can make a whole structure of a module. It is very easy for a beginner to make a module. There is no need to make each file manually. This slide will show how to create a module using the scaffold method.
Digital Artifact 1 - 10VCD Environments Unit
Digital Artifact 1 - 10VCD Environments Unit - NGV Pavilion Concept Design
How to Add Chatter in the odoo 17 ERP Module
In Odoo, the chatter is like a chat tool that helps you work together on records. You can leave notes and track things, making it easier to talk with your team and partners. Inside chatter, all communication history, activity, and changes will be displayed.
South African Journal of Science: Writing with integrity workshop (2024)
South African Journal of Science: Writing with integrity workshop (2024)Academy of Science of South Africa
A workshop hosted by the South African Journal of Science aimed at postgraduate students and early career researchers with little or no experience in writing and publishing journal articles.Your Skill Boost Masterclass: Strategies for Effective Upskilling
Your Skill Boost Masterclass: Strategies for Effective UpskillingExcellence Foundation for South Sudan
Strategies for Effective Upskilling is a presentation by Chinwendu Peace in a Your Skill Boost Masterclass organisation by the Excellence Foundation for South Sudan on 08th and 09th June 2024 from 1 PM to 3 PM on each day.How to Manage Your Lost Opportunities in Odoo 17 CRM
Odoo 17 CRM allows us to track why we lose sales opportunities with "Lost Reasons." This helps analyze our sales process and identify areas for improvement. Here's how to configure lost reasons in Odoo 17 CRM
Recently uploaded (20)
The simplified electron and muon model, Oscillating Spacetime: The Foundation...
The simplified electron and muon model, Oscillating Spacetime: The Foundation...
ISO/IEC 27001, ISO/IEC 42001, and GDPR: Best Practices for Implementation and...
ISO/IEC 27001, ISO/IEC 42001, and GDPR: Best Practices for Implementation and...
Chapter 4 - Islamic Financial Institutions in Malaysia.pptx
Chapter 4 - Islamic Financial Institutions in Malaysia.pptx
RPMS TEMPLATE FOR SCHOOL YEAR 2023-2024 FOR TEACHER 1 TO TEACHER 3
RPMS TEMPLATE FOR SCHOOL YEAR 2023-2024 FOR TEACHER 1 TO TEACHER 3
How to Build a Module in Odoo 17 Using the Scaffold Method
How to Build a Module in Odoo 17 Using the Scaffold Method
South African Journal of Science: Writing with integrity workshop (2024)
South African Journal of Science: Writing with integrity workshop (2024)
Your Skill Boost Masterclass: Strategies for Effective Upskilling
Your Skill Boost Masterclass: Strategies for Effective Upskilling
How to Manage Your Lost Opportunities in Odoo 17 CRM
How to Manage Your Lost Opportunities in Odoo 17 CRM
Bisector_and_Centroid_of_a_Triangle.ppt
- 1. Prove and apply theorems about perpendicular bisectors. Prove and apply theorems about angle bisectors. 5.1 Objectives
- 3. Example 1A: Applying the Perpendicular Bisector Theorem and Its Converse Find each measure. MN MN = LN MN = 2.6 Bisector Thm. Substitution
- 4. Example 1C: Applying the Perpendicular Bisector Theorem and Its Converse TU Find each measure. So TU = 3(6.5) + 9 = 28.5. TU = UV Bisector Thm. 3x + 9 = 7x – 17 9 = 4x – 17 26 = 4x 6.5 = x Subtraction POE Addition POE. Division POE. Substitution
- 5. Check It Out! Example 1b Given that DE = 20.8, DG = 36.4, and EG =36.4, which Theorem would you use to find EF? Find the measure. Since DG = EG and , is the perpendicular bisector of by the Converse of the Perpendicular Bisector Theorem.
- 6. Remember that the distance between a point and a line is the length of the perpendicular segment from the point to the line.
- 7. Example 2A: Applying the Angle Bisector Theorem Find the measure. BC BC = DC BC = 7.2 Bisector Thm. Substitution Find the measure. mEFH, given that mEFG = 50°. Since EH = GH, and , bisects EFG by the Converse of the Angle Bisector Theorem.
- 8. Example 2C: Applying the Angle Bisector Theorem Find mMKL. , bisects JKL Since, JM = LM, and by the Converse of the Angle Bisector Theorem. mMKL = mJKM 3a + 20 = 2a + 26 a + 20 = 26 a = 6 Def. of bisector Substitution. Subtraction POE Subtraction POE So mMKL = [2(6) + 26]° = 38°
- 9. Check It Out! Example 2a Given that mWYZ = 63°, XW = 5.7, and ZW = 5.7, find mXYZ. mWYZ = mWYX mWYZ + mWYX = mXYZ mWYZ + mWYZ = mXYZ 2(63°) = mXYZ 126° = mXYZ 2mWYZ = mXYZ
- 11. Prove and apply properties of perpendicular bisectors of a triangle. Prove and apply properties of angle bisectors of a triangle. 5.2 Objectives
- 12. The perpendicular bisector of a side of a triangle does not always pass through the opposite vertex. Helpful Hint
- 13. A median of a triangle is a segment whose endpoints are a vertex of the triangle and the midpoint of the opposite side. Every triangle has three medians, and the medians are concurrent.
- 14. The point of concurrency of the medians of a triangle is the centroid of the triangle . The centroid is always inside the triangle. The centroid is also called the center of gravity because it is the point where a triangular region will balance. The length of the segment from the vertex to the centroid is twice the length of the segment from the centroid to the midpoint
- 15. Example 1B: Using the Centroid to Find Segment Lengths In ∆LMN, RS = 5 Find SL and RL. . SL = 10 and RL = 15
- 16. Check It Out! Example 1a In ∆JKL, ZK = 14, Find ZW and WK ZW = 7 and WK = 21
- 17. Check It Out! Example 1b In ∆JKL, JY = 36, Find JZ and ZY. JZ = 24 and ZY = 12
- 18. Lesson Drill Use the figure for Items 1–3. In ∆ABC, AE = 12, DG = 7, and BG = 9. Find each length. 1. AG 2. GC 3. GF 8 14 13.5