5.3 5.4 notes
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The document discusses different types of segments related to triangles: - Angle bisectors bisect the angle and any point on the bisector is equidistant from the sides of the angle. - Medians connect a vertex to the midpoint of the opposite side, and the medians of a triangle intersect at the centroid, which is 2/3 the distance from each vertex to its opposite side. - Altitudes are perpendicular segments from a vertex to the opposite side, and the lines containing the altitudes of a triangle concur. The document provides definitions, theorems and examples related to angle bisectors, medians, altitudes, and their properties in triangles. It also assigns problems from a worksheet on these topics.
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5.1 5.2 notes
The document discusses midsegments and perpendicular bisectors of triangles. It defines a midsegment as a segment connecting the midpoints of two sides of a triangle. The midsegment theorem states that a midsegment is parallel to the third side and half as long. A perpendicular bisector is a segment perpendicular to a segment at its midpoint. The perpendicular bisector theorem says that if a point is on the bisector, it is equidistant from the endpoints. Their point of concurrency is called the circumcenter.
Relay review notes
The document outlines three math word problems related to interest rates on savings accounts. It provides the details of each word problem, including the rates of return for a 2-month savings account (2.1% simple interest) and a passbook account (1.65% interest compounded monthly). It asks which account will earn more interest on a $3600 investment for 2 months, and how much more.
8.4 notes
This document discusses different types of quadrilaterals:
- Parallelograms have both pairs of opposite sides parallel.
- Rhombuses have four equal sides.
- Rectangles have four right angles.
- Squares are both rhombuses and rectangles, with four equal sides and four right angles.
Theorems are presented about the properties of rhombuses, rectangles, and relationships between diagonals and the shape of the quadrilateral. Examples are given of proving properties of rhombuses using definitions and properties of parallel lines. Homework problems are assigned.
Ixvl & fractions
The document outlines the agenda for a nursing day 1 training which includes discussing medical equivalents and terms. The agenda has 4 items: 1) Read/study notes on medical equivalents and terms, 2) Review math for medical fields, 3) Roman numerals, and 4) Work on a Roman numerals and fractions worksheet. The document provides pages 1-6 of the worksheet on Roman numerals and fractions.
10.1 notes
The document defines key terms related to circles such as radius, diameter, chord, secant, and tangent. It explains that a tangent line intersects a circle at only one point and is perpendicular to the radius drawn to that point. The document also discusses coplanar circles that can intersect in two points, one point, or no points, and defines a common tangent as a line that is tangent to two coplanar circles. Finally, it provides two theorems: the tangent theorem and the congruent tangent theorem, and includes some example problems.
Whack a-mole review
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Area notes
The document discusses calculating area for different shapes such as rectangles, squares, and triangles. It provides the formulas for finding the area of each shape: the area of a rectangle is length times width, the area of a square is the side squared, and the area of a triangle is one-half the base times the height. The document also mentions that area is used to determine the amount of materials needed for projects and includes a worksheet for practice calculating areas.
1.1 notes
The document defines key geometric concepts such as points, lines, planes, and their relationships. Points have no dimension, lines are one-dimensional, and planes are two-dimensional. Collinear points lie on the same line, and coplanar points lie in the same plane. Other concepts defined include line segments consisting of endpoints, rays with one endpoint, opposite rays, and intersections which contain one or more points in common. Homework problems are assigned from pages 6 problems 3-6 and 8-11, and 17-22.
Recommended
5.1 5.2 notes
The document discusses midsegments and perpendicular bisectors of triangles. It defines a midsegment as a segment connecting the midpoints of two sides of a triangle. The midsegment theorem states that a midsegment is parallel to the third side and half as long. A perpendicular bisector is a segment perpendicular to a segment at its midpoint. The perpendicular bisector theorem says that if a point is on the bisector, it is equidistant from the endpoints. Their point of concurrency is called the circumcenter.
Relay review notes
The document outlines three math word problems related to interest rates on savings accounts. It provides the details of each word problem, including the rates of return for a 2-month savings account (2.1% simple interest) and a passbook account (1.65% interest compounded monthly). It asks which account will earn more interest on a $3600 investment for 2 months, and how much more.
8.4 notes
This document discusses different types of quadrilaterals:
- Parallelograms have both pairs of opposite sides parallel.
- Rhombuses have four equal sides.
- Rectangles have four right angles.
- Squares are both rhombuses and rectangles, with four equal sides and four right angles.
Theorems are presented about the properties of rhombuses, rectangles, and relationships between diagonals and the shape of the quadrilateral. Examples are given of proving properties of rhombuses using definitions and properties of parallel lines. Homework problems are assigned.
Ixvl & fractions
The document outlines the agenda for a nursing day 1 training which includes discussing medical equivalents and terms. The agenda has 4 items: 1) Read/study notes on medical equivalents and terms, 2) Review math for medical fields, 3) Roman numerals, and 4) Work on a Roman numerals and fractions worksheet. The document provides pages 1-6 of the worksheet on Roman numerals and fractions.
10.1 notes
The document defines key terms related to circles such as radius, diameter, chord, secant, and tangent. It explains that a tangent line intersects a circle at only one point and is perpendicular to the radius drawn to that point. The document also discusses coplanar circles that can intersect in two points, one point, or no points, and defines a common tangent as a line that is tangent to two coplanar circles. Finally, it provides two theorems: the tangent theorem and the congruent tangent theorem, and includes some example problems.
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This document contains 16 practice questions for a medication calculation test. Each question presents a medication dosage scenario and asks the learner to calculate the correct amount or dosage. The questions cover a range of calculation types including milligrams, grams, ounces, pounds, milliliters, teaspoons, and more. At the end, the document provides a link to an online video tutorial that can help learners with these types of medication calculation questions.
Area notes
The document discusses calculating area for different shapes such as rectangles, squares, and triangles. It provides the formulas for finding the area of each shape: the area of a rectangle is length times width, the area of a square is the side squared, and the area of a triangle is one-half the base times the height. The document also mentions that area is used to determine the amount of materials needed for projects and includes a worksheet for practice calculating areas.
1.1 notes
The document defines key geometric concepts such as points, lines, planes, and their relationships. Points have no dimension, lines are one-dimensional, and planes are two-dimensional. Collinear points lie on the same line, and coplanar points lie in the same plane. Other concepts defined include line segments consisting of endpoints, rays with one endpoint, opposite rays, and intersections which contain one or more points in common. Homework problems are assigned from pages 6 problems 3-6 and 8-11, and 17-22.
4.8 notes
This document discusses different types of congruence transformations: translations, reflections, and rotations. It provides coordinate notation to describe each transformation. Translations move a figure the same distance in the same direction and are written as (x+a, y+b). Reflections create a mirror image, with reflections across the x-axis written as (x, -y) and across the y-axis as (-x, y). Rotations turn a figure around a center point, with clockwise and counterclockwise rotations shown. The document concludes by assigning homework problems from the text.
3.3 notes
This document discusses six theorems for proving that two lines are parallel: (1) the corresponding angles converse theorem, (2) the alternate interior angles converse theorem, (3) the alternate exterior angles converse theorem, (4) the consecutive interior angles converse theorem, (5) using a paragraph proof, and (6) the transitive property of parallel lines theorem. It also assigns homework problems from page 165 involving using these theorems to prove lines are parallel.
3.4 notes
This document contains notes on slope from a geometry class. It defines slope as the ratio of rise over run between two points on a line. It explains that negative slope means a line falls from left to right, positive slope means it rises, zero slope is a horizontal line, and undefined slope is a vertical line. It states the postulates that parallel lines have the same slope, and perpendicular lines have slopes that multiply to -1. The document provides examples and guided practice problems for students to complete on finding and using slopes of lines.
2.2 p2 notes
This document contains notes from a math class on biconditional statements. It includes:
1) Definitions of conditional statements, converse, inverse, and contrapositive statements.
2) Examples of analyzing whether conditional statements, their converses, inverses, and contrapositives are true or false.
3) An explanation that biconditional statements can be used when a conditional statement and its converse are both true, using "if and only if".
4) Homework assigned from pages 82-83 of the textbook problems #3-5, 7-15, 31-32 and #16-18.
1.3 notes
This document discusses regular pay and overtime pay rates. It provides examples of calculating time-and-a-half and double-time pay rates based on an employee's regular hourly rate. It also shows examples of calculating gross weekly wages for employees who worked overtime, using their regular pay rates and hours worked.
2.1 deductions notes
The document discusses various payroll deductions including:
- Federal income tax withholding which is determined using Form W-4 and IRS withholding tables.
- Social Security (FICA) tax of 6.2% and Medicare tax of 1.45% are withheld from employee wages.
- Missouri state income tax ranges from 1.5% to 6% depending on taxable income bracket.
- Examples are provided to calculate taxes withheld for federal income tax, Social Security, Medicare, and state income tax for different income amounts.
1.3 notes
1. The document discusses the midpoint and distance formulas. The midpoint formula finds the midpoint of a segment between two points by taking the average of the x-coordinates and y-coordinates. The distance formula calculates the distance between two points by taking the square root of the sum of the differences of the x-coordinates and y-coordinates squared. Examples are provided to demonstrate calculating midpoints and distances. Homework problems from page 19 numbers 4 through 36 are assigned except for number 24.
10.1 notes
The document defines key terms related to circles such as radius, diameter, chord, secant, and tangent. It explains that a tangent line intersects a circle at only one point and is perpendicular to the radius drawn to that point. The document also discusses coplanar circles that can intersect in two points, one point, or no points, and defines a common tangent as a line that is tangent to two coplanar circles. Finally, it provides two theorems: the tangent theorem and the congruent tangent theorem, and includes some example problems.
4.6 apr notes
The document discusses various methods that credit card companies use to calculate interest charges and balances, including:
- The previous balance method, which charges interest on the previous month's balance and does not include any credits from the current month.
- The adjusted balance method, which subtracts any payments or credits from the previous month's balance before calculating interest.
- The average daily balance method, which calculates interest based on the average balance over the billing period rather than the balance on a single day. It involves calculating the balance each day and taking the average.
- An example is provided to illustrate how to calculate the average daily balance over a 7-day period with various purchases and payments. Taking the total of
Add sub measurements notes
This document provides examples and instructions for adding and subtracting measurements involving feet, inches, yards, and miles. It includes examples of adding and subtracting lengths like 3'7" + 4'2". It provides instructions that when adding, like units are added together and inches over 12 inches are converted to feet. It also includes examples of subtracting measurements where the units subtracted must be smaller than the number subtracted from. There are practice problems provided to add and subtract various length measurements involving feet, inches, and yards.
2.1 notes
This document discusses inductive reasoning. It defines inductive reasoning as reaching a conclusion based on patterns observed. Some examples are given of making conjectures about numerical patterns and finding the next terms. It also discusses counterexamples, which are specific cases where a conjecture is found to be false. Readers are asked to provide an example of a counterexample that could disprove a conclusion about getting shocked after walking on carpet and touching a door knob. In summary, the document provides an overview of inductive reasoning and examples of making conjectures and identifying counterexamples.
Unit 5 bingo
This document contains a bingo card with 45 numbers or expressions in a question bank and 24 empty boxes to be filled in for bingo. The questions cover geometry topics like finding lengths, coordinates, properties of triangles. When a player matches numbers from the questions asked to the bingo card, they can call bingo.
5.3 5.4 notes
This document discusses geometry concepts related to angle bisectors, medians, and altitudes of triangles. It defines an angle bisector as a ray that divides an angle into two equal parts, and defines properties like the angle bisector theorem. It also discusses the incenter point of concurrency of the three angle bisectors. Medians are defined as segments from vertices to midpoint of the opposite sides, and the centroid point is given as the concurrency of medians. Altitudes are defined as perpendicular segments from vertices to opposite sides, with the orthocenter being the point where the three altitudes meet. Students are assigned homework problems related to these concepts.
2.7 notes
This document discusses several angle pair theorems: the right angle congruence theorem which states that all right angles are congruent; the congruent supplements theorem which states that if two angles are supplementary to the same angle then they are congruent; the congruent complements theorem which states that if two angles are complementary to the same angle then they are congruent; the linear pair postulate which states that if two angles form a linear pair then they are supplementary; and the vertical angles theorem which states that vertical angles are congruent. The document provides proofs for some of these theorems and examples of how to prove the congruent complements theorem. It also assigns homework problems related to these angle pair theorems.
Geometry Section 5-1 1112
The document discusses bisectors of triangles, including perpendicular bisectors and angle bisectors. It defines key terms like perpendicular bisector, concurrent lines, circumcenter, and incenter. Theorems are presented about the properties of points on perpendicular bisectors, including that they are equidistant from the endpoints of the bisected segment. Similarly, points on angle bisectors are equidistant from the sides of the bisected angle. The circumcenter and incenter are shown to be equidistant from the vertices and sides of a triangle respectively. Examples demonstrate applying the concepts.
4.7 notes
The document defines and discusses properties of isosceles and equilateral triangles. It states that if two sides of a triangle are congruent, then the angles opposite those sides are congruent (the base angles theorem), and vice versa. It also notes that if a triangle is equilateral, then it is also equiangular, and if a triangle is equiangular, then it is equilateral. Examples are given to demonstrate finding side lengths and angle measures in isosceles and equilateral triangles.
6.7 notes
The document discusses dilations, which are transformations that stretch or shrink shapes by a scale factor relative to a fixed center point. A dilation is notated as (x,y) -> (kx, ky), where k is the scale factor and (x,y) are the original coordinates being dilated. If k is between 0 and 1, it represents a reduction, while if k is greater than 1, it represents an enlargement. Points on a figure and their images under a dilation lie on the same ray from the center of dilation.
1.7 notes
This document discusses perimeter, circumference, and area formulas for basic shapes. It provides the formulas for calculating the perimeter of squares, rectangles, triangles, and circles. It also provides the formulas for calculating the area of squares, rectangles, triangles, and circles. Mnemonic devices are included to help remember the circumference and area formulas for circles. For homework, students are assigned problems 5 through 29 of page 52 involving these formulas.
4.4 notes
The document discusses two theorems for proving triangles are congruent:
1) Side-Angle-Side (SAS) theorem - If two triangles have two sides and the included angle of one equal to two sides and the included angle of the other, then the triangles are congruent.
2) Hypotenuse-Leg (HL) theorem - If two right triangles have one hypotenuse and one leg of one equal to the hypotenuse and corresponding leg of the other, then the triangles are congruent. The document also notes that the Side-Side-Angle (SSA) relationship is not sufficient alone to prove triangles congruent.
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Ch 12 unit schedule
This document outlines the Geometry 2016 Chapter 12 unit on 3D shapes that will be covered from April 11th to April 29th. It includes the chapter sections and topics to be covered each day, such as different types of prisms and pyramids, as well as the homework assignments and assessments including quizzes, tests, and a study guide.
Ch 10 unit schedule
This document provides a schedule for Geometry Chapter 10 on Circles over a two week period from February 29th to March 11th and March 21st to March 25th. Each day covers a different section of the chapter, with assigned problems and quizzes listed. The schedule culminates with a paper plate review, studying for the chapter test, taking the test, and then correcting any errors on the test.
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4.8 notes
This document discusses different types of congruence transformations: translations, reflections, and rotations. It provides coordinate notation to describe each transformation. Translations move a figure the same distance in the same direction and are written as (x+a, y+b). Reflections create a mirror image, with reflections across the x-axis written as (x, -y) and across the y-axis as (-x, y). Rotations turn a figure around a center point, with clockwise and counterclockwise rotations shown. The document concludes by assigning homework problems from the text.
3.3 notes
This document discusses six theorems for proving that two lines are parallel: (1) the corresponding angles converse theorem, (2) the alternate interior angles converse theorem, (3) the alternate exterior angles converse theorem, (4) the consecutive interior angles converse theorem, (5) using a paragraph proof, and (6) the transitive property of parallel lines theorem. It also assigns homework problems from page 165 involving using these theorems to prove lines are parallel.
3.4 notes
This document contains notes on slope from a geometry class. It defines slope as the ratio of rise over run between two points on a line. It explains that negative slope means a line falls from left to right, positive slope means it rises, zero slope is a horizontal line, and undefined slope is a vertical line. It states the postulates that parallel lines have the same slope, and perpendicular lines have slopes that multiply to -1. The document provides examples and guided practice problems for students to complete on finding and using slopes of lines.
2.2 p2 notes
This document contains notes from a math class on biconditional statements. It includes:
1) Definitions of conditional statements, converse, inverse, and contrapositive statements.
2) Examples of analyzing whether conditional statements, their converses, inverses, and contrapositives are true or false.
3) An explanation that biconditional statements can be used when a conditional statement and its converse are both true, using "if and only if".
4) Homework assigned from pages 82-83 of the textbook problems #3-5, 7-15, 31-32 and #16-18.
1.3 notes
This document discusses regular pay and overtime pay rates. It provides examples of calculating time-and-a-half and double-time pay rates based on an employee's regular hourly rate. It also shows examples of calculating gross weekly wages for employees who worked overtime, using their regular pay rates and hours worked.
2.1 deductions notes
The document discusses various payroll deductions including:
- Federal income tax withholding which is determined using Form W-4 and IRS withholding tables.
- Social Security (FICA) tax of 6.2% and Medicare tax of 1.45% are withheld from employee wages.
- Missouri state income tax ranges from 1.5% to 6% depending on taxable income bracket.
- Examples are provided to calculate taxes withheld for federal income tax, Social Security, Medicare, and state income tax for different income amounts.
1.3 notes
1. The document discusses the midpoint and distance formulas. The midpoint formula finds the midpoint of a segment between two points by taking the average of the x-coordinates and y-coordinates. The distance formula calculates the distance between two points by taking the square root of the sum of the differences of the x-coordinates and y-coordinates squared. Examples are provided to demonstrate calculating midpoints and distances. Homework problems from page 19 numbers 4 through 36 are assigned except for number 24.
10.1 notes
The document defines key terms related to circles such as radius, diameter, chord, secant, and tangent. It explains that a tangent line intersects a circle at only one point and is perpendicular to the radius drawn to that point. The document also discusses coplanar circles that can intersect in two points, one point, or no points, and defines a common tangent as a line that is tangent to two coplanar circles. Finally, it provides two theorems: the tangent theorem and the congruent tangent theorem, and includes some example problems.
4.6 apr notes
The document discusses various methods that credit card companies use to calculate interest charges and balances, including:
- The previous balance method, which charges interest on the previous month's balance and does not include any credits from the current month.
- The adjusted balance method, which subtracts any payments or credits from the previous month's balance before calculating interest.
- The average daily balance method, which calculates interest based on the average balance over the billing period rather than the balance on a single day. It involves calculating the balance each day and taking the average.
- An example is provided to illustrate how to calculate the average daily balance over a 7-day period with various purchases and payments. Taking the total of
Add sub measurements notes
This document provides examples and instructions for adding and subtracting measurements involving feet, inches, yards, and miles. It includes examples of adding and subtracting lengths like 3'7" + 4'2". It provides instructions that when adding, like units are added together and inches over 12 inches are converted to feet. It also includes examples of subtracting measurements where the units subtracted must be smaller than the number subtracted from. There are practice problems provided to add and subtract various length measurements involving feet, inches, and yards.
2.1 notes
This document discusses inductive reasoning. It defines inductive reasoning as reaching a conclusion based on patterns observed. Some examples are given of making conjectures about numerical patterns and finding the next terms. It also discusses counterexamples, which are specific cases where a conjecture is found to be false. Readers are asked to provide an example of a counterexample that could disprove a conclusion about getting shocked after walking on carpet and touching a door knob. In summary, the document provides an overview of inductive reasoning and examples of making conjectures and identifying counterexamples.
Unit 5 bingo
This document contains a bingo card with 45 numbers or expressions in a question bank and 24 empty boxes to be filled in for bingo. The questions cover geometry topics like finding lengths, coordinates, properties of triangles. When a player matches numbers from the questions asked to the bingo card, they can call bingo.
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Similar to 5.3 5.4 notes
5.3 5.4 notes
This document discusses geometry concepts related to angle bisectors, medians, and altitudes of triangles. It defines an angle bisector as a ray that divides an angle into two equal parts, and defines properties like the angle bisector theorem. It also discusses the incenter point of concurrency of the three angle bisectors. Medians are defined as segments from vertices to midpoint of the opposite sides, and the centroid point is given as the concurrency of medians. Altitudes are defined as perpendicular segments from vertices to opposite sides, with the orthocenter being the point where the three altitudes meet. Students are assigned homework problems related to these concepts.
2.7 notes
This document discusses several angle pair theorems: the right angle congruence theorem which states that all right angles are congruent; the congruent supplements theorem which states that if two angles are supplementary to the same angle then they are congruent; the congruent complements theorem which states that if two angles are complementary to the same angle then they are congruent; the linear pair postulate which states that if two angles form a linear pair then they are supplementary; and the vertical angles theorem which states that vertical angles are congruent. The document provides proofs for some of these theorems and examples of how to prove the congruent complements theorem. It also assigns homework problems related to these angle pair theorems.
Geometry Section 5-1 1112
The document discusses bisectors of triangles, including perpendicular bisectors and angle bisectors. It defines key terms like perpendicular bisector, concurrent lines, circumcenter, and incenter. Theorems are presented about the properties of points on perpendicular bisectors, including that they are equidistant from the endpoints of the bisected segment. Similarly, points on angle bisectors are equidistant from the sides of the bisected angle. The circumcenter and incenter are shown to be equidistant from the vertices and sides of a triangle respectively. Examples demonstrate applying the concepts.
4.7 notes
The document defines and discusses properties of isosceles and equilateral triangles. It states that if two sides of a triangle are congruent, then the angles opposite those sides are congruent (the base angles theorem), and vice versa. It also notes that if a triangle is equilateral, then it is also equiangular, and if a triangle is equiangular, then it is equilateral. Examples are given to demonstrate finding side lengths and angle measures in isosceles and equilateral triangles.
6.7 notes
The document discusses dilations, which are transformations that stretch or shrink shapes by a scale factor relative to a fixed center point. A dilation is notated as (x,y) -> (kx, ky), where k is the scale factor and (x,y) are the original coordinates being dilated. If k is between 0 and 1, it represents a reduction, while if k is greater than 1, it represents an enlargement. Points on a figure and their images under a dilation lie on the same ray from the center of dilation.
1.7 notes
This document discusses perimeter, circumference, and area formulas for basic shapes. It provides the formulas for calculating the perimeter of squares, rectangles, triangles, and circles. It also provides the formulas for calculating the area of squares, rectangles, triangles, and circles. Mnemonic devices are included to help remember the circumference and area formulas for circles. For homework, students are assigned problems 5 through 29 of page 52 involving these formulas.
4.4 notes
The document discusses two theorems for proving triangles are congruent:
1) Side-Angle-Side (SAS) theorem - If two triangles have two sides and the included angle of one equal to two sides and the included angle of the other, then the triangles are congruent.
2) Hypotenuse-Leg (HL) theorem - If two right triangles have one hypotenuse and one leg of one equal to the hypotenuse and corresponding leg of the other, then the triangles are congruent. The document also notes that the Side-Side-Angle (SSA) relationship is not sufficient alone to prove triangles congruent.
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This document outlines the Geometry 2016 Chapter 12 unit on 3D shapes that will be covered from April 11th to April 29th. It includes the chapter sections and topics to be covered each day, such as different types of prisms and pyramids, as well as the homework assignments and assessments including quizzes, tests, and a study guide.
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A volleyball tournament will be held on May 2nd at 9am at the Max Evans Gym to benefit the Strafford Indian Volleyball Program. The tournament will feature fun rules, games and prizes and cost $10 per person to register, either as part of a team of 6-8 players or individually. People can register their teams on Facebook or by contacting the coaches Ashley Bough or Angelina Hedrick by May 1st.
12.3 notes
This document contains notes and examples for calculating the surface area of pyramids and cones. It provides the formulas for finding the surface area of regular pyramids and cones. For pyramids, the surface area equals one-half the perimeter of the base times the sum of the slant height and apothem. For cones, the surface area equals pi times the radius squared plus pi times the radius times the slant height. The document includes practice problems applying these formulas to find the surface area of various pyramids and cones.
12.2 notes
The document discusses surface area formulas for prisms and cylinders. It defines surface area as the sum of the areas of all surfaces that enclose a solid. For prisms, surface area is calculated as the perimeter of the base multiplied by the height, plus twice the area of the base. For cylinders, surface area is the circumference of the base multiplied by the height, plus twice the area of the circular base. The document provides examples of applying these formulas to prisms and cylinders.
12.5 notes
This document contains information about the law of cosines from a geometry homework assignment on page 678 problems 14 through 20, dated April 09, 2015. The document title and date are repeated multiple times.
12.4 notes
This document contains information about the law of sines for a math homework assignment. It lists the topic as the law of sines and directs the student to problems 15-17 and 29-31 on page 672 of their homework, which was assigned on April 08, 2015. The document repeats this information four times.
12.1 notes
This document contains notes from a math class where students were working on homework problems involving trigonometry (SOHCAHTOA) and multiples of 3. The notes are dated April 08, 2015 and reference homework page 648 problems 12 through 36 dealing with multiples of 3.
11.7 notes
This document contains notes from an 11th grade math class on the topic of geometric probability. It includes examples of calculating the probability of events based on ratios of lengths and areas, such as the probability of a driver speeding in front of a school based on the length of road in front of the school over the total road length. The homework problems assigned were problems 4-10 of the even numbers, 20-23, and 30-33 on page 774 of the textbook.
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5.3 5.4 notes
- 1. 5.35.4 Angle Bisectors, Medians & Altitudes November 05, 2012 Bellwork Do problems on HW worksheet. 5.1 #2, 14 5.1 2. x=8 5.2 #2, 6, 8 14. DE = 17 5.2 2. AB = 26 6. yes 8. DE = 44 Nov 82:25 PM HW Wkst Evens 1
- 2. 5.35.4 Angle Bisectors, Medians & Altitudes November 05, 2012 5.3 Angle Bisectors Angle Bisector Theorem: If a point is on the < bisector, then it is equidistant from the 2 sides of the angle. B D A DB = DC C Converse of Angle Bisector Theorem: If a point is in the interior of an < and is equidistant from the sides of the <, then it lies on the < bisector. B D AD bisects <BAC A C Nov 82:35 PM HW Wkst Evens 2
- 3. 5.35.4 Angle Bisectors, Medians & Altitudes November 05, 2012 5.4 Medians & Altitudes Median: egment from a vertex to the midpoint of opposite side s Centroid: point of concurrency (intersection of medians) Concurrency of Medians of a Triangle Theorem: The medians intersect at a point that is 2/3 of the distance from each vertex to the midpoint of the opposite side. B D E P AP = 2/3 AE BP = 2/3 BF A C CP = 2/3 CD F Nov 108:05 AM HW Wkst Evens 3
- 4. 5.35.4 Angle Bisectors, Medians & Altitudes November 05, 2012 Nov 123:38 PM HW Wkst Evens 4
- 5. 5.35.4 Angle Bisectors, Medians & Altitudes November 05, 2012 Altitude: perpendicular segment form a vertex to the opposite side Concurrency of Altitudes Theorem: The lines containing the altitudes are concurrent. Nov 108:18 AM HW Wkst Evens 5
- 6. 5.35.4 Angle Bisectors, Medians & Altitudes November 05, 2012 HW 5.35.4 Worksheet Evens Nov 108:33 AM HW Wkst Evens 6
- 7. 5.35.4 Angle Bisectors, Medians & Altitudes November 05, 2012 Nov 167:14 AM HW Wkst Evens 7
- 8. 5.35.4 Angle Bisectors, Medians & Altitudes November 05, 2012 Nov 167:15 AM HW Wkst Evens 8