Module 2 lesson 1 application
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This document discusses identifying congruent figures and their corresponding congruent parts. It defines congruent figures as having the same shape and size, with their corresponding parts (matching sides and angles) being congruent. It provides two examples of naming congruent sides and angles of congruent triangles based on either a visual comparison or a stated congruence. The document checks the reader's understanding with two short problems identifying congruent parts of triangles.
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10.2 notes
This geometry document discusses congruent triangles. Congruent triangles have the same size and shape. Corresponding parts of congruent triangles match each other. The document asks the reader to name corresponding parts in two congruent triangles and complete a congruence statement describing them.
4 1 Congruent Figures
Congruent figures have the same size and shape. Congruent triangles have corresponding angles and sides that are congruent. For two triangles to be congruent, their corresponding parts (angles and sides) must be congruent. If triangle FAN is congruent to triangle SKY, then their corresponding angles and sides are congruent.
Corresponding parts of congruent figures.
This document section discusses identifying and naming congruent figures. It defines congruent figures as two figures that have the same size and shape. Congruent polygons have matching sides and angles. Corresponding parts of congruent figures are equal. Examples demonstrate writing congruence statements and identifying corresponding congruent parts of triangles.
Triangles
The document discusses different types of triangles based on sides and angles. It introduces similar and congruent shapes, noting that designs often use copying and manipulating a few basic shapes. The remainder of the document covers the basic proportionality theorem and area theorem for similar triangles. It states that if a line is drawn parallel to one side of a triangle, it divides the other two sides proportionally. It also notes that the ratio of areas of similar triangles equals the ratio of corresponding sides squared.
9.5 notes
This document appears to be notes from a math class lesson on congruence. It includes an objective, agenda, examples of congruent triangles and identifying corresponding parts, definitions of side-side-side, side-angle-side and angle-side-angle congruence, and an assignment for homework problems 8 through 32 on page 482 even.
Geometry
This document contains geometry questions that address understanding different categories of quadrilaterals and their attributes. It also contains questions about rounding numbers to the nearest 10 or 100 based on place value. The geometry questions ask students to identify shapes as quadrilaterals or specific types of quadrilaterals like squares and rectangles. The number questions involve rounding whole numbers to the nearest 10 or 100.
Unit 1 day 8 a
The document discusses linear angles and deductive reasoning in geometry. It includes warmups and worksheets on labeling angles, exploring properties of angles when parallel lines are cut by a transversal. These properties include corresponding angles being congruent, same-side exterior angles and alternate interior angles being supplementary. The document provides guidance on writing geometric proofs to show statements are true for all cases using justification, definitions, and relationships between angles. It concludes with preparing for a quiz by summarizing mathematics and checking understanding.
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10.2 notes
This geometry document discusses congruent triangles. Congruent triangles have the same size and shape. Corresponding parts of congruent triangles match each other. The document asks the reader to name corresponding parts in two congruent triangles and complete a congruence statement describing them.
4 1 Congruent Figures
Congruent figures have the same size and shape. Congruent triangles have corresponding angles and sides that are congruent. For two triangles to be congruent, their corresponding parts (angles and sides) must be congruent. If triangle FAN is congruent to triangle SKY, then their corresponding angles and sides are congruent.
Corresponding parts of congruent figures.
This document section discusses identifying and naming congruent figures. It defines congruent figures as two figures that have the same size and shape. Congruent polygons have matching sides and angles. Corresponding parts of congruent figures are equal. Examples demonstrate writing congruence statements and identifying corresponding congruent parts of triangles.
Triangles
The document discusses different types of triangles based on sides and angles. It introduces similar and congruent shapes, noting that designs often use copying and manipulating a few basic shapes. The remainder of the document covers the basic proportionality theorem and area theorem for similar triangles. It states that if a line is drawn parallel to one side of a triangle, it divides the other two sides proportionally. It also notes that the ratio of areas of similar triangles equals the ratio of corresponding sides squared.
9.5 notes
This document appears to be notes from a math class lesson on congruence. It includes an objective, agenda, examples of congruent triangles and identifying corresponding parts, definitions of side-side-side, side-angle-side and angle-side-angle congruence, and an assignment for homework problems 8 through 32 on page 482 even.
Geometry
This document contains geometry questions that address understanding different categories of quadrilaterals and their attributes. It also contains questions about rounding numbers to the nearest 10 or 100 based on place value. The geometry questions ask students to identify shapes as quadrilaterals or specific types of quadrilaterals like squares and rectangles. The number questions involve rounding whole numbers to the nearest 10 or 100.
Unit 1 day 8 a
The document discusses linear angles and deductive reasoning in geometry. It includes warmups and worksheets on labeling angles, exploring properties of angles when parallel lines are cut by a transversal. These properties include corresponding angles being congruent, same-side exterior angles and alternate interior angles being supplementary. The document provides guidance on writing geometric proofs to show statements are true for all cases using justification, definitions, and relationships between angles. It concludes with preparing for a quiz by summarizing mathematics and checking understanding.
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This document discusses different types of 2D and 3D shapes. It provides examples of 2D shapes like squares, triangles, rectangles, and circles. It also lists 3D shapes such as cubes, cuboids, and cylinders. The document explains that 3D objects can be drawn from different perspectives since they look different from different positions. It provides the example of a car having different views. The rest of the document is about different types of maps, including general maps that show an overall layout, and thematic maps that focus on one theme like population levels.
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This document discusses congruence of triangles, which is when two triangles have the same shape and size, meaning one triangle can be repositioned to coincide precisely with the other. It provides examples of congruent and non-congruent triangles based on equal angles and side lengths. The key properties for congruence of triangles are that they must have equal measures of angles and equal lengths of sides.
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For class 7 mathematics.
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Syllabus
Chapter-1
Introduction to objective, scope and outcome the subject
Chapter 2
Introduction: Scope and Specialization of Civil Engineering, Role of civil Engineer in Society, Impact of infrastructural development on economy of country.
Chapter 3
Surveying: Object Principles & Types of Surveying; Site Plans, Plans & Maps; Scales & Unit of different Measurements.
Linear Measurements: Instruments used. Linear Measurement by Tape, Ranging out Survey Lines and overcoming Obstructions; Measurements on sloping ground; Tape corrections, conventional symbols. Angular Measurements: Instruments used; Introduction to Compass Surveying, Bearings and Longitude & Latitude of a Line, Introduction to total station.
Levelling: Instrument used Object of levelling, Methods of levelling in brief, and Contour maps.
Chapter 4
Buildings: Selection of site for Buildings, Layout of Building Plan, Types of buildings, Plinth area, carpet area, floor space index, Introduction to building byelaws, concept of sun light & ventilation. Components of Buildings & their functions, Basic concept of R.C.C., Introduction to types of foundation
Chapter 5
Transportation: Introduction to Transportation Engineering; Traffic and Road Safety: Types and Characteristics of Various Modes of Transportation; Various Road Traffic Signs, Causes of Accidents and Road Safety Measures.
Chapter 6
Environmental Engineering: Environmental Pollution, Environmental Acts and Regulations, Functional Concepts of Ecology, Basics of Species, Biodiversity, Ecosystem, Hydrological Cycle; Chemical Cycles: Carbon, Nitrogen & Phosphorus; Energy Flow in Ecosystems.
Water Pollution: Water Quality standards, Introduction to Treatment & Disposal of Waste Water. Reuse and Saving of Water, Rain Water Harvesting. Solid Waste Management: Classification of Solid Waste, Collection, Transportation and Disposal of Solid. Recycling of Solid Waste: Energy Recovery, Sanitary Landfill, On-Site Sanitation. Air & Noise Pollution: Primary and Secondary air pollutants, Harmful effects of Air Pollution, Control of Air Pollution. . Noise Pollution Harmful Effects of noise pollution, control of noise pollution, Global warming & Climate Change, Ozone depletion, Greenhouse effect
Text Books:
1. Palancharmy, Basic Civil Engineering, McGraw Hill publishers.
2. Satheesh Gopi, Basic Civil Engineering, Pearson Publishers.
3. Ketki Rangwala Dalal, Essentials of Civil Engineering, Charotar Publishing House.
4. BCP, Surveying volume 1
Wound healing PPT
This document provides an overview of wound healing, its functions, stages, mechanisms, factors affecting it, and complications.
A wound is a break in the integrity of the skin or tissues, which may be associated with disruption of the structure and function.
Healing is the body’s response to injury in an attempt to restore normal structure and functions.
Healing can occur in two ways: Regeneration and Repair
There are 4 phases of wound healing: hemostasis, inflammation, proliferation, and remodeling. This document also describes the mechanism of wound healing. Factors that affect healing include infection, uncontrolled diabetes, poor nutrition, age, anemia, the presence of foreign bodies, etc.
Complications of wound healing like infection, hyperpigmentation of scar, contractures, and keloid formation.
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Module 2 lesson 1 application
- 1. Identify congruent figures & their corresponding congruent parts
- 2. Vocabulary Congruent figures have the same _______ & _______ • Their corresponding parts (matching _______ and _________ ) are _________________. shape size sides angles congruent
- 3. Example 1: Naming Congruent Parts of Congruent Figures Angles: Sides: 𝑬𝑫 ≅ 𝑺𝑹 𝑬𝑭 ≅ 𝑺𝑻 𝑫𝑭 ≅ 𝑹𝑻 ∠E ≅ ∠S ∠D ≅ ∠R ∠F ≅ ∠T vertices Triangle Congruence Statement: _________________ ∆EDF ≅ ∆SRT Must list corresponding ___________ in the same order
- 4. Example 2: Naming Congruent Parts of Congruent Figures from a Congruence Statement If HIJK≅LMNO, list the congruent corresponding parts. Angles: Sides: 𝑯𝑰 ≅ 𝑳𝑴 𝑰𝑱 ≅ 𝑴𝑵 𝑱𝑲 ≅ 𝑵𝑶 𝑯𝑲 ≅ 𝑳𝑶 ∠H ≅ ∠L ∠I ≅ ∠M ∠J ≅ ∠N ∠K ≅ ∠O
- 5. Check Your Understanding! 1. Write a triangle congruence statement for the two triangles below: Δ_______ ≅ Δ_______ FGH JKH
- 6. Check Your Understanding! 2. If you are given that ∆AUS ≅ ∆KAP, name the three pairs of congruent sides. 𝑨𝑼 ≅ 𝑲𝑨 𝑼𝑺 ≅ 𝑨𝑷 𝑨𝑺 ≅ 𝑲𝑷