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Fun Geometry: Congruent Triangles and Angles Worksheet for Class 7 & 9

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Fun Geometry: Congruent Triangles and Angles Worksheet for Class 7 & 9
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Trinity ☕️

@coffee_breakk

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6 Followers

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This document provides an overview of key geometric concepts, focusing on angles, triangles, and quadrilaterals. It covers various types of angles, triangle congruence rules, and properties of different shapes, serving as a comprehensive guide for students studying geometry.

• The document is divided into three pages, each presenting different geometric concepts.
• Page 1 focuses on types of angles and their relationships.
• Page 2 covers properties of equality and triangle congruence rules.
• Page 3 describes specific types of triangles and quadrilaterals.
• The information is presented in a table format with terms, definitions, and visual representations.

9/26/2023

170

TIP CHART
GEOM.-MODULE 4
Information
two adjacent angles that.
add up to 180°
Term
Linear Pairs
Congruent Angles
Supplementary
Angles
Comple

View

Types of Triangles and Quadrilaterals

This page focuses on specific types of triangles and quadrilaterals, expanding on the properties of triangles and introducing various quadrilateral shapes.

The HL (Hypotenuse-Leg) congruence rule for right triangles is explained, which is a special case of triangle congruence.

Definition: The RHS congruence rule (also known as HL) states that if the hypotenuse and a leg of one right triangle are congruent to the corresponding parts of another right triangle, then the triangles are congruent.

Different types of triangles are defined, including right triangles, equilateral triangles, and isosceles triangles.

Vocabulary: An equilateral triangle has all sides equal, while an isosceles triangle has two equal sides.

The page then introduces various quadrilaterals: squares, rhombuses, rectangles, trapezoids, and parallelograms.

Example: A square is a quadrilateral with four equal sides and four right angles, combining properties of both rhombuses and rectangles.

Highlight: Understanding the properties of these shapes is crucial for solving problems in geometry worksheets and applying congruent triangles rules in more complex scenarios.

This comprehensive overview of triangles and quadrilaterals helps students build a strong foundation in geometry, preparing them for more advanced concepts in higher classes.

TIP CHART
GEOM.-MODULE 4
Information
two adjacent angles that.
add up to 180°
Term
Linear Pairs
Congruent Angles
Supplementary
Angles
Comple

View

Angles and Their Relationships

This page introduces various types of angles and their characteristics, essential for understanding properties of triangles in geometry worksheets.

Linear pairs are defined as two adjacent angles that add up to 180°. This concept is crucial for understanding linear pairs and supplementary angles in geometry.

Definition: Linear pair angles are two adjacent angles that form a straight line and sum to 180°.

The page also covers congruent angles, supplementary angles, and complementary angles.

Vocabulary: Supplementary angles are pairs of angles whose sum is 180°, while complementary angles add up to 90°.

Various types of angles formed by parallel lines and a transversal are explained, including corresponding angles, alternate interior angles, alternate exterior angles, same side interior angles, and same side exterior angles.

Example: Alternate interior angles are formed inside two parallel lines when intersected by a transversal and are equal to each other.

Highlight: Understanding these angle relationships is fundamental for solving problems related to congruence of triangles in Class 7 and Class 9.

TIP CHART
GEOM.-MODULE 4
Information
two adjacent angles that.
add up to 180°
Term
Linear Pairs
Congruent Angles
Supplementary
Angles
Comple

View

Properties of Equality and Triangle Congruence

This page delves into properties of equality and congruent triangles rules, which are essential for understanding congruence of triangles in Class 9.

The transitive property, reflexive property, substitution property, and subtraction property of equality are explained, providing a foundation for mathematical reasoning in geometry.

Definition: The transitive property states that if a = b and b = c, then a = c.

The page then introduces the congruent triangles rules, including SSS (Side-Side-Side), SAS (Side-Angle-Side), ASA (Angle-Side-Angle), and AAS/SAA (Angle-Angle-Side/Side-Angle-Angle).

Highlight: The SAS congruence rule states that two triangles are congruent if two sides and the included angle of one triangle are equal to the corresponding parts of another triangle.

Example: In the ASA congruence rule, two triangles are congruent if two angles and the included side of one triangle are equal to the corresponding parts of another triangle.

These rules are crucial for proving triangle congruence and solving problems in geometry worksheets.

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Knowunity is the # 1 ranked education app in five European countries

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SuSSan, iOS User

Love this App ❤️, I use it basically all the time whenever I'm studying

Fun Geometry: Congruent Triangles and Angles Worksheet for Class 7 & 9

user profile picture

Trinity ☕️

@coffee_breakk

·

6 Followers

Follow

This document provides an overview of key geometric concepts, focusing on angles, triangles, and quadrilaterals. It covers various types of angles, triangle congruence rules, and properties of different shapes, serving as a comprehensive guide for students studying geometry.

• The document is divided into three pages, each presenting different geometric concepts.
• Page 1 focuses on types of angles and their relationships.
• Page 2 covers properties of equality and triangle congruence rules.
• Page 3 describes specific types of triangles and quadrilaterals.
• The information is presented in a table format with terms, definitions, and visual representations.

9/26/2023

170

 

10th

 

Geometry

62

TIP CHART
GEOM.-MODULE 4
Information
two adjacent angles that.
add up to 180°
Term
Linear Pairs
Congruent Angles
Supplementary
Angles
Comple

Types of Triangles and Quadrilaterals

This page focuses on specific types of triangles and quadrilaterals, expanding on the properties of triangles and introducing various quadrilateral shapes.

The HL (Hypotenuse-Leg) congruence rule for right triangles is explained, which is a special case of triangle congruence.

Definition: The RHS congruence rule (also known as HL) states that if the hypotenuse and a leg of one right triangle are congruent to the corresponding parts of another right triangle, then the triangles are congruent.

Different types of triangles are defined, including right triangles, equilateral triangles, and isosceles triangles.

Vocabulary: An equilateral triangle has all sides equal, while an isosceles triangle has two equal sides.

The page then introduces various quadrilaterals: squares, rhombuses, rectangles, trapezoids, and parallelograms.

Example: A square is a quadrilateral with four equal sides and four right angles, combining properties of both rhombuses and rectangles.

Highlight: Understanding the properties of these shapes is crucial for solving problems in geometry worksheets and applying congruent triangles rules in more complex scenarios.

This comprehensive overview of triangles and quadrilaterals helps students build a strong foundation in geometry, preparing them for more advanced concepts in higher classes.

TIP CHART
GEOM.-MODULE 4
Information
two adjacent angles that.
add up to 180°
Term
Linear Pairs
Congruent Angles
Supplementary
Angles
Comple

Angles and Their Relationships

This page introduces various types of angles and their characteristics, essential for understanding properties of triangles in geometry worksheets.

Linear pairs are defined as two adjacent angles that add up to 180°. This concept is crucial for understanding linear pairs and supplementary angles in geometry.

Definition: Linear pair angles are two adjacent angles that form a straight line and sum to 180°.

The page also covers congruent angles, supplementary angles, and complementary angles.

Vocabulary: Supplementary angles are pairs of angles whose sum is 180°, while complementary angles add up to 90°.

Various types of angles formed by parallel lines and a transversal are explained, including corresponding angles, alternate interior angles, alternate exterior angles, same side interior angles, and same side exterior angles.

Example: Alternate interior angles are formed inside two parallel lines when intersected by a transversal and are equal to each other.

Highlight: Understanding these angle relationships is fundamental for solving problems related to congruence of triangles in Class 7 and Class 9.

TIP CHART
GEOM.-MODULE 4
Information
two adjacent angles that.
add up to 180°
Term
Linear Pairs
Congruent Angles
Supplementary
Angles
Comple

Properties of Equality and Triangle Congruence

This page delves into properties of equality and congruent triangles rules, which are essential for understanding congruence of triangles in Class 9.

The transitive property, reflexive property, substitution property, and subtraction property of equality are explained, providing a foundation for mathematical reasoning in geometry.

Definition: The transitive property states that if a = b and b = c, then a = c.

The page then introduces the congruent triangles rules, including SSS (Side-Side-Side), SAS (Side-Angle-Side), ASA (Angle-Side-Angle), and AAS/SAA (Angle-Angle-Side/Side-Angle-Angle).

Highlight: The SAS congruence rule states that two triangles are congruent if two sides and the included angle of one triangle are equal to the corresponding parts of another triangle.

Example: In the ASA congruence rule, two triangles are congruent if two angles and the included side of one triangle are equal to the corresponding parts of another triangle.

These rules are crucial for proving triangle congruence and solving problems in geometry worksheets.

Can't find what you're looking for? Explore other subjects.

Knowunity is the # 1 ranked education app in five European countries

Knowunity was a featured story by Apple and has consistently topped the app store charts within the education category in Germany, Italy, Poland, Switzerland and United Kingdom. Join Knowunity today and help millions of students around the world.

Ranked #1 Education App

Download in

Google Play

Download in

App Store

Knowunity is the # 1 ranked education app in five European countries

4.9+

Average App Rating

13 M

Students use Knowunity

#1

In Education App Charts in 12 Countries

950 K+

Students uploaded study notes

Still not sure? Look at what your fellow peers are saying...

iOS User

I love this app so much [...] I recommend Knowunity to everyone!!! I went from a C to an A with it :D

Stefan S, iOS User

The application is very simple and well designed. So far I have found what I was looking for :D

SuSSan, iOS User

Love this App ❤️, I use it basically all the time whenever I'm studying