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

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user profile picture

Trinity ☕️

7/14/2025

Geometry

Vocab for Module 4

179

Jul 14, 2025

3 pages

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

user profile picture

Trinity ☕️

@coffee_breakk

This document provides an overview of key geometric concepts, focusing... Show more

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 SideSideSideSide-Side-Side, SAS SideAngleSideSide-Angle-Side, ASA AngleSideAngleAngle-Side-Angle, and AAS/SAA AngleAngleSide/SideAngleAngleAngle-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.

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 HypotenuseLegHypotenuse-Leg congruence rule for right triangles is explained, which is a special case of triangle congruence.

Definition: The RHS congruence rule alsoknownasHLalso 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.



We thought you’d never ask...

What is the Knowunity AI companion?

Our AI companion is specifically built for the needs of students. Based on the millions of content pieces we have on the platform we can provide truly meaningful and relevant answers to students. But its not only about answers, the companion is even more about guiding students through their daily learning challenges, with personalised study plans, quizzes or content pieces in the chat and 100% personalisation based on the students skills and developments.

Where can I download the Knowunity app?

You can download the app in the Google Play Store and in the Apple App Store.

Is Knowunity really free of charge?

You have the choice, we offer a 100% secure payment via PayPal or an Amazon gift card. There is no limit to how much you can earn.

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

Students love us — and so will you.

4.9/5

App Store

4.8/5

Google Play

The app is very easy to use and well designed. I have found everything I was looking for so far and have been able to learn a lot from the presentations! I will definitely use the app for a class assignment! And of course it also helps a lot as an inspiration.

Stefan S

iOS user

This app is really great. There are so many study notes and help [...]. My problem subject is French, for example, and the app has so many options for help. Thanks to this app, I have improved my French. I would recommend it to anyone.

Samantha Klich

Android user

Wow, I am really amazed. I just tried the app because I've seen it advertised many times and was absolutely stunned. This app is THE HELP you want for school and above all, it offers so many things, such as workouts and fact sheets, which have been VERY helpful to me personally.

Anna

iOS user

I think it’s very much worth it and you’ll end up using it a lot once you get the hang of it and even after looking at others notes you can still ask your Artificial intelligence buddy the question and ask to simplify it if you still don’t get it!!! In the end I think it’s worth it 😊👍 ⚠️Also DID I MENTION ITS FREEE YOU DON’T HAVE TO PAY FOR ANYTHING AND STILL GET YOUR GRADES IN PERFECTLY❗️❗️⚠️

Thomas R

iOS user

Knowunity is the BEST app I’ve used in a minute. This is not an ai review or anything this is genuinely coming from a 7th grade student (I know 2011 im young) but dude this app is a 10/10 i have maintained a 3.8 gpa and have plenty of time for gaming. I love it and my mom is just happy I got good grades

Brad T

Android user

Not only did it help me find the answer but it also showed me alternative ways to solve it. I was horrible in math and science but now I have an a in both subjects. Thanks for the help🤍🤍

David K

iOS user

The app's just great! All I have to do is enter the topic in the search bar and I get the response real fast. I don't have to watch 10 YouTube videos to understand something, so I'm saving my time. Highly recommended!

Sudenaz Ocak

Android user

In school I was really bad at maths but thanks to the app, I am doing better now. I am so grateful that you made the app.

Greenlight Bonnie

Android user

I found this app a couple years ago and it has only gotten better since then. I really love it because it can help with written questions and photo questions. Also, it can find study guides that other people have made as well as flashcard sets and practice tests. The free version is also amazing for students who might not be able to afford it. Would 100% recommend

Aubrey

iOS user

Best app if you're in Highschool or Junior high. I have been using this app for 2 school years and it's the best, it's good if you don't have anyone to help you with school work.😋🩷🎀

Marco B

iOS user

THE QUIZES AND FLASHCARDS ARE SO USEFUL AND I LOVE THE SCHOOLGPT. IT ALSO IS LITREALLY LIKE CHATGPT BUT SMARTER!! HELPED ME WITH MY MASCARA PROBLEMS TOO!! AS WELL AS MY REAL SUBJECTS ! DUHHH 😍😁😲🤑💗✨🎀😮

Elisha

iOS user

This app is phenomenal down to the correct info and the various topics you can study! I greatly recommend it for people who struggle with procrastination and those who need homework help. It has been perfectly accurate for world 1 history as far as I’ve seen! Geometry too!

Paul T

iOS user

The app is very easy to use and well designed. I have found everything I was looking for so far and have been able to learn a lot from the presentations! I will definitely use the app for a class assignment! And of course it also helps a lot as an inspiration.

Stefan S

iOS user

This app is really great. There are so many study notes and help [...]. My problem subject is French, for example, and the app has so many options for help. Thanks to this app, I have improved my French. I would recommend it to anyone.

Samantha Klich

Android user

Wow, I am really amazed. I just tried the app because I've seen it advertised many times and was absolutely stunned. This app is THE HELP you want for school and above all, it offers so many things, such as workouts and fact sheets, which have been VERY helpful to me personally.

Anna

iOS user

I think it’s very much worth it and you’ll end up using it a lot once you get the hang of it and even after looking at others notes you can still ask your Artificial intelligence buddy the question and ask to simplify it if you still don’t get it!!! In the end I think it’s worth it 😊👍 ⚠️Also DID I MENTION ITS FREEE YOU DON’T HAVE TO PAY FOR ANYTHING AND STILL GET YOUR GRADES IN PERFECTLY❗️❗️⚠️

Thomas R

iOS user

Knowunity is the BEST app I’ve used in a minute. This is not an ai review or anything this is genuinely coming from a 7th grade student (I know 2011 im young) but dude this app is a 10/10 i have maintained a 3.8 gpa and have plenty of time for gaming. I love it and my mom is just happy I got good grades

Brad T

Android user

Not only did it help me find the answer but it also showed me alternative ways to solve it. I was horrible in math and science but now I have an a in both subjects. Thanks for the help🤍🤍

David K

iOS user

The app's just great! All I have to do is enter the topic in the search bar and I get the response real fast. I don't have to watch 10 YouTube videos to understand something, so I'm saving my time. Highly recommended!

Sudenaz Ocak

Android user

In school I was really bad at maths but thanks to the app, I am doing better now. I am so grateful that you made the app.

Greenlight Bonnie

Android user

I found this app a couple years ago and it has only gotten better since then. I really love it because it can help with written questions and photo questions. Also, it can find study guides that other people have made as well as flashcard sets and practice tests. The free version is also amazing for students who might not be able to afford it. Would 100% recommend

Aubrey

iOS user

Best app if you're in Highschool or Junior high. I have been using this app for 2 school years and it's the best, it's good if you don't have anyone to help you with school work.😋🩷🎀

Marco B

iOS user

THE QUIZES AND FLASHCARDS ARE SO USEFUL AND I LOVE THE SCHOOLGPT. IT ALSO IS LITREALLY LIKE CHATGPT BUT SMARTER!! HELPED ME WITH MY MASCARA PROBLEMS TOO!! AS WELL AS MY REAL SUBJECTS ! DUHHH 😍😁😲🤑💗✨🎀😮

Elisha

iOS user

This app is phenomenal down to the correct info and the various topics you can study! I greatly recommend it for people who struggle with procrastination and those who need homework help. It has been perfectly accurate for world 1 history as far as I’ve seen! Geometry too!

Paul T

iOS user

 

Geometry

179

Jul 14, 2025

3 pages

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

user profile picture

Trinity ☕️

@coffee_breakk

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... Show more

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

Sign up to see the contentIt's free!

Access to all documents

Improve your grades

Join milions of students

By signing up you accept Terms of Service and Privacy Policy

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 SideSideSideSide-Side-Side, SAS SideAngleSideSide-Angle-Side, ASA AngleSideAngleAngle-Side-Angle, and AAS/SAA AngleAngleSide/SideAngleAngleAngle-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.

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

Sign up to see the contentIt's free!

Access to all documents

Improve your grades

Join milions of students

By signing up you accept Terms of Service and Privacy Policy

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 HypotenuseLegHypotenuse-Leg congruence rule for right triangles is explained, which is a special case of triangle congruence.

Definition: The RHS congruence rule alsoknownasHLalso 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

Sign up to see the contentIt's free!

Access to all documents

Improve your grades

Join milions of students

By signing up you accept Terms of Service and Privacy Policy

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.

We thought you’d never ask...

What is the Knowunity AI companion?

Our AI companion is specifically built for the needs of students. Based on the millions of content pieces we have on the platform we can provide truly meaningful and relevant answers to students. But its not only about answers, the companion is even more about guiding students through their daily learning challenges, with personalised study plans, quizzes or content pieces in the chat and 100% personalisation based on the students skills and developments.

Where can I download the Knowunity app?

You can download the app in the Google Play Store and in the Apple App Store.

Is Knowunity really free of charge?

You have the choice, we offer a 100% secure payment via PayPal or an Amazon gift card. There is no limit to how much you can earn.

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

Students love us — and so will you.

4.9/5

App Store

4.8/5

Google Play

The app is very easy to use and well designed. I have found everything I was looking for so far and have been able to learn a lot from the presentations! I will definitely use the app for a class assignment! And of course it also helps a lot as an inspiration.

Stefan S

iOS user

This app is really great. There are so many study notes and help [...]. My problem subject is French, for example, and the app has so many options for help. Thanks to this app, I have improved my French. I would recommend it to anyone.

Samantha Klich

Android user

Wow, I am really amazed. I just tried the app because I've seen it advertised many times and was absolutely stunned. This app is THE HELP you want for school and above all, it offers so many things, such as workouts and fact sheets, which have been VERY helpful to me personally.

Anna

iOS user

I think it’s very much worth it and you’ll end up using it a lot once you get the hang of it and even after looking at others notes you can still ask your Artificial intelligence buddy the question and ask to simplify it if you still don’t get it!!! In the end I think it’s worth it 😊👍 ⚠️Also DID I MENTION ITS FREEE YOU DON’T HAVE TO PAY FOR ANYTHING AND STILL GET YOUR GRADES IN PERFECTLY❗️❗️⚠️

Thomas R

iOS user

Knowunity is the BEST app I’ve used in a minute. This is not an ai review or anything this is genuinely coming from a 7th grade student (I know 2011 im young) but dude this app is a 10/10 i have maintained a 3.8 gpa and have plenty of time for gaming. I love it and my mom is just happy I got good grades

Brad T

Android user

Not only did it help me find the answer but it also showed me alternative ways to solve it. I was horrible in math and science but now I have an a in both subjects. Thanks for the help🤍🤍

David K

iOS user

The app's just great! All I have to do is enter the topic in the search bar and I get the response real fast. I don't have to watch 10 YouTube videos to understand something, so I'm saving my time. Highly recommended!

Sudenaz Ocak

Android user

In school I was really bad at maths but thanks to the app, I am doing better now. I am so grateful that you made the app.

Greenlight Bonnie

Android user

I found this app a couple years ago and it has only gotten better since then. I really love it because it can help with written questions and photo questions. Also, it can find study guides that other people have made as well as flashcard sets and practice tests. The free version is also amazing for students who might not be able to afford it. Would 100% recommend

Aubrey

iOS user

Best app if you're in Highschool or Junior high. I have been using this app for 2 school years and it's the best, it's good if you don't have anyone to help you with school work.😋🩷🎀

Marco B

iOS user

THE QUIZES AND FLASHCARDS ARE SO USEFUL AND I LOVE THE SCHOOLGPT. IT ALSO IS LITREALLY LIKE CHATGPT BUT SMARTER!! HELPED ME WITH MY MASCARA PROBLEMS TOO!! AS WELL AS MY REAL SUBJECTS ! DUHHH 😍😁😲🤑💗✨🎀😮

Elisha

iOS user

This app is phenomenal down to the correct info and the various topics you can study! I greatly recommend it for people who struggle with procrastination and those who need homework help. It has been perfectly accurate for world 1 history as far as I’ve seen! Geometry too!

Paul T

iOS user

The app is very easy to use and well designed. I have found everything I was looking for so far and have been able to learn a lot from the presentations! I will definitely use the app for a class assignment! And of course it also helps a lot as an inspiration.

Stefan S

iOS user

This app is really great. There are so many study notes and help [...]. My problem subject is French, for example, and the app has so many options for help. Thanks to this app, I have improved my French. I would recommend it to anyone.

Samantha Klich

Android user

Wow, I am really amazed. I just tried the app because I've seen it advertised many times and was absolutely stunned. This app is THE HELP you want for school and above all, it offers so many things, such as workouts and fact sheets, which have been VERY helpful to me personally.

Anna

iOS user

I think it’s very much worth it and you’ll end up using it a lot once you get the hang of it and even after looking at others notes you can still ask your Artificial intelligence buddy the question and ask to simplify it if you still don’t get it!!! In the end I think it’s worth it 😊👍 ⚠️Also DID I MENTION ITS FREEE YOU DON’T HAVE TO PAY FOR ANYTHING AND STILL GET YOUR GRADES IN PERFECTLY❗️❗️⚠️

Thomas R

iOS user

Knowunity is the BEST app I’ve used in a minute. This is not an ai review or anything this is genuinely coming from a 7th grade student (I know 2011 im young) but dude this app is a 10/10 i have maintained a 3.8 gpa and have plenty of time for gaming. I love it and my mom is just happy I got good grades

Brad T

Android user

Not only did it help me find the answer but it also showed me alternative ways to solve it. I was horrible in math and science but now I have an a in both subjects. Thanks for the help🤍🤍

David K

iOS user

The app's just great! All I have to do is enter the topic in the search bar and I get the response real fast. I don't have to watch 10 YouTube videos to understand something, so I'm saving my time. Highly recommended!

Sudenaz Ocak

Android user

In school I was really bad at maths but thanks to the app, I am doing better now. I am so grateful that you made the app.

Greenlight Bonnie

Android user

I found this app a couple years ago and it has only gotten better since then. I really love it because it can help with written questions and photo questions. Also, it can find study guides that other people have made as well as flashcard sets and practice tests. The free version is also amazing for students who might not be able to afford it. Would 100% recommend

Aubrey

iOS user

Best app if you're in Highschool or Junior high. I have been using this app for 2 school years and it's the best, it's good if you don't have anyone to help you with school work.😋🩷🎀

Marco B

iOS user

THE QUIZES AND FLASHCARDS ARE SO USEFUL AND I LOVE THE SCHOOLGPT. IT ALSO IS LITREALLY LIKE CHATGPT BUT SMARTER!! HELPED ME WITH MY MASCARA PROBLEMS TOO!! AS WELL AS MY REAL SUBJECTS ! DUHHH 😍😁😲🤑💗✨🎀😮

Elisha

iOS user

This app is phenomenal down to the correct info and the various topics you can study! I greatly recommend it for people who struggle with procrastination and those who need homework help. It has been perfectly accurate for world 1 history as far as I’ve seen! Geometry too!

Paul T

iOS user