Grade 8 Mathematics Module: Proving Two Triangles are Congruent

This Self-Learning Module (SLM) is prepared so that you, our dear learners, can continue your studies and learn while at home. Activities, questions, directions, exercises, and discussions are carefully stated for you to understand each lesson.

Each SLM is composed of different parts. Each part shall guide you step-by-step as you discover and understand the lesson prepared for you.

Pre-tests are provided to measure your prior knowledge on lessons in each SLM. This will tell you if you need to proceed on completing this module or if you need to ask your facilitator or your teacher’s assistance for better understanding of the lesson. At the end of each module, you need to answer the post-test to self-check your learning. Answer keys are provided for each activity and test. We trust that you will be honest in using these.

Please use this module with care. Do not put unnecessary marks on any part of this SLM. Use a separate sheet of paper in answering the exercises and tests. And read the instructions carefully before performing each task.

This module is designed for you to understand what it means for two triangles to be congruent and the ways to prove that these triangles are congruent using the theorems and postulates on triangle congruence. This will help you also learn how to prove some theorems of triangle congruence including the right triangles. You will be guided on how to make statements step-by-step and how to make reasons in each corresponding statement. The scope of this module enables you to use it in many different learning situations. The lessons are arranged to follow the standard sequencebof the course. But the order in which you read them can be changed to correspond with the textbook you are now using.

This module contains:

Lesson 1: Proving Two Triangles Are Congruent

After going through this module, you are expected to:

1. identify conditions for triangle congruence;

2. use triangle congruence postulates and theorems to prove that two triangles are congruent;

3. use two-column proof in proving that two triangles are congruent; and

4. recognize real-life applications of congruent triangles.

Grade 8 Mathematics Quarter 3 Self-Learning Module: Proving Two Triangles are Congruent


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