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 how to prove statements on triangle congruence. You will be able to know how to prove that the corresponding parts of congruent triangles are congruent. The scope of this module enables you to use it in many different learning situations. The lesson is arranged to follow the standard sequence of the lesson. 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 Statements on Triangle Congruence
After going through this module, you are expected to:
1. identify statements on triangle congruence;
2. apply the postulates and theorems on triangle congruence to prove statements involving (a) multiple angles, (b) isosceles triangle, (c) overlapping triangles; and
3. relate the importance of proving statements on triangle congruence in real life situations.