# Grade 9 Mathematics Module: The Pythagorean Theorem

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 teacherâ€™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.

In the previous lessons, you have learned about similarity between two triangles including right triangles. In this module, you will apply the right triangle similarity theorem to prove another theorem that we will use to find the measure of the sides of a right triangle.

After going through with this module, you are expected to be able to prove the conditions for similarity of right triangles.

## Grade 9 Mathematics Quarter 3 Self-Learning Module: The Pythagorean Theorem

MATH9-Q3-MODULE15

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