![]() ![]() prove the conditions for similarity of right triangles. What are the right triangles in the figure SLIDESMANIA.COM RIGHT TRIANGLE S IMILARITY THEOREM ( RTST) Right Triangle Similarity Theorem (RTST) states that, if the altitude is drawn to the hypotenuse of a right triangle, then the two triangles formed are similar to the original triangle and to each other.The module is comprised only of one lesson:Īfter going through this module, you are expected to: But the order in which you read them can be changed to correspond with the textbook you are now using. The lessons are arranged to follow the standard sequence of the course. The language used recognizes the diverse vocabulary level of students. The scope of this module permits it to be used in many different learning situations. It is here to help you master the Right Triangle Similarity Theorems. Two triangles are similar if an angle of one triangle is congruent to an angle of another triangle and the corresponding sides including those angles are in. This module was designed and written with you in mind. And read the instructions carefully before performing each task. Side Side Side (SSS) Similarity Theorem If the ratios of three pairs of sides are all equal, they are similar. Side Side Side (SSS) Similarity Theorem Side Angle Side (SAS) Similarity Theorem Angle Angle (AA) Similarity Theorem The details of each are as follows. Use a separate sheet of paper in answering the exercises and tests. Here are the similarity conditions for triangles. Do not put unnecessary marks on any part of this SLM. We trust that you will be honest in using these. fRIGHT-TRIANGLE SIMILARITY THEOREM If the altitude is drawn to the hypotenuse of a right triangle, then the two triangles formed are similar to the original triangle and to each other. Answer keys are provided for each activity and test. At the end of each module, you need to answer the post-test to self-check your learning. 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. These two right triangles are similar and are both. Pre-tests are provided to measure your prior knowledge on lessons in each SLM. A right triangle can be divided into two right triangles by drawing its altitude to the hypotenuse. Each part shall guide you step-by-step as you discover and understand the lesson prepared for you. Activities, questions, directions, exercises, and discussions are carefully stated for you to understand each lesson.Įach SLM is composed of different parts. This Self-Learning Module (SLM) is prepared so that you, our dear learners, can continue your studies and learn while at home.
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