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 was designed and written with you in mind. It will help you to learn the properties of parallel lines. This guides you in discovering the postulates and theorems of parallel lines. Moreover, it introduces the idea of angle pairs when two parallel lines are cut by a transversal line. The lessons are arranged to follow the standard sequence of 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 on proving properties of parallel lines cut by a transversal.
After going through this module, you are expected to:
1. identify the different angle pairs if parallel lines are cut by a transversal,
2. determine the properties of parallel lines when cut by a transversal,
3. find the measures of angles using the properties of parallel lines cut by a transversal,
4. prove properties of parallel lines that are cut by a transversal, and
5. relate real-life problems involving parallel lines cut by a transversal.