Unit 4 Lesson 7 Congruence in Overlapping Triangles
Unit 4 Lesson 7: Congruence in Overlapping Triangles
Lesson Overview
Why Overlapping?
What You Will Learn
- how to identify congruent overlapping triangles
- prove triangles congruent using other congruent triangles
Overview
In this lesson, you will learn to identify congruent overlapping triangles and prove two congruent ones using other congruent triangles.
Essential Understanding
You can sometimes use the congruent corresponding parts of one pair of congruent triangles to prove another pair of congruent triangles. This often involves overlapping triangles.
Overlapping triangles may have a common side or angle. You can simplify your work with overlapping triangles by separating and redrawing the triangles.
This course is based on a textbook that is viewable by clicking on the textbook icon. Keep the textbook open while you go through the lesson so that you may refer to it throughout the lesson.
Additional Resources
Lesson 7: Congruence in Overlapping Triangles
Additional Resources (Congruence in Overlapping Triangles)
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Prepare for Application
Instructions
You have now studied Congruence in Overlapping Triangles. It is now time to demonstrate your learning.
Try the activities below on your own. You should be able to answer these before beginning the practice.
Do these activities in your journal.
Use the figure below for questions 1-2.
- What is the common side in and ?
- What is the common side in and ?
Given:
Prove:
Given: ,
Prove:
Given: ,
Prove:
