Unit 2 Lesson 6 Proving Angles Congruent
Unit 2 Lesson 6: Proving Angles Congruent
Lesson Overview
Writing Proofs
What You Will Learn
- Writing proofs involving angles.
- Using deductive reasoning to contribute to your confidence and accuracy when writing proofs
Overview
In this lesson, you will learn how to write proofs about angles. You will show your understanding by using deductive reasoning to write proofs.
Essential Understanding
A theorem is a conjecture or statement that you prove true. You can use given information, definitions, properties, postulates, and previously proven theorems as reasons in a proof.
Read pages 82-89 in your course textbook by clicking on the textbook icon
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 6 Proving Angles Congruent
Additional Resources (Proving Angles Congruent)
Proceed to the Next Page
Prepare for Application
Instructions
You have now studied Proving Angles Congruent. 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.
Activity 1
What is the value of x in the figure below?
Activity 2
Use the following diagram for questions 1-2.
- Use the Vertical Angles Theorem to prove the following:
- Given: ∠1 ≅ ∠2
- Prove: ∠1 ≅ ∠2 ≅ ∠3 ≅ ∠4
- How can you prove ∠1 ≅ ∠2 ≅ ∠3 ≅ ∠4 without using the vertical angles theorem? Explain.
Activity 3
Write a paragraph proof for the vertical angles theorem.