Date:
Name:
Warm Up
1. What are the different ways to prove Triangles Congruent?
2. Determine if the following triangles are congruent. If so, by what Postulate?
Date:
Warm Up
1. What are the different ways to prove Triangles Congruent?
2. Determine if the following triangles are congruent. If so, by what Postulate?
Name:
Triangle Congruence Proofs
Remember your “Reasons”:
What can we use to prove? (for now)
Transitive Property
Substitution Property
Reflexive Property
Definition of Supplementary Angles
Definition of Parallel Lines
Definition of Perpendicular Lines
Definition of Vertical Angles
Linear Pair Postulate
Corresponding Angle Postulate
Alternate Exterior Angle Theorem
Alternate Interior Angle Theorem
Consecutive Interior Angle Theorem
(and the list goes on…)
AND
Congruency Postulates (SSS, SAS, AAS, ASA, and HL)
Complete the following PROOFS of triangle congruence.
1.
2.
3. Construct your own proofs for the following:
4. Construct your own proofs for the following:
̅̅̅̅ ∥ 𝐺𝐴
̅̅̅̅
Given: ∠𝐺 ≅ ∠𝐵, 𝐶𝐵
Prove: ∆𝐺𝐶𝐴 ≅ ∆𝐵𝐴𝐶
Using CPCTC for Triangle Congruency Proofs
CPCTC: _______________________________________________
When do we use CPCTC?
Before you can use CPCTC, you must prove the triangles are ___________ first.
Example 1
Example 2
Triangle Congruence Proof Practice
CPCTC Proof Practice
Homework
1.
2.
Homework
1.
2.
Create your own proof of the based on the given information.
3.
4.
Create your own proof of the based on the given information.
3.
4.