1. Class Greeting

2. Objective: The students will be able to Prove Congruence – ASA and AAS.

3. Proving Congruence – ASA, AAS, and HL
Chapter 4 – Lesson 4
Proving Congruence – ASA, AAS, and HL

4. Given angles G and  C, side CG is the included side
Vocabulary
Included side (between 2 given angles)
The included side between 2 given angles of a triangle is the side that is a common side to both given angles
Given angles G and  C, side CG is the included side

5. Postulate 4.3 ASA (angle-side-angle congruence)
If two angles and the included side of one triangle are congruent to two angles and the included side of a second triangle then triangles are congruent.

6. Write a paragraph proof.
Given:
Prove: WRL EDL
; L is the midpoint of
Proof: Since it is given that , because alternate interior angles are congruent.
It is also given that L is the midpoint of so by the Midpoint Theorem.
Since vertical angles are congruent,
Therefore WRL EDL by ASA.
Example 5-1a

7. Theorem 4.5 (AAS) (angle-angle-side congruence)
If two angles and a nonincluded side of a triangle are congruent to the corresponding angles and side of a second triangle then the triangles are congruent

8. Write a flow proof.
Given:
Prove:
Proof:
Example 5-2a

9. Given:
Prove:
Write a flow proof.
Proof:
Example 5-2c

10. Kahoot!

11. Lesson Summary:
Objective: The students will be able to Prove Congruence – ASA and AAS.

12. Preview of the Next Lesson:
Objective: The students will be able to Prove Right Triangle Congruence – LL, HA, LA and HL.

13. Stand Up Please