1. Do Now

2. 4.6: Prove Triangles Congruent by ASA and AAS
Geometry
4.6: Prove Triangles Congruent by ASA and AAS

3. Postulate 21: Angle-Side-Angle (ASA)
If two angles and the included side of one triangle are congruent to two angles and the included side of a second triangle, then the two triangles are congruent.
Example: because of ASA.
P L
Q R M N

4. Theorem 4.6: Angle-Angle-Side (AAS)
If two angles and a non-included side of one triangle are congruent to two angles and a non-included side of a second triangle, then the two triangles are congruent.
Example: because of AAS.
P L
Q R M N

5. Triangles are congruent when you have…
SSS AAS
SAS ASA HL

6. Triangles are not congruent when you have…
ASS AAA

7. Review from old chapters
Bisector: Cuts the segment or angle into two congruent pieces.
Midpoint of a segment: Cuts the segment into two congruent pieces.
Perpendicular lines: Two lines that intersect at a right angle (90 degrees).
Vertical angles: Angles “across” from each other- they are congruent to each other.

8. Are the triangles congruent, if yes write a congruence statement and explain using SSS, SAS, ASA, AAS, HL .
1.)
B D
C is the midpoint of AE
A C E

9. Are the triangles congruent, if yes write a congruence statement and explain using SSS, SAS, ASA, AAS, HL .
2.)
P Q
R S

10. Are the triangles congruent, if yes write a congruence statement and explain using SSS, SAS, ASA, AAS, HL .
3.) I
K T E

11. Examples

12. Complete the Proof

13. Flow Proof Uses arrows to show the flow of a logical argument.
Each reason is written below the statement it justifies.

14. Write a Flow Proof

15. Homework
Textbook page
#4-20 evens