1. Chapter 4: Congruent Triangles
Lesson 4 and 5: Proving Congruence- SSS, SAS, ASA, AAS, and HL

2. SSS
Side-Side-Side
If all three sets of corresponding sides are congruent, the triangles are congruent A M B C N O
ABC MNO

3. SAS
Side-Angle-Side
If two corresponding sides and the included angles of two triangles are congruent, then the triangles are congruent
* The included angle is the angle between the congruent sides X F Y Z G H
XYZ FGH

4. ASA
Angle-Side-Angle
If two sets of corresponding angles and the included sides are congruent, then the triangles are congruent
* The included side is the side between the two congruent angles J R L K T S
JKL RST

5. AAS
Angle-Angle-Side
If two sets of corresponding angles and one of the corresponding non-included sides are congruent, then the triangles are congruent T E G F V U
EFG
TUV

6. HL
Hypotenuse-Leg
If the hypotenuse and one set of corresponding legs of two right triangles are congruent, then the triangles are congruent C R D H A M
CDH
RAM

7. Determine if the triangles are congruent
Determine if the triangles are congruent. If they are, write the congruence statement.

8. Determine if the triangles are congruent
Determine if the triangles are congruent. If they are, write the congruence statement.

9. Determine which postulate can be used to prove that the triangles are congruent. If it is not possible to prove congruence, choose not possible.

10. Given: AC  AB D is the midpoint of BC. Prove: ΔADC  ΔADB
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11. Determine whether ΔABC  ΔDEF for A(–5, 5), B(0, 3), C(–4, 1), D(6, –3), E(1, –1), and F(5, 1).

12. Day #2- with a partner
Write a two column proof.