Review

Name the triangles that are congruent by the markings on the diagrams and which method should be used to prove it. If it is not possible to prove with the information write not possible.

1. 2.

method method

DABD@DDCA –SAS DJMN@DKML -ASA

3. 4.

method method

not possible not possible

5. 6.

method method

ÐA=ÐA DFHG@DFKG –SSS

\DAFC@DAED -ASA

7. What do the letters CPCTC stand for?

Corresponding parts of congruent triangles are congruent

Prove the following.

8. Given:

Prove:

1 1.

2. 2.

3. 3.

4. 4.

5. 5.

6. 6.

7. 7.

8. 8.

9. 9.

10. 10.

9. Given:

Prove:

1. <1 and <2 are compl to <FPE 1. Given

2. 2. CCAC

3. AB=CD 3. Given

4. AC=BD 4. Addition Property

5. PB= PC 5. Given

6. P is the midpt of EB and CF 6. Given

7. 7. Multiplication

8. 8. SAS Postulate

9. AF = DE 9. CPCTC

10. Given:

Prove:

1. CD is a median of BCE 1. Given

2. D is midpt of EB 2. Def. of median

3. ED =DB 3. Def. of midpt

4. D is midpt of AC 4. Given

5. DC=AD 5. Def. of midpt

6. ÐCDE=ÐADB 6. Vert. <s are congruent

7. 7. SAS

11. Prove the Vertical Angle Theorem

If two angles are vertical then they are congruent.

See notes for proof.