Advanced Geometry



Geometry Pre AP CPCTC Proofs Worksheet I

CPCTC: Corresponding Parts of Congruent Triangles are Congruent

Use one of the congruence theorems we have studied (SSS, SAS, AAS, ASA) to prove that the triangle are congruent. Then use CPCTC to help draw further conclusions. Your answers should be in two-column proof format.

1.

2.

3.

4.

5.

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Given: [pic]

D is the midpoint of [pic]

Prove: [pic]

B

C

A

D

Given: [pic]

K is the midpoint of [pic]

Prove: [pic]

E

G

K

P

M

Given: [pic]

[pic]

Prove: [pic]

R

T

Q

W

A

B

C

D

1

2

3

4

Given: [pic]

[pic]

Prove: [pic] bisects [pic]

E

G

H

K

M

Given: H is the midpoint of[pic]

H is the midpoint of [pic]

Prove: [pic]

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