Loading...
Triangle Congruence 3
A
B
C
D
E
F
G
H
Result
. . . .

Complete the two-column proof. Identify the missing statement or reason. Type the letter of your answer in each blank.

In the figure, AB __ ∥ CD ¯ . Prove that ∠C≅∠B.

Choices:
a. ∠BAD≅∠CDA
b. ΔCAD≅ΔBDA
c. ΔDAC≅ΔDAB
d. AD ¯ ≅ AD ¯
e. ∠BDA≅∠ACD
f. SSA Congruence Postulate
g. Alternate Interior Angles Theorem
h. SSS Congruence Postulate
i. ASA Congruence Postulate
j. CPCTC

Proof:
Statements Reasons
1.
AB __ ∥ CD ¯
1. Given
2.
∠CAD≅∠BDA
∠BAD≅∠CDA
2.
3.
3. Reflexive Property of Segment Congruence
4.
4.
5.
∠C≅∠B
5.
0
/ 5