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Triangle Congruence and Inequalities 1
A
B
C
D
E
F
G
Result
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Identify the missing statements or reasons that will complete the two-column proof. Type the letter of your answer in each blank.

Given: Points A, B, D, and E are collinear.
∠ABC≅∠CDE
Prove: ΔBCD is an isosceles triangle.
Choices:
a. Vertical Angles Theorem
b. Definition of linear pair
c. Linear Pair Postulate
d. Definition of isosceles triangle
e. ∠CBD≅∠CDB
f. CB ¯ ≅ CD ¯
g. m∠ABC=m∠CDE
h. SSS Congruence Postulate

Proof:
Statements Reasons
1.
Points A, B, D, and E are collinear.
∠ABC≅∠CDE
1. Given
2.
∠ABC and ∠CBD form a linear pair.
∠CDE and ∠CDB form a linear pair.
2.
3.
∠ABC and ∠CBD are supplementary.
∠CDE and ∠CDB are supplementary.
3.
4.
4. Supplement Theorem
5.
5. Converse of the Isosceles Triangle Theorem
6.
ΔBCD is an isosceles triangle.
6.
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