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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.

Given:   ∠E≅∠H
EA ¯ ≅ CH ¯
Prove:   ∠TAC≅∠TCA
Choices:
a. Isosceles Triangle Theorem
b. CPCTC
c. TA ___ ≅ TC ¯
d. Definition of midpoint
e. Alternate Interior Angles Theorem
f. Converse of the Isosceles Triangle Theorem
g. SAS Congruence Postulate
h. ∠TAC≅∠TCA
i. ∠CAT≅∠TAC

Proof:
Statements Reasons
1.
∠E≅∠H
EA ¯ ≅ CH ¯
1. Given
2.
ET ¯ ≅ TH ¯
2.
3.
ΔTEA≅ΔTHC
3.
4.
4. CPCTC
5.
5.
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