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.

Given:   AT __ is the perpendicular bisector of MH ¯ .
Prove:   AT __ bisects ∠MAH.
Choices:
a. LL Congruence Theorem
b. SSA Congruence Postulate
c. ΔATM≅ΔATH
d. Reflexive Property of Segment Congruence
e. ∠MAT≅∠HAT
f. Angle Addition Postulate
g. LA Congruence Theorem
h. CPCTC
i. Definition of angle bisector
j. Definition of perpendicular bisector

Proof:
Statements Reasons
1.
AT __ is the perpendicular bisector of MH ¯ .
1. Given
2.
MT ¯ ≅ TH ¯
∠ATM≅∠ATH are right angles.
2.
3.
AT __ ≅ AT __
3.
4.
4. LL Congruence Theorem
5.
5. CPCTC
6.
AT __ bisects ∠MAH.
6.
0
/ 5