In the figure below, ¯¯¯¯¯¯¯¯¯
A
D
is perpendicular to
¯¯¯¯¯¯¯¯¯¯
B
D

,
¯¯¯¯¯¯¯¯
A
C
is perpendicular to
¯¯¯¯¯¯¯¯
B
C
and
¯¯¯¯¯¯¯¯¯
A
D
≅
¯¯¯¯¯¯¯¯
B
C
. Which of the following congruences is NOT necessarily true?

¯¯¯¯¯¯¯¯
A
C

≅

¯¯¯¯¯¯¯¯¯
B
D
¯¯¯¯¯¯¯¯
A
C

≅

¯¯¯¯¯¯¯¯¯
B
D

¯¯¯¯¯¯¯¯¯
A
D
≅
¯¯¯¯¯¯¯¯
A
E
line segment cap A cap d is congruent to line segment cap A cap e

¯¯¯¯¯¯¯¯
A
E

≅

¯¯¯¯¯¯¯¯
B
E
¯¯¯¯¯¯¯¯
A
E

≅

¯¯¯¯¯¯¯¯
B
E

∠

D
A
B

≅

∠

C
B
A
∠

D
A
B

≅

∠

C
B
A

∠

E
A
B

≅

∠

E
B
A
∠

E
A
B

≅

∠

E
B
A