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