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Byju's Answer
Standard VIII
Mathematics
Deducing Congruent Parts of Congruent Triangles
In the follow...
Question
In the following diagram;
A
D
=
A
B
and
A
E
bisects angle
A
. Hence,
B
E
=
D
E
.
State true or false:
A
True
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B
False
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Solution
The correct option is
A
True
In
△
A
B
E
a
n
d
△
A
E
D
A
E
is common,
∠
B
A
E
=
∠
E
A
D
A
B
=
A
D
So, by side angle side congruency theorem,
△
A
B
E
a
n
d
△
A
E
D
the triangles are congruent.
So,
B
E
=
E
D
Suggest Corrections
0
Similar questions
Q.
In the following diagram;
A
D
=
A
B
and
A
E
bisects angle
A
. Hence,
∠
A
B
D
>
∠
C
.
If true enter 1 else 0
Q.
In the given figure, ray AE bisects exterior
∠
C
A
D
and ray AE is parallel to side BC. Hence,
A
B
=
A
C
.
State whether the above statement is true or false.
Q.
In the given diagram, AD = AB and AE bisects
∠
A
, then
BE = DE.
If the above statement is true then mention answer as 1, else mention 0 if false.
Q.
State true or false:
In
△
A
B
C
,
D
,
E
and
F
are mid-points of sides
A
B
,
B
C
and
A
C
respectively. Hence
A
E
and
D
F
bisect each other
Q.
In parallelogram
A
B
C
D
,
E
is the mid-point of side
A
B
and
C
E
bisects angle
B
C
D
. Prove that
:
(
I
)
A
E
=
A
D
(
I
I
)
D
E
bisects
∠
A
D
C
and
(
I
I
I
)
∠
D
E
C
is a right angle.
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