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Byju's Answer
Standard VIII
Mathematics
Deducing Congruent Parts of Congruent Triangles
nbsp;In the g...
Question
In the given figure, If AB = AC, then
△
A
B
D
≅
△
A
C
D
by ____ criteria.
A
ASA
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B
SSS
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C
RHS
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D
SAS
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Solution
The correct option is
C
RHS
In
△
A
B
D
and
△
A
C
D
∠
A
D
B
=
∠
A
D
C
=
90
∘
....(Given)
AB = AC ..... (Given)
DA = DA ..... (Common side)
So, by RHS criteria for congruency of triangles,
△
A
B
D
≅
△
A
C
D
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Q.
In the given figure, AB = AC and DB = DC, find the ratio ∠ABD : ∠ACD.