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Byju's Answer
Standard VII
Mathematics
Similar Figures
For Δ ABC ...
Question
For
Δ
A
B
C
&
Δ
P
Q
R
, if
m
∠
A
=
m
∠
R
and
m
∠
C
=
m
∠
Q
, then
A
B
C
↔
............. is a similarity.
A
RQP
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B
PQR
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C
RPQ
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D
QPR
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Solution
The correct option is
C
RPQ
For
Δ
A
B
C
&
Δ
P
Q
R
,
m
∠
A
=
m
∠
R
and
m
∠
C
=
m
∠
Q
So,
A
↔
R
and
C
↔
Q
This means that
B
↔
P
.
So, the
A
B
C
↔
R
P
Q
.
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0
Similar questions
Q.
For
△
A
B
C
and
△
P
Q
R
, if
m
∠
A
=
m
∠
R
and
m
∠
C
=
m
∠
Q
, then
A
B
C
⟷
_________ is a similarity.
Q.
Δ
A
B
C
Δ
P
Q
R
for the correspondence
A
B
C
↔
P
Q
R
. If the perimeter of
Δ
A
B
C
is
12
and the perimeter of
Δ
P
Q
R
is
20
, then
A
B
:
P
Q
=
______
Q.
If
Δ
A
B
C
and
Δ
P
Q
R
are congruent under the correspondence
A
B
C
↔
R
P
Q
, then the part of
Δ
A
B
C
that correspond to
P
Q
is:
Q.
If for acute angled
Δ
A
B
C
and
Δ
P
Q
R
are similar by
A
B
C
↔
P
Q
R
correspondance, then prove that
A
(
A
B
C
)
A
(
P
Q
R
)
=
A
B
2
P
Q
2
=
B
C
2
Q
R
2
=
A
C
2
P
R
2
Q.
∆ABC and ∆SML are congruent in the correspondence A ↔ S, B ↔ L and C ↔ M. Write the pairs of the congruent components of the two triangles using the symbols for congruence.
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