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Quadrilateral has diagonal
MATHEMATICS · Single correct · CBSE · Mathematics · Triangles · Triangles
Problem
Quadrilateral
P
Q
R
S
PQRS
P
QR
S
has diagonal
P
R
PR
P
R
. It is known that
∠
Q
P
R
=
∠
S
R
P
\angle QPR = \angle SRP
∠
QP
R
=
∠
S
R
P
and
∠
Q
R
P
=
∠
S
P
R
\angle QRP = \angle SPR
∠
QR
P
=
∠
S
P
R
. Which of the following can be concluded? (a)
Q
R
=
R
S
QR = RS
QR
=
R
S
(b)
P
Q
=
R
S
PQ = RS
P
Q
=
R
S
(c)
P
Q
=
Q
R
PQ = QR
P
Q
=
QR
(d)
P
Q
=
P
R
PQ = PR
P
Q
=
P
R
Related theory
Similarity
Triangle similarity conditions
Criteria for similarity (AAA SSS SAS)
Triangles
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