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In and , it is given that and . Which of the following additional equalities will be…
MATHEMATICS · Single correct · CBSE · Mathematics · Triangles · Triangles
Problem
In
△
P
Q
R
\triangle PQR
△
P
QR
and
△
X
Y
Z
\triangle XYZ
△
X
Y
Z
, it is given that
∠
P
=
∠
X
\angle P = \angle X
∠
P
=
∠
X
and
∠
R
=
∠
Z
\angle R = \angle Z
∠
R
=
∠
Z
. Which of the following additional equalities will be sufficient to prove the two triangles congruent by the ASA criterion? (a)
Q
R
=
X
Z
QR = XZ
QR
=
X
Z
(b)
P
R
=
X
Z
PR = XZ
P
R
=
X
Z
(c)
P
Q
=
X
Y
PQ = XY
P
Q
=
X
Y
(d)
Q
R
=
Y
Z
QR = YZ
QR
=
Y
Z
Related theory
Triangle Congruence
Triangle Congruence Criteria
Triangles
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