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In , the side lengths are , and . Another triangle has side lengths , and . Which…
MATHEMATICS · Single correct · CBSE · Mathematics · Triangles · Triangles
Problem
In
△
P
Q
R
\triangle PQR
△
P
QR
, the side lengths are
P
Q
=
5
cm
PQ=5\,\text{cm}
P
Q
=
5
cm
,
Q
R
=
6
cm
QR=6\,\text{cm}
QR
=
6
cm
and
R
P
=
7
cm
RP=7\,\text{cm}
R
P
=
7
cm
. Another triangle
△
X
Y
Z
\triangle XYZ
△
X
Y
Z
has side lengths
X
Y
=
6
cm
XY=6\,\text{cm}
X
Y
=
6
cm
,
Y
Z
=
7
cm
YZ=7\,\text{cm}
Y
Z
=
7
cm
and
Z
X
=
5
cm
ZX=5\,\text{cm}
Z
X
=
5
cm
. Which congruence criterion can confirm that
△
P
Q
R
≅
△
X
Y
Z
\triangle PQR \cong \triangle XYZ
△
P
QR
≅
△
X
Y
Z
? (a)
SAS
\text{SAS}
SAS
(b)
SSS
\text{SSS}
SSS
(c)
RHS
\text{RHS}
RHS
(d)
SSA
\text{SSA}
SSA
Related theory
Triangle Congruence
Triangle Congruence Criteria
Triangles
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