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Mathematics
Mathematics
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
,
∠
R
=
∠
Z
\angle R = \angle Z
∠
R
=
∠
Z
and
Q
R
=
X
Z
QR = XZ
QR
=
X
Z
. Will these data alone guarantee that the two triangles are congruent? Give a brief reason naming the congruence criterion, if any.
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