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Questions  >>  Olympiad-Math  >>  Class 10
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Q)

In $\Delta ABC$ and $\Delta PQR, \angle B, \Delta ABC,$ and $\Delta PQR, \angle B = \angle Q, \angle R=\angle C$ and $AB=\angle Q,\angle R= \angle C$ and $AB =2QR$.Then,thetrianglesare

$\begin{array}{1 1} \text{neither congruent nor similar} \\ \text{congruent as well as similar} \\ \text{congruent but not similar.} \\ \text{similar but not congruent.} \end{array} $

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A)
Solution :
In $\Delta ABC$ and $\Delta PQR , \angle B$
$\qquad = \angle Q, \angle R= \angle C$ and $AB$
$\qquad= 2QR$
Then,the triangles are
similar but not congruent because for congruency, sides should also be equal.
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