In triangles ABC and PQR three equality relation between some par… - Vidyadip

MCQ

In triangles $\text{ABC}$ and $\text{PQR}$ three equality relation between some parts are as follows : $\text{AB}=\text{QP},\angle\text{B}=\angle\text{P}$ and $\text {BC}=\text{PR}$ State which of the congruence conditions applies:

✓
$\text{SAS}$
B
$\text{ASA}$
C
$\text{SSS}$
D
$\text{RHS}$

✓

Answer

Correct option: A.

$\text{SAS}$

From given conditions, we have
$\text{AB}=\text{PQ}$
$\text{BC}=\text{PR}$
And the angle between these sides are also equal
i.e. $\angle\text{B}=\angle\text{P}$
So $\text{SAS}$ property.
Hence, correct option is $(a)$.

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