In the adjoining figure, $ P Q=R S $ and $ Q R= $ SP. Find the third pair of corresponding parts that makes $ \Delta P Q R \cong \Delta $ PSR."

Given:

$PQ=RS$ and $QR=SP$

To do:

We have to find the third pair of corresponding parts that makes \( \Delta P Q R \cong \Delta \) PSR.

Solution:

In the above figure,

$PQ=RS$      (given)

$QR=SP$      (given)

$PR =PR$ (common side)

Therefore,

\( \Delta P Q R \cong \Delta \) PSR      (By SSS congruency)

The third pair of corresponding parts that makes \( \Delta P Q R \cong \Delta \) PSR is $PR=PR$.

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Updated on: 10-Oct-2022

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