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If ∆ABC and ∆PQR are to be congruent, name one additional pair of corresponding parts. What criterion did you use?
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Given: âˆ†ABC and ∆PQR are congruent in the given figure.

To do: To name one additional pair of corresponding parts.

Solution:

In $\triangle ABC$ and $\triangle PQR$

$\angle B=\angle Q=90^{\circ}$

$\angle C=\angle R$      [Given]

$\overline{BC}=\overline{QR}$     [Given]

Therefore, $\triangle ABC\cong\triangle PQR$    [ASA congruence]

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Updated on: 10-Oct-2022

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