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Question

# If $BCDE$ is congruent to $OPQR$, then $DE$ is congruent to _____.

A

$\overline{)QR}$

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B

$\overline{)PQ}$

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C

$\overline{)OR}$

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D

$\overline{)OP}$

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Solution

## The correct option is A $\overline{)QR}$Explanation for the correct option:From the Question, get that $BCDE$ is congruent to $OPQR$If one figure is congruent with another, then they are in equal size and equal shape.Thus, the corresponding angle and sides must be equal.$\mathrm{BCDE}\cong \mathrm{OPQR}\phantom{\rule{0ex}{0ex}}⇒\mathrm{BC}=\mathrm{OP}\phantom{\rule{0ex}{0ex}}⇒\mathrm{CD}=\mathrm{PQ}\phantom{\rule{0ex}{0ex}}⇒\mathrm{DE}=\mathrm{QR}\phantom{\rule{0ex}{0ex}}⇒\mathrm{BE}=\mathrm{OR}$Hence, $\overline{)DE}$ congruent to $\overline{)QR}$.Hence, option $A$ is the Correct answer.

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