Question

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

• A. $\overline{QR}$
• B. $\overline{PQ}$
• C. $\overline{OR}$
• D. $\overline{OP}$

Answer 1

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.

$$\begin{gathered} \mathrm{BCDE}\cong \mathrm{OPQR} \\ \Rightarrow \mathrm{BC}=\mathrm{OP} \\ \Rightarrow \mathrm{CD}=\mathrm{PQ} \\ \Rightarrow \mathrm{DE}=\mathrm{QR} \\ \Rightarrow \mathrm{BE}=\mathrm{OR} \end{gathered}$$

Hence, $\overline{DE}$ congruent to $\overline{QR}$.

Hence, option $A$ is the Correct answer.