If BCDE is congruent to OPQR, then DEis congruent to _______. Explain.
If BCDE is congruent to OPQR, then DE is congruent to QR.
This is because congruence implies that all corresponding sides and angles of the two shapes are equal. Since BCDE is congruent to OPQR, we know that BC is equal to OP, CD is equal to OQ, DE is equal to QR, and the angles between these sides are equal.
Therefore, if BCDE is congruent to OPQR, then DE is congruent to QR.
If BCDE is congruent to OPQR, it means that these two figures have the same size and shape. In congruent figures, corresponding sides and angles are equal.
So, if BCDE is congruent to OPQR, it implies that their corresponding sides are equal. Therefore, if we have BCDE and OPQR, we can conclude that:
DE is congruent to QR.
This is because DE and QR are corresponding sides of the congruent figures BCDE and OPQR, respectively.