Question

Two quadrilaterals are congruent. Which side in quadrilateral WXYZ corresponds to BC in quadrilateral ABCD?

Answer 1

Hint:In this question we have been given that both the quadrilaterals are congruent which means that the sides and angles are equal to the corresponding sides and angles of another quadrilateral. We will compare the side BC with one arc and three arcs of one quadrilateral to the WXYZ quadrilateral and then we get the answer.

Complete step by step answer:
Now from the quadrilateral ABCD, we can see that the side $BC$ has one arc and three arcs on each of its sides. So it faces the angle between them. Now in quadrilateral $WXYZ$ ,
We also have to get the side with one arc and three arcs on each of its sides.So by comparing the quadrilateral $ABCD$ with quadrilateral $WXYZ$ , we can see that the side $XY$ also faces the angle which is marked with one arc and three arcs. Therefore we can say that $XY$ corresponds to $BC$.

Hence the correct option is C.

Note:We should note that two quadrilaterals are said to be congruent when their four corresponding sides and four corresponding interior angles are equal. So there is a total of $8$ congruence in quadrilaterals. So symbolically, we can write the above congruent quadrilaterals as $quad(ABCD) \cong quad(WXYZ)$ .