Quadrilaterals WXYZ and BADC are congruent. In addition, line segment WX is congruent to line segment DC and line segment XY is congruent to line segment BC If AD is equal to 4 cm and AB is equal to 6 cm, what is the perimeter of WXYZ ?

Because WXYZ and BADC are congruent in the order given, WX corresponds to BA and XY corresponds to AD. So WX = 6 cm and XY = 4 cm. The given equalities then show that the other two sides of WXYZ are also 6 cm and 4 cm, giving a perimeter of 6 + 4 + 6 + 4 = 20 cm. The correct choice is 20 cm.

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