10
QuizMultiple Choice

Congruent Figures

Question 10 • AZ-Geometry A (MA201)

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

Answer
A
18 cm
B
20 cm
C
22 cm
D
24 cm

Explanation

The congruence order WXYZ ≅ BADC matches W with B, X with A, Y with D, and Z with C. So WX = AB = 6 cm and XY = AD = 4 cm. The extra information gives YZ = WX = 6 cm and ZW = XY = 4 cm, so the perimeter is 6 + 4 + 6 + 4 = 20 cm. The correct choice is 20 cm.

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