Question

select the proportion that relates the corresponding sides.
o a) (\frac{wx}{bc}=\frac{xy}{cd}=\frac{yz}{ad}=\frac{wz}{ab})
o b) (\frac{wx}{cd}=\frac{xy}{ad}=\frac{yz}{ab}=\frac{wz}{bc})
o c) (\frac{ab}{wx}=\frac{bc}{xy}=\frac{cd}{yz}=\frac{ad}{wz})
o d) (\frac{ad}{wx}=\frac{ab}{xy}=\frac{bc}{yz}=\frac{cd}{wz})

Explanation:

Step1: Recall the property of similar polygons

For similar polygons, the ratios of corresponding sides are equal.

Step2: Analyze each option

• Option A: \(\frac{WX}{BC}=\frac{XY}{CD}=\frac{YZ}{AD}=\frac{WZ}{AB}\) does not follow the corresponding side ratio rule.
• Option B: \(\frac{WX}{CD}=\frac{XY}{AD}=\frac{YZ}{AB}=\frac{WZ}{BC}\) does not follow the corresponding side ratio rule.
• Option C: \(\frac{WX}{AB}=\frac{XY}{BC}=\frac{YZ}{CD}=\frac{WZ}{AD}\) follows the rule of corresponding side ratios for similar polygons.
• Option D: \(\frac{WX}{AD}=\frac{XY}{AB}=\frac{YZ}{BC}=\frac{WZ}{CD}\) does not follow the corresponding side ratio rule.

Answer:

C. \(\frac{WX}{AB}=\frac{XY}{BC}=\frac{YZ}{CD}=\frac{WZ}{AD}\)