Question

polygon abcd is similar to polygon abcd. if the length of side ab is 2.1 units, what is the length of side ab?
select one answer
a 6.3
b 6
c 5
d 5.3
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copyright 2025 by illustrative math

Explanation:

Step1: Identify the scale factor

From the diagram, the corresponding sides \( AD = 2.8 \) and \( A'D' = 8.4 \). The scale factor \( k \) is \( \frac{A'D'}{AD}=\frac{8.4}{2.8} = 3 \).

Step2: Apply the scale factor to \( AB \)

Since the polygons are similar, the ratio of corresponding sides is equal to the scale factor. Given \( AB = 2.1 \), then \( A'B'=AB\times k = 2.1\times3 = 6.3 \).

Answer:

A. 6.3