Question

trapezoid bcde is dilated by a scale factor of 4 to form trapezoid bcde. side bc measures 20. what is the measure of side bc?

Explanation:

Step1: Recall dilation property

When a figure is dilated by a scale factor \( k \), the length of each side of the image is \( k \) times the length of the corresponding side of the original figure. Here, the scale factor \( k = 4 \), and the original side length \( BC = 20 \).

Step2: Calculate the length of \( B'C' \)

Using the formula for dilation, the length of \( B'C' \) is the scale factor multiplied by the length of \( BC \). So, \( B'C'=4\times BC \). Substituting \( BC = 20 \), we get \( B'C' = 4\times20 = 80 \).

Answer:

80