Question

tom used a photocopier to dilate the design for a monorail track system. the figure shows the design and its photocopy: the ratio of bc:fg is 1:2. what is the length, in meters, of side eh on the photocopied image? 7 14 17 34

Explanation:

Step1: Identify corresponding sides

The two figures are similar due to dilation. Side AB in the original figure corresponds to side FE in the photocopied image.

Step2: Use the dilation ratio

Since the ratio of corresponding - sides in similar figures is the same. Given the ratio of BC:FG is 1:2, all corresponding sides have this ratio. AB = 17m, and EH corresponds to AD. Since the dilation ratio is 2 (because FG is twice of BC), and AD = 7m, then EH = 2×7m.

Answer:

14