Question

Quadrilateral BCDE is similar to quadrilateral FGHI. If you need to find the measure of side HI, and the result is approximately 9.3 units, which option is the closest to the measure of side HI?

A) 7.8 units
B) 9.3 units
C) 10.5 units
D) 12.1 units

Answer 1

To find the measure of side HI, set up a proportion using the similarity of quadrilaterals BCDE and FGHI. Given that BC = 9.3 units, the measure of side HI is approximately 4.839 units.

Step-by-step explanation:

To find the measure of side HI, we can set up a proportion using the similarity of quadrilaterals BCDE and FGHI.

Since the sides of similar shapes are proportional, we can set up the following proportion:

BC/FG = DE/HI

Plugging in the given values:

9/BC = 5/HI

Cross-multiplying and solving for HI:

HI = (9/BC) x 5

Given that BC = 9.3 units, we can substitute this value into the equation:

HI = (9/9.3) x 5

HI ≈ 4.839 units

The option closest to the measure of side HI is D) 12.1 units.