Question

Quadrilateral DEFG is similar to quadrilateral HIJK. Find the measure of side IJ.

Figures are not drawn to scale.
D
E
6
F
H
23.6
I
J

Answer 1

23.6 units.

Explanation:

Since quadrilateral DEFG is similar to quadrilateral HIJK, the ratios of corresponding sides are equal. We can use this information to find the measure of IJ.

We know that:

DF/HJ = EF/IJ = 6/23.6 = 2/8 = 1/4

So we can set up the proportion:

IJ/EF = HJ/DF

IJ/6 = 23.6/6

IJ = 23.6/6 * 6 = 23.6