Quadrilateral ABCD is similar to Quadrilateral EFGH. The scale factor is 3:2. If AB = 18, find EF.

Question

asked Apr 11, 2017 156k views

2 Answers

Hamid Rasti · Answer 1 · 2017-04-16T13:44:30+0000

Answer: EF = 12 units

Explanation:

Given : Quadrilateral ABCD is similar to Quadrilateral EFGH.

The scale factor is 3:2.

We know that the scale factor is the ratio of the corresponding sides of two similar figures.

So if Quadrilateral ABCD is similar to Quadrilateral EFGH, the side AB corresponds to side EF.

If AB = 18, then we have the following equation:-

$(AB)/(EF)=(3)/(2)\\\\\Rightarrow(18)/(EF)=(3)/(2)\\\\\Rightarrow\ EF=(2*18)/(3)\\\\\Rightarrow\ EF=12$