Question

What is the similarity ratio of HIJK to DGFE?

Answer 1

5:1

Explanation:

First, we take a look at the rectangle DGFE.

The length of the rectangle, GF, has a length of 2. The width of the rectangle, FE, has a length of 1. Therefore,

`\text{length}:\text{width} = GF:FE = 2:1.`

Now, we take a look at the rectangle HIJK.

The length of the rectangle, KH, is 10. The width, JK, is given as 5. Therefore,
`\text{length}:\text{width} = KH:JK = 2:1.`

In addition, since all of the angles in both rectangles are right angles, it is safe to say that these rectangles are similar rectangles.

Now, comparing the width of HIJK to the width of DGFE, we find
`JK:FE = 5:1.`

Comparing the length of both rectangles yields the same result:
`KH:GF = 5:1.`

Therefore, the similarity ratio of HIJK and DGFE is 5:1.