Question

7.

K′L′M′N′ is a dilation image of KLMN. Which is the correct description of the dilation?


A) an enlargement with scale factor 1/2


B) an enlargement with scale factor 2


C) a reduction with scale factor 1/2


D) a reduction with scale factor 2

Answer 1

The correct answer is an enlargement of 2 

Answer 2

Answer: The answer is (B) an enlargement with scale factor 2.

Step-by-step explanation: The quadrilateral K'L'M'N' is the dilation image of the quadrilateral KLMN. We are to select the correct description of the dilation from given four options.

We can record from the given graph that in quadrilateral KLMN, the length of one side is

KN = 1.5 units,

and in quadrilateral K'L'M'N', the length of the corresponding side is

K'N' = 3 units.

Therefore, the scale factor will be

`S=(K'N')/(KN)=(3)/(1.5)=2>0.`

So, there will be an enlargement with a scale factor 2.

Thus, (B) is the correct option.