Question

Quadrilateral A’B’C’D’ is a dilation of quadrilateral ABCD about point P with a scale factor of 2 1/2 .

A. Enlargement

B. reduction

Answer 1

a it says can you tell me why??

Answer 2

A. Enlargement

Explanation:

We are given that,

Quadrilateral ABCD is dilated by a scale factor of
`2(1)/(2)=(5)/(2)`.

Now, we know that,

Dilation changes the size of the figure by the scale factor 'k'.

If 'k' > 1, then the dilated figure is enlarged in size.

If 0 < 'k' < 1, then the dilated figure is reduced in size.

Since, the given scale factor is
`(5)/(2)=2.5>1`.

So, the quadrilateral ABCD is enlarged in size.

Hence, option A is correct.