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

AEnlargement

Breduction

Verified Answer :

a it says can you tell me why??

Answer:

A. Enlargement

Step-by-step explanation:

We are given that,

Quadrilateral ABCD is dilated by a scale factor of \(2\frac{1}{2}=\frac{5}{2}\).

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 \(\frac{5}{2}=2.5>1\).

So, the quadrilateral ABCD is enlarged in size.

Hence, option A is correct.