Question

2. Quadrilateral PQRS with P(-5,1). Q(-2,6), R(3, 7), and S(6, 4); dilate by a scale factor of 4 12 0. Is this an enlargement or reduction? How do you know? 14 b. What are the vertices of the image after the transformation?

Answer 1

Enlargement since k > 1

P'(-20, 4)

Q'(-8, 24)

R'(12, 28)

S'(24, 16)

1) Since the Quadrilateral PQRS has been enlarged by a scale factor greater than 1, in this case, 4. Then we can state that this was an enlargement

2) To find out the vertices of that image, since no other information has been given we assume that dilation was centered at the origin. Therefore, we can write:

Pre-image Scale Factor Image

P(-5,1) k=4 P'(-20, 4)

Q(-2,6) Q'(-8, 24)

R(3, 7) R'(12, 28)

S(6, 4) S'(24, 16)

3) Hence the answers are:

Enlargement since k > 1

P'(-20, 4)

Q'(-8, 24)

R'(12, 28)

S'(24, 16)