Question

Is there a dilation that maps shape I onto shape II? If so, what is the scale factor and is it an enlargement or a reduction?

Answer 1

Scale factor 3 Enlargement

Explanation:

To get the corresponding coordinates of shape II, multiply the coordinates of shape I by 3. This is true for every set of coordinates. So, the scale factor is 3. Because the scale factor is 3, which is greater than 1, the dilation is an enlargement.

Answer 2

Enlargement.

Scale Factor: 3

Explanation:

Use points to find the enlargement. Typically, you will use all the points.

A(1 , 1) ⇒ A'(3 , 3)

B(2 , 1) ⇒ B'(6 , 3)

C(1 , 2) ⇒ C'(3 , 6)

D(2 , 2) ⇒ D'(6 , 6)

To find the scale factor, simply divide the Point' with the original Point. Use any number.

A'(3 , 3)/(A(1 , 1)) = 3

B'(6 , 3)/(B(2 , 1)) = 3

C'(3 , 6)/(C(1 , 2)) = 3

D'(6 , 6)/(D(2 , 2)) = 3

Your scale factor is 3.