Question

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

Answer 1

Explanation:

Vertex of Shape I : (1,1) (2,1) (2,2) (1,2) ---- (x,y)

Vertex of Shape II : (3,3) (6,3) (6,6) (3,6) ---(x',y') : (x*3 , y*3)

Vertex of Shape III : (2,2) (4,2) (4,4) (2,4) --- (x'',y'') -> (x' , y') : (x''*1.5 , y''*1.5)

Shape I dilate on to Shape II: Enlargement with scale factor of 3

dilation the Maps shape lll onto shape ll : Enlargement with scale factor of 1.5

Answer 2

Step-by-step explanation: sample answer

A dilation will map shape III onto shape II. The bottom left coordinate of shape III is (2, 2) and the bottom left coordinate of shape II is (3, 3). So, to get the corresponding coordinates of shape II, multiply the coordinates of shape III by 2/3 . This is true for every set of coordinates. So, the scale factor is 3/2. The scale factor is greater than 1, so the dilation is an enlargement.