Answer:
(a) Reduction
(b) scale factor = 1/2
Step-by-step explanation:
(a) A reduction is a dilation that creates a smaller image.
As A'B'C'D' is smaller than ABCD, image A'B'C'D' is a reduction of image ABCD.
(b) To find the scale factor:
- find the center of dilation by connecting the corresponding points from the original and dilated image and finding where these lines intersect (see attached image)
- measure from the center of dilation to a point on the original image.
- measure from the center of dilation to the corresponding point on the dilated image.
- Divide the distance to the dilated image by the distance to the original image.
center of dilation = (0, 0)
(0, 0) to point C = 4 units
(0, 0) to point C' = 2 units
⇒ scale factor = 2/4 = 1/2
