Answer:
The selected options: 1 , 2 and 5
Step-by-step explanation:
Dilation 2/5 was done on a rectangle, and the center of dilation is V
We will check which of the options is true:
Option 1: The image is a reduction because 0 < n < 1 (True)
Because 2/5 = 0.4 < 1, so, the image will be smaller than the pre-image.
Option 2: The side lengths of the image are two-fifths the size of the corresponding side lengths of the pre-image. (True)
Because pre-image and image are similar so their sides will be proportional, so the pre-image is 2/5 of the image.
Option 3: The angles of the image are two-fifths the size of the angles of the pre-image. (Wrong)
Because the angles of similar rectangles are congruent not proportional.
Option 4: The center of dilation is at point Q. (Wrong)
Because the center of dilation is V.
Option 5: The base of the image is two-fifths the size of the base of the pre-image. (True) same explanation of option 2
