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