Question

Dilation D Subscript V, two-fifths was performed on a rectangle. How does the image relate to the pre-image? Select three options.

The image is a reduction because 0 < n < 1.
The side lengths of the image are two-fifths the size of the corresponding side lengths of the pre-image.
The angles of the image are two-fifths the size of the angles of the pre-image.
The center of dilation is at point Q.
The base of the image is two-fifths the size of the base of the pre-image.

Answer 1

The correct option about the Dilation are:

1. The image is a reduction because 0 < n < 1

2. The side lengths of the image are two-fifths the size of the corresponding side lengths of the pre-image.

5. The base of the image is two-fifths the size of the base of the pre-image.

How to convey the information?

Dilation 2/5  was done on a rectangle, and the center of dilation is V

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 the 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) the same explanation of option 2

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