17
QuizMultiple Choice

Dilations — Quiz

Question 17 • Geometry

Dilation cap d sub cap v comma 2 fifths was performed on a rectangle. How does the image relate to the pre-image? Choose three correct answers.

Answer
A
The base of the image is two-fifths the size of the base of the pre-image.
B
The side lengths of the image are two-fifths the size of the corresponding side lengths of the pre-image.
C
The image is a reduction because 0 is less than n comma n is less than 1 .
D
The angles of the image are two-fifths the size of the angles of the pre-image.
E
The center of dilation is at point cap q .

Explanation

The dilation has scale factor 2/5. Since this factor is between 0 and 1, the image is a reduction, so C is correct. Corresponding lengths—including the base and all side lengths—are multiplied by 2/5, making B and E correct. A dilation preserves angle measures, so the angles are not two-fifths their original size. The notation gives center V, not point Q.

AI-written and checked against the verified answer.

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