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Question 3 • Mathematics II

Which statements justify that the dilation of triangle STU is an enlargement increasing its size by the magnitude of the scale factor? Choose two correct answers.

Answer
A
The value of the scale factor, 6 , is greater than 1 .
B
The triangle image is closer to the point of dilation than the pre-image.
C
The triangle pre-image is closer to the point of dilation than the image.
D
The value of the scale factor, 1 sixth , is between 0 and 1 .
E
The vertices of the pre-image are collinear with the vertices of the image.

Explanation

A dilation is an enlargement when its scale factor is greater than 1. Since the scale factor is 6, the image is larger, and its vertices are farther from the center of dilation than the corresponding pre-image vertices. This makes the pre-image closer to the point of dilation than the image, as stated in E.

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