Question

Angle ABC
contains the points A(−4,5)
, B(−1,0)
, and C(−3,−3)
. Describe the effect of the dilation of the angle with a scale factor of 9 and a center point of dilation at the origin (0,0)
.(1 point)

After dilation, the angle is nine times farther from the point of dilation. The angle measurement remains the same. Corresponding lines (rays) are parallel between the angle and the dilated angle. The resulting points are A′(5,14)
, B′(8,9)
, and C′(6,6)
.

After dilation, the angle is nine times closer to the point of dilation. The angle measurement remains the same. Corresponding lines (rays) are parallel between the angle and the dilated angle. The resulting points are A′(−36,45)
, B′(−9,0)
, and C′(−27,−27)
.

After dilation, the angle is nine times closer to the point of dilation. The angle measurement remains the same. Corresponding lines (rays) are parallel between the angle and the dilated angle. The resulting points are A′(−4/9,5/9)
, B′(−1/9,0)
, and C′(−1/3,−1/3)
.

After dilation, the angle is nine times farther from the point of dilation. The angle measurement remains the same. Corresponding lines (rays) are parallel between the angle and the dilated angle. The resulting points are A′(−36,45)
, B′(−9,0)
, and C′(−27,−27)
.

Answer 1

The correct choice is the last one.

A dilation centered at (0,0) with scale factor 9 multiplies each coordinate by 9, so points move nine times farther from the origin, angle measure is unchanged, rays remain parallel. The images are A′(−36,45), B′(−9,0), C′(−27,−27).