Dilations & Figures Quick Check
4 of 54 of 5 Items
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)
1.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′(−49,59), B′(−19,0), and C′(−13,−13).
2.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).
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′(5,14), B′(8,9), and C′(6,6).
4.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).
The correct answer is:
4. 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).
The correct answer is:
1. 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′(−49,59), B′(−19,0), and C′(−13,−13).