Dilations & Figures Quick Check
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Question
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"The x-axis of a coordinate plane ranges from negative 11 to 12 and the y-axis ranges from negative 5 to 12, both in 1-unit increments. Three points are plotted, one of which serves as the origin for two rays. The points are labeled upper A, upper B, and upper C. Upper A is located at left parenthesis 5 comma 4 right parenthesis. Upper B is located at left parenthesis negative 2 comma 2 right parenthesis. Upper C is located at left parenthesis 2 comma negative 3 right parenthesis.
Describe the effect of the dilation of the angle ABC with a scale factor of 5 and a center point of dilation at the origin (0,0).
(1 point)
1.After dilation, the angle is five 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′(25,20), B′(−10,10), and C′(10,−15).
2.After dilation, the angle is five 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′(1,45), B′(−25,25), and C′(25,−35).
3.After dilation, the angle is five 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′(25,20), B′(−10,10), and C′(10,−15).
4.After dilation, the angle is five 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′(10,9), B′(3,7), and C′(7,2).
The correct answer is:
3. After dilation, the angle is five 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′(25,20), B′(−10,10), and C′(10,−15).
The correct answer is option 3:
After dilation, the angle is five 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′(25,20), B′(−10,10), and C′(10,−15).