A triangle is dilated by a scale factor of 3 with the center of dilation at the origin. Which statement is true? 1) The area of the image is nine times the area of the original triangle. 2) The perimeter of the image is nine times the perimeter of the original triangle. 3) The slope of any side of the image is three times the slope of the corresponding side of the original triangle. 4) The measure of each angle in the image is three times the measure of the corresponding angle of the original triangle.

Elementary Geometry For College Students, 7e
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ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter7: Locus And Concurrence
Section7.1: Locus Of Points
Problem 47E: In Exercises 39 and 42, refer to the line segments shown. Use the following theorem to construct a...
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3. A triangle is dilated by a scale factor of 3 with the center of dilation at the origin. Which statement is true?
1) The area of the image is nine times the area of
the original triangle.
2) The perimeter of the image is nine times the
perimeter of the original triangle.
3) The slope of any side of the image is three times
the slope of the corresponding side of the
original triangle.
4) The measure of each angle in the image is three
times the measure of the corresponding angle
of the original triangle.
Transcribed Image Text:3. A triangle is dilated by a scale factor of 3 with the center of dilation at the origin. Which statement is true? 1) The area of the image is nine times the area of the original triangle. 2) The perimeter of the image is nine times the perimeter of the original triangle. 3) The slope of any side of the image is three times the slope of the corresponding side of the original triangle. 4) The measure of each angle in the image is three times the measure of the corresponding angle of the original triangle.
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