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The vertices of the triangle are A (-2, 0), B (0, 2), and C (0, -2) is dilated by the scale factor of 5 with respect to the origin k. Find the vertices of the dilated triangle. A.A' (-10, 0), B' (0, 10), and C' (0, -10) B.A' (-10, 10), B' (0, 10), and C' (0, -10) c.A' (-10, 0), B' (10, 10), and C' (0, -10) D.A' (-10, 0), B' (0, 10), and C' (-10, -10)   The coordinates of the square are (20, 14), (14, -6), (-14, -8), and (-6, 10). If the square is dilated by 2, then find the coordinates of the dilated square. A.(40, 28), (28, -12), (-28, -16), (-12, 20) B.(40, -28), (28, -12), (-28, -16), (-12, 20) C.(40, 28), (-28, -12), (-28, -16), (-12, 20) D.(40, -28), (-28, -12), (-28, -16), (-12, 20)

The vertices of the triangle are A (-2, 0), B (0, 2), and C (0, -2) is dilated by the scale factor of 5 with respect to the origin k. Find the vertices of the dilated triangle. A.A' (-10, 0), B' (0, 10), and C' (0, -10) B.A' (-10, 10), B' (0, 10), and C' (0, -10) c.A' (-10, 0), B' (10, 10), and C' (0, -10) D.A' (-10, 0), B' (0, 10), and C' (-10, -10)   The coordinates of the square are (20, 14), (14, -6), (-14, -8), and (-6, 10). If the square is dilated by 2, then find the coordinates of the dilated square. A.(40, 28), (28, -12), (-28, -16), (-12, 20) B.(40, -28), (28, -12), (-28, -16), (-12, 20) C.(40, 28), (-28, -12), (-28, -16), (-12, 20) D.(40, -28), (-28, -12), (-28, -16), (-12, 20)

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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The vertices of the triangle are A (-2, 0), B (0, 2), and C (0, -2) is dilated by the scale factor of 5 with respect to the origin k. Find the vertices of the dilated triangle.
A.A' (-10, 0), B' (0, 10), and C' (0, -10)
B.A' (-10, 10), B' (0, 10), and C' (0, -10)
c.A' (-10, 0), B' (10, 10), and C' (0, -10)
D.A' (-10, 0), B' (0, 10), and C' (-10, -10)
 
The coordinates of the square are (20, 14), (14, -6), (-14, -8), and (-6, 10). If the square is dilated by 2, then find the coordinates of the dilated square.
A.(40, 28), (28, -12), (-28, -16), (-12, 20)
B.(40, -28), (28, -12), (-28, -16), (-12, 20)
C.(40, 28), (-28, -12), (-28, -16), (-12, 20)
D.(40, -28), (-28, -12), (-28, -16), (-12, 20)
A triangle with vertices (1, -1), (2, -5), and (5, -3) is dilated by a scale factor of 3 about the origin. Find the new coordinates of the vertices of the triangle. - (2, -2), (4, -10), and (10, -6) - (3, -3), (6, -15), and (15, -9) - (-2, 2), (-4, 10), and (-10, 6) - (-3, 3), (-6, 15), and (-15, 9)
Transcribed Image Text:A triangle with vertices (1, -1), (2, -5), and (5, -3) is dilated by a scale factor of 3 about the origin. Find the new coordinates of the vertices of the triangle. - (2, -2), (4, -10), and (10, -6) - (3, -3), (6, -15), and (15, -9) - (-2, 2), (-4, 10), and (-10, 6) - (-3, 3), (-6, 15), and (-15, 9)
**Problem Statement:** Find the vertices of the triangle \( A (4, 8), B (6, 12), \) and \( C (3, 8) \) after dilation with a scale factor of 2, where the center of dilation is the origin. **Answer Choices:** 1. \( A (4, 8), B (6, 12), C (3, 8) \) 2. \( A' (8, 16), B' (12, 24), C' (6, 16) \) 3. \( A' (8, 4), B' (8, 24), C' (16, 6) \) 4. \( A' (8, 32), B' (10, 24), C' (8, 16) \) **Explanation:** To find the vertices of the triangle after dilation, multiply the coordinates of each vertex by the scale factor of 2. The correct answer is the one where each original coordinate is doubled.
Transcribed Image Text:**Problem Statement:** Find the vertices of the triangle \( A (4, 8), B (6, 12), \) and \( C (3, 8) \) after dilation with a scale factor of 2, where the center of dilation is the origin. **Answer Choices:** 1. \( A (4, 8), B (6, 12), C (3, 8) \) 2. \( A' (8, 16), B' (12, 24), C' (6, 16) \) 3. \( A' (8, 4), B' (8, 24), C' (16, 6) \) 4. \( A' (8, 32), B' (10, 24), C' (8, 16) \) **Explanation:** To find the vertices of the triangle after dilation, multiply the coordinates of each vertex by the scale factor of 2. The correct answer is the one where each original coordinate is doubled.
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