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An artist creates the basic pattern for a tablecloth by creating two similar triangles, AABC and AABC , in the coordinate plane. • The vertices of AABC are A(1, 2) , B(1, 3) , and C(3, 2). • The vertices of AA BC are A (3, – 6), B (3, – 9), and C (9, – 6) . Which of these could be a sequence of two transformations that maps AABC to AA BC ? Choose all that are correct. Dilation by a factor of 3 about the origin, followed by reflection across the a -axis. A. B. Reflection across the r -axis, followed by dilation by a factor of 3 about the origin. C. Dilation by a factor of 3 about the origin, followed by reflection across the y -axis. Reflection across the y -axis, followed by dilation by a factor of 3 about the origin. D. Dilation by a factor of -3 about the origin, followed by reflection across the y -axis. E. Reflection across the z -axis, followed by dilation by a factor of -3 about the origin. F.

An artist creates the basic pattern for a tablecloth by creating two similar triangles, AABC and AABC , in the coordinate plane. • The vertices of AABC are A(1, 2) , B(1, 3) , and C(3, 2). • The vertices of AA BC are A (3, – 6), B (3, – 9), and C (9, – 6) . Which of these could be a sequence of two transformations that maps AABC to AA BC ? Choose all that are correct. Dilation by a factor of 3 about the origin, followed by reflection across the a -axis. A. B. Reflection across the r -axis, followed by dilation by a factor of 3 about the origin. C. Dilation by a factor of 3 about the origin, followed by reflection across the y -axis. Reflection across the y -axis, followed by dilation by a factor of 3 about the origin. D. Dilation by a factor of -3 about the origin, followed by reflection across the y -axis. E. Reflection across the z -axis, followed by dilation by a factor of -3 about the origin. F.

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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An artist creates the basic pattern for a tablecloth by creating two similar triangles, AABC and AABC , in the coordinate plane. • The vertices of AABC are A(1, 2) , B(1, 3), and C(3, 2). • The vertices of AA BC' are A (3, - 6), B (3, - 9) , and C' (9, – Which of these could be a sequence of two transformations that maps AABC to AABC ? Choose all that are correct. Dilation by a factor of 3 about the origin, followed by reflection across the a -axis. A. B. Reflection across the I -axis, followed by dilation by a factor of 3 about the origin. C. Dilation by a factor of 3 about the origin, followed by reflection across the y -axis. D. Reflection across the y -axis, followed by dilation by a factor of 3 about the origin. Dilation by a factor of -3 about the origin, followed by reflection across the y -axis. E. F. Reflection across the z -axis, followed by dilation by a factor of -3 about the origin.
Transcribed Image Text:An artist creates the basic pattern for a tablecloth by creating two similar triangles, AABC and AABC , in the coordinate plane. • The vertices of AABC are A(1, 2) , B(1, 3), and C(3, 2). • The vertices of AA BC' are A (3, - 6), B (3, - 9) , and C' (9, – Which of these could be a sequence of two transformations that maps AABC to AABC ? Choose all that are correct. Dilation by a factor of 3 about the origin, followed by reflection across the a -axis. A. B. Reflection across the I -axis, followed by dilation by a factor of 3 about the origin. C. Dilation by a factor of 3 about the origin, followed by reflection across the y -axis. D. Reflection across the y -axis, followed by dilation by a factor of 3 about the origin. Dilation by a factor of -3 about the origin, followed by reflection across the y -axis. E. F. Reflection across the z -axis, followed by dilation by a factor of -3 about the origin.
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