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.
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter12: Angle Relationships And Transformations
Section12.5: Reflections And Symmetry
Problem 20E
Related questions
Question
![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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2486ab07-9168-481c-a4ef-4f5528be7503%2F45f82fa6-8535-4f7f-91de-ae25c820de6c%2Fot91rko_processed.jpeg&w=3840&q=75)
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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