15. Consider the diagram. Circle Q has a radius of 2 and Circle T has a radius of 7. Use transformations to decide if circles Q and T are similar. Choose the answer with the best explanation. A. They are similar because if there is a sequence of transformations that maps one figure onto another, then the figures are similar. Translate the center of Circle Q to point T. Then, dilate the radius of 7 7 Circle Q by a scale factor of B. They are similar because if there is a sequence of transformations that maps one figure onto another, then the figures 2 are similar. Translate the center of Circle Q to point T. Then, dilate the radius of Circle Q by a scale factor of - 7 C. They are similar because if there is a sequence of transformations that maps one figure onto another, then the figures are similar. Translate the center of Circle Q to point T. Then, rotate the radius of Circle Q 180° around point T. D. Circle Q and Circle T are not similar.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter8: Areas Of Polygons And Circles
Section8.1: Area And Initial Postulates
Problem 3E: Consider the information in Exercise 2, but suppose you know that the area of the region defined by...
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15. Consider the diagram.
Circle Q has a radius of 2 and Circle T has a radius of 7. Use
transformations to decide if circles Q and T are similar. Choose the
answer with the best explanation.
A. They are similar because if there is a sequence of transformations
that maps one figure onto another, then the figures are similar.
Translate the center of Circle Q to point T. Then, dilate the radius of
7
Circle Q by a scale factor of
2
B. They are similar because if there is a sequence of transformations that maps one figure onto another, then the figures
are similar. Translate the center of Circle Q to point T. Then, dilate the radius of Circle Q by a scale factor of
C. They are similar because if there is a sequence of transformations that maps one figure onto another, then the figures
are similar. Translate the center of Circle Q to point T. Then, rotate the radius of Circle Q 180° around point T.
D. Circle Q and Circle T are not similar.
Transcribed Image Text:15. Consider the diagram. Circle Q has a radius of 2 and Circle T has a radius of 7. Use transformations to decide if circles Q and T are similar. Choose the answer with the best explanation. A. They are similar because if there is a sequence of transformations that maps one figure onto another, then the figures are similar. Translate the center of Circle Q to point T. Then, dilate the radius of 7 Circle Q by a scale factor of 2 B. They are similar because if there is a sequence of transformations that maps one figure onto another, then the figures are similar. Translate the center of Circle Q to point T. Then, dilate the radius of Circle Q by a scale factor of C. They are similar because if there is a sequence of transformations that maps one figure onto another, then the figures are similar. Translate the center of Circle Q to point T. Then, rotate the radius of Circle Q 180° around point T. D. Circle Q and Circle T are not similar.
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