The figure shows line AC and line PQ intersecting at point B. Lines A'C' and P'Q' will be the images of lines AC and PQ, respectively, under a dilation with center P and scale factor 2. B C Which of the following statements about the image of lines AC and PQ would be TRUE under the dilation? O A. Line A'C' will be parallel to line AC, and line P'Q' will be parallel to line PQ. O B. Line A'C' will be parallel to line AC, and line P'Q' will be the same line as line PQ. OC. Line A'C' will be perpendicular to line AC, and line P'Q' will be parallel to line PQ. O D. Line A'C' will be perpendicular to line AC, and line P'Q' will be the same line as line PQ.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter6: Circles
Section6.4: Some Constructions And Inequalities For The Circle
Problem 12E
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The figure shows line AC and line PQ intersecting at point B. Lines A'C' and P'Q' will be the images of lines AC and PQ,
respectively, under a dilation with center P and scale factor 2.
B C
A
Which of the following statements about the image of lines AC and PQ would be TRUE under the dilation?
O A. Line A'C' will be parallel to line AC, and line P'Q' will be parallel to line PQ.
B. Line A'C' will be parallel to line AC, and line P'Q' will be the same line as line PQ.
C. Line A'C' will be perpendicular to line AC, and line P'Q' will be parallel to line PQ.
D. Line A'C' will be perpendicular to line AC, and line P'Q' will be the same line as line PQ.
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Transcribed Image Text:The figure shows line AC and line PQ intersecting at point B. Lines A'C' and P'Q' will be the images of lines AC and PQ, respectively, under a dilation with center P and scale factor 2. B C A Which of the following statements about the image of lines AC and PQ would be TRUE under the dilation? O A. Line A'C' will be parallel to line AC, and line P'Q' will be parallel to line PQ. B. Line A'C' will be parallel to line AC, and line P'Q' will be the same line as line PQ. C. Line A'C' will be perpendicular to line AC, and line P'Q' will be parallel to line PQ. D. Line A'C' will be perpendicular to line AC, and line P'Q' will be the same line as line PQ. Sign out novo DII
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