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. P B 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. C. 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.

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter7: Equations And Inequalities In Two Variables
Section7.3: Distance And Slope
Problem 69PS
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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.
P
B
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.
C. 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.
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. P B 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. C. 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.
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