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.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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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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