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* Question 4 Gina dilates several line segments by different scale factors and observes their images. Afterward, she claims that the ratio of the length of the image to the length of the original line segment is equal to the scale factor of the dilation. Which statement BEST describes Gina's claim? Gina's claim is true for all dilations of all line segments. Gina's claim is true only for dilations with a positive scale factor. Gina's claim is true only for dilations with a scale factor of 1 or -1 Gina's claim is true only for dilations of line segments passing through the center of dilation.

* Question 4 Gina dilates several line segments by different scale factors and observes their images. Afterward, she claims that the ratio of the length of the image to the length of the original line segment is equal to the scale factor of the dilation. Which statement BEST describes Gina's claim? Gina's claim is true for all dilations of all line segments. Gina's claim is true only for dilations with a positive scale factor. Gina's claim is true only for dilations with a scale factor of 1 or -1 Gina's claim is true only for dilations of line segments passing through the center of dilation.

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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**Question 4** Gina dilates several line segments by different scale factors and observes their images. Afterward, she claims that the ratio of the length of the image to the length of the original line segment is equal to the scale factor of the dilation. Which statement BEST describes Gina’s claim? - **A** Gina's claim is true for all dilations of all line segments. - **B** Gina's claim is true only for dilations with a positive scale factor. - **C** Gina's claim is true only for dilations with a scale factor of \(1\) or \(-1\). - **D** Gina's claim is true only for dilations of line segments passing through the center of dilation.
Transcribed Image Text:**Question 4** Gina dilates several line segments by different scale factors and observes their images. Afterward, she claims that the ratio of the length of the image to the length of the original line segment is equal to the scale factor of the dilation. Which statement BEST describes Gina’s claim? - **A** Gina's claim is true for all dilations of all line segments. - **B** Gina's claim is true only for dilations with a positive scale factor. - **C** Gina's claim is true only for dilations with a scale factor of \(1\) or \(-1\). - **D** Gina's claim is true only for dilations of line segments passing through the center of dilation.
**Question 3** The length of \( CD \) is 12 units. \( C'D' \) is the image of \( CD \) under a dilation with a scale factor of \( n \). Which of these are true? Choose all that are correct. - A: If \( n = 4 \), \( C'D' = 3 \) units. - B: If \( n = \frac{3}{4} \), \( C'D' = 9 \) units. - C: If \( n = 8 \), \( C'D' = 20 \) units. - D: If \( n = 2 \), \( C'D' = 24 \) units. - E: If \( n = \frac{3}{2} \), \( C'D' = 18 \) units.
Transcribed Image Text:**Question 3** The length of \( CD \) is 12 units. \( C'D' \) is the image of \( CD \) under a dilation with a scale factor of \( n \). Which of these are true? Choose all that are correct. - A: If \( n = 4 \), \( C'D' = 3 \) units. - B: If \( n = \frac{3}{4} \), \( C'D' = 9 \) units. - C: If \( n = 8 \), \( C'D' = 20 \) units. - D: If \( n = 2 \), \( C'D' = 24 \) units. - E: If \( n = \frac{3}{2} \), \( C'D' = 18 \) units.
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