In the coordinate plane, a circle with center (2, 2) and radius 1 is the preimage of a transformation consisting of a dilation from the center of the circle with a scale factor of 2 and a translation to the left by 4 units. Which of the following statements best explains the relationship between the preimage and its image under the given transformation? 4 A The two circles are both congruent and similar because the transformation includes both a dilation whose scale factor is not 1 and a translation. B C D The two circles are congruent but are not similar because the transformation includes a translation. The two circles are not congruent but are similar because the transformation includes a dilation whose scale factor is not 1. The two circles are neither congruent nor similar because the transformation includes both a dilation whose scale factor is not 1 and a transformation.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Question 3
In the coordinate plane, a circle with center (2, 2) and radius 1 is the preimage of a transformation consisting of a dilation from the center of the circle with a scale factor of 2 and a translation to the left by 4
units. Which of the following statements best explains the relationship between the preimage and its image under the given transformation?
A The two circles are both congruent and similar because the transformation includes both a dilation whose scale factor is not 1 and a translation.
B
C
D
The two circles are congruent but are not similar because the transformation includes a translation.
The two circles are not congruent but are similar because the transformation includes a dilation whose scale factor is not 1.
The two circles are neither congruent nor similar because the transformation includes both a dilation whose scale factor is not 1 and a transformation.
Transcribed Image Text:Question 3 In the coordinate plane, a circle with center (2, 2) and radius 1 is the preimage of a transformation consisting of a dilation from the center of the circle with a scale factor of 2 and a translation to the left by 4 units. Which of the following statements best explains the relationship between the preimage and its image under the given transformation? A The two circles are both congruent and similar because the transformation includes both a dilation whose scale factor is not 1 and a translation. B C D The two circles are congruent but are not similar because the transformation includes a translation. The two circles are not congruent but are similar because the transformation includes a dilation whose scale factor is not 1. The two circles are neither congruent nor similar because the transformation includes both a dilation whose scale factor is not 1 and a transformation.
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