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Which maps AABC to a similar triangle? OA. (D4 r180-)(AABC) O B. (r90° T<2, -2>)(AABC) C. (T<2, -2> Rx-axis)(AABC) ° D. (Rx-axis ° rgo•)(AABC)

Which maps AABC to a similar triangle? OA. (D4 r180-)(AABC) O B. (r90° T<2, -2>)(AABC) C. (T<2, -2> Rx-axis)(AABC) ° D. (Rx-axis ° rgo•)(AABC)

Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
8th Edition
ISBN:9781305652224
Author:Charles P. McKeague, Mark D. Turner
Publisher:Charles P. McKeague, Mark D. Turner
Chapter2: Right Triangle Trigonometry
Section: Chapter Questions
Problem 3GP
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Which maps AABC to a similar triangle? O A. (D4°r180°)(AABC) O B. (r90° T<2, -2>)(AABC) O ° Rx-axis)(AABC) C. (T<2, -2> O D. (Rx-axis ° r90º)(AABC)
Transcribed Image Text:Which maps AABC to a similar triangle? O A. (D4°r180°)(AABC) O B. (r90° T<2, -2>)(AABC) O ° Rx-axis)(AABC) C. (T<2, -2> O D. (Rx-axis ° r90º)(AABC)
Expert Solution
Step 1

Rotations, reflections and translations are known as rigid transformations; this means they do not change the size or shape of a figure, they simply move it. These rigid transformations preserve congruence.

Dilation, however, are not rigid transformations, since they change the size of a shape. Dilation would not change the shape, just the size; the angle measures would be the same, and the ratio of corresponding sides would be equal to the scale factor used in the dilation. This would give us a similar triangle. 

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