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Under which transformation would A B C , the image of ABC, not be congruent to ABC?

July 15, 2017

 

 

Under which transformation would A B C , the image of ABC, not be congruent to ABC?

(1) reflection over the y-axis
(2) rotation of 90o clockwise about the origin
(3) translation of 3 units right and 2 units down
(4) dilation with a scale factor of 2 centered at the origin 

 

Explanation and answer:

The only transformation listed that changes the size of ABC is dilation, choice (4). Under dilation with a scale of 2, ABC will be double the size of the original and therefore not be congruent. Other transformations such as reflection, rotation and translation just change the location of ABC but not its size.

 

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