Question

Noah has drawn two triangle △MNO and △M'N'O' on the coordinate plane as shown below. (the image I pasted)

Which statement is the best explanation of the relationship between these triangles?



A. The given triangles are similar because they can be mapped onto each other by a series of reflections, translations, and dilations.


B. The given triangles are similar because they can be mapped onto each other by a series of reflections, translations, and rotations.


C. The given triangles are not similar because they cannot be mapped onto each other by a series of reflections, translations, and dilations.


D. The given triangles are not similar because they cannot be mapped onto each other by a series of reflections, translations, and rotations.



*I think the answer is C because the dilation doesn't add right but I'm not sure

So I want to check with you guys, by the way this is geometry

Ignore the college, this is high school

Answer 1

Answer: C

Step-by-step explanation: I took the test

Answer 2

choice C is correct

Explanation:

The clockwise sequence of vertices MNO is the opposite of the counterclockwise sequence of vertices M'N'O', so it seems some sort of reflection is involved.

Length NO is 3 times length N'O', but length NM is only 7/3 times length N'M', so the figures are not similar. (The ratios of side lengths must be the same for the figures to be similar.)

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Choice D includes only rigid transformations that would ensure congruence. Similar figures may also differ by a dilation factor, so C is the better choice.