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

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.

eugeniarodriguez0729 eugeniarodriguez0729 · Answer 2 · 2021-04-14T17:42:53+02:00

eugeniarodriguez0729 eugeniarodriguez0729

14-04-2021

Answer: C

Step-by-step explanation: I took the test

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