collinslillian
Answered

Which best explains why all equilateral triangles are similar?

AAll equilateral triangles can be mapped onto each other using dilations.
BAll equilateral triangles can be mapped onto each other using rigid transformations.
CAll equilateral triangles can be mapped onto each other using combinations of dilations and rigid transformations.
DAll equilateral triangles are congruent and therefore similar, with side lengths in a 1:1 ratio.

Verified Answer :

I think it is D. Due to the fact that all equilateral triangles have all the sides of the same length, giving it a ration of 1:1

JeanaShupp

Answer: A. All equilateral triangles can be mapped onto each other using dilations.

Step-by-step explanation:

We know that all equilateral triangles are similar to each but not congruent because they all have same measure of corresponding angles 60° but do not have same side-lengths.

So, equilateral triangles can be mapped onto each other using dilation because they maps similar shapes (sometimes congruent) where as rigid transformations always map congruent shapes so we cannot map all equilateral triangles by using  rigid transformations.

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