Which best explains why all equilateral triangles are similar?

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

B. All equilateral triangles can be mapped onto each other using rigid transformations.

C. All equilateral triangles can be mapped onto each other using combinations of dilations and rigid transformations.

D. All equilateral triangles are congruent and therefore similar, with side lengths in a 1:1 ratio.

Question

Mathematics

Hannah Chambers

7 February, 21:11

Which best explains why all equilateral triangles are similar?

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

B. All equilateral triangles can be mapped onto each other using rigid transformations.

C. All equilateral triangles can be mapped onto each other using combinations of dilations and rigid transformations.

D. All equilateral triangles are congruent and therefore similar, with side lengths in a 1:1 ratio.

+3

Answers (1)

Know the Answer?

Nikolas Best · Answer 1

The answer is A, " All equilateral triangles can be mapped onto each other using dilations."

All equilateral triangles sides are equal, and all their angles are also equal. The only thing that could change between equilateral triangles is the measurement of the sides. So if you dilate one equilateral triangle (make bigger or smaller), you will be able to make it equal to any other equilateral triangle.