Question

On a piece of paper, use a protractor and a ruler to construct two equilateral triangles: one with a side length of 3 inches and one with a side length of 4 inches.

Which statement is true about the two triangles?

A The two triangles are the same size but not the same shape.

B It is impossible to construct equilateral triangles with these side lengths.

C The two triangles are the same size and same shape.

D The two triangles are the same shape but not the same size.

Answer 1

D) The two Triangles are the same shape but not the same size because they are of same shape that is Triangle and of different size that is 4 and 3 inches

Answer 2

D. The two triangles are the same shape but not the same size.

Explanation:

Givens

• We have two equilateral triangles, one with 3 inches side length and the other with 4 inches side length.

Notice that both figures have the same shape (equilateral triangle shape), but they are not congruent, that is, they are not equal triangles, because one is 3 inches side and the other is 4 inches side.

So, the two triangles are difference size but same shape.

Therefore, the right answer is D.