Q:

On a piece of paper, use a protractor and a ruler to construct two equilateral triangles: one with a side length of 4 inches and one with a side length of 5 inches. Which statement is true about the two triangles? a The two triangles are the same size and same shape.b The two triangles are the same shape but not the same size. cThe two triangles are the same size but not the same shape.d It is impossible to construct equilateral triangles with these side lengths.

Accepted Solution

A:
Your answer is going to be B. The reason for this is because an equilateral triangle is a triangle in which has three sides, all equal to each other, meaning that the first triangle is going to have all sides equal to 4 in. and the other is going to have all sides equal to 5 in. With this information, we now know that the shape is going to be different because all equilateral triangles have 3 angles which all equal 60 degrees, but the size is not the same because of the fact the side lengths are different.