Question

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? (1.The two triangles are the same size and same shape. ) (2.It is impossible to construct equilateral triangles with these side lengths. ) (3.The two triangles are the same size but not the same shape. ) (4.The two triangles are the same shape but not the same size.)

Answer 1

The answer is 1 since all angles of an equilateral triangle is equal to 60 degrees so this affects their sizes. As for the shape, they are the same because they are both triangles.

Answer 2

The statement is true about the two triangles is " The two triangles are the same shape but different size.

Given that,

One with a side length of 4 inches,

And one with a side length of 5 inches.

We have to construct,

Two equilateral triangles that is one with a side length of 4 inches and one with a side length of 5 inches.

According to the question,

Now, Both the triangles are equilateral triangles, thus they have same shape.

Also, Both triangles have different side lengths, one having 4 inches and another having 5 inches, thus they have different size.

Since, both the triangles are equilateral triangles, thus they have same shape . But both triangles have different side lengths thus they have different size.

Therefore, The statement is true about the two triangles is " The two triangles are the same shape but different size.

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