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On a piece of paper, use a protractor and a ruler to construct two equilateral triangles: one with a side length of 2 inches and one with a side length of 3 inches.

Which statement is true about the two triangles?

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

Verified Answer :

JeanaShupp

Answer: 2. The two triangles are the same shape but not the same size.

Step-by-step explanation:

Given: The side length of the first equilateral triangle is 2 inches

The side-length of the second equilateral triangle is 3 inches.

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 not the same size."

boffeemadrid

Answer:

(B)

Step-by-step explanation:

We have to construct two equilateral triangles that is one with the side length of 2 inches and the another triangle with side length of 3 inches.

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

Also, both triangles have different side lengths, one having 2 inches and another having 3 inches, thus they have different size.

Hence, the true statement about the two triangles is:

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

Therefore, option B is correct.