Mr. Sheffo wants to make a shelf with boards that are 1 1/4 feet long. If he has an 18-foot board, how many pieces can he cut fr
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Answer:
They are not congruent; they are similar.
Step-by-step explanation:
If you analyze the coordinates, you can see that Triangle PQR has been dilated by 1/4 to become Triangle P'Q'R'. Because the triangle has been dilated but not transformed in any other way, you can say that the triangles are similar, but not congruent.
To be congruent, the triangles would have to have the same sizes and the same lengths (you may refer to the diagram below for a visual reference). To be similar, the triangles would have to have the same angles, but with different side lengths. With the dilation, the side lengths have changed, but the angles have not changed.
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