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A triangle has the coordinates (7, 6), (6, 3), and (8, 3) at its vertices. The transformed triangle has the coordinates (6, βˆ’7), (3, βˆ’6), and (3, βˆ’8) at its vertices. Are the triangle and its transformation congruent? Why or why not?


A. Yes, the transformation is a 90Β° clockwise rotation.
B. No, the transformation is a 180Β° clockwise rotation.
C. Yes, the transformation is a 270Β° clockwise rotation.
D. No, the transformation is a 360Β° clockwise rotation.

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The answer is A, for future people

Answer with explanation:

Vertices of Triangle are (7, 6), (6, 3), and (8, 3) .

When the triangle is transformed that is rotation has taken place and the Β coordinates of vertices of Image are (6, βˆ’7), (3, βˆ’6), and (3, βˆ’8).

When you will compare Pre image and Image

1.β‡’ Rotation in clockwise direction has taken place to get the Image.

2.β‡’Pre Image is in First Quadrant, and Image is in fourth Quadrant

Among the four transformation , Reflection, Rotation, Translation and Dilation , in first three that is, Reflection, Rotation,and Translation Preimage and Image are Congruent , while in Dilation the two, Preimage and Image are Similar.

So , Yes the two triangles are Congruent.

β‡’Option A: Yes, the transformation is a 90Β° clockwise rotation.

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