Question

A triangle has the coordinates (7, 6), (6, 3), and (8, 3) at its vertices. The transformed triangle has the coordinates (6, −7), (3, −6), and (3, −8) at its vertices. Are the triangle and its transformation congruent? Why or why not?
A. Yes, the transformation is a 90° clockwise rotation.
B. No, the transformation is a 180° clockwise rotation.
C. Yes, the transformation is a 270° clockwise rotation.
D. No, the transformation is a 360° clockwise rotation.

Answer 1

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  coordinates of vertices of Image are (6, −7), (3, −6), and (3, −8).

When you will compare Pre image and Image

1.⇒ Rotation in clockwise direction has taken place to get the Image.

2.⇒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.

⇒Option A: Yes, the transformation is a 90° clockwise rotation.

Answer 2

The answer is A, for future people