(dumb it down alot and make it look like an 8th grader wrote it with some mispellsd and only put 3 sentences )

Triangle ABC is drawn with vertices at A(−1, −4), B(−6, −6), C(−4, −2). After a rotation, image A′B′C′ has vertices A′(−4, 1), B′(−6, 6), C′(−2, 4).

Part A: Determine the two different rotations that would create the image. (1 point)

Part B: Explain how you know your answer to Part A is correct. (3 points)

1 answer

Part A: The triangle can be rotated 90 degrees clockwise or 270 degrees counterclockwise to make the new triangle.

Part B: I know this is right because when you look at the points A, B, and C and where they move to, they match up perfectly after those rotations. Also, the distance between the points stays the same, which is super important in rotations. So, both ways give us the same new triangle!