Question

Worth 30 points!! I'm having trouble with rotations

Determine the coordinates of triangle A′B′C′ if triangle ABC is rotated 270° clockwise.

A′(−2, 2), B′(3, −3), C′(−5, −2)

A′(2, −2), B′(−3, 3), C′(5, 2)

A′(2, 2), B′(−3, −3), C′(5, −2)

A′(2, −2), B′(−3, 3), C′(2, 5)

Answer 1

2. A'(2, -2), B'(-3, 3), C'(5, 2).

Explanation:

Certainly! I apologize for the lengthy explanation. Here are the shorter steps to determine the coordinates of triangle A'B'C' after a 270° clockwise rotation:

For point A (-2, 2):

Rotate A by 270° clockwise:

A' = (2, -2)

For point B (3, -3):

Rotate B by 270° clockwise:

B' = (-3, 3)

For point C (-5, -2):

Rotate C by 270° clockwise:

C' = (5, 2)

So, the coordinates of triangle A'B'C' after the rotation are A'(2, -2), B'(-3, 3), C'(5, 2).