Question

Use the graph to answer the question.

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

The correct answer is D.

Answer 2

To rotate a point (x, y) 270° clockwise, we can switch its coordinates, negate the new y-coordinate and simplify the signs.

So, for point A(-2,2), its image A′ after a 270° clockwise rotation would be A′(2, -2).

For point B(3,-3), its image B′ would be B′(-3,-3).

For point C(-5,-2), its image C′ would be C′(2,5).

Therefore, the coordinates of triangle A′B′C′ after a 270° clockwise rotation would be:

A′(2, -2), B′(-3,-3), C′(2,5).

The correct answer is D. A′(2, −2), B′(−3, 3), C′(2, 5).