Rotate the point (5, 8)

Question

(
5
,

8
)
on a geometric figure 270 degrees clockwise. What is the new point?(1 point)
Responses

(8, 5)
(
8
,

5
)
left parenthesis 8 comma 5 right parenthesis

(−8, −5)
(
−
8
,

−
5
)
left parenthesis negative 8 comma negative 5 right parenthesis

(−8, 5)
(
−
8
,

5
)
left parenthesis negative 8 comma 5 right parenthesis

(8, −5)

Answer 1

To rotate the point (5, 8) 270 degrees clockwise, you can use the following rule for rotation:

• A rotation of 270 degrees clockwise is equivalent to a rotation of 90 degrees counterclockwise.
• The transformation for a 90-degree counterclockwise rotation is: (x, y) → (-y, x).

Applying this transformation to the point (5, 8):

1. Start with (x, y) = (5, 8).
2. Apply the transformation: (-y, x) = (-8, 5).

So after rotating the point (5, 8) 270 degrees clockwise, the new point will be (-8, 5).

Therefore, the correct response is:

(−8, 5)