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 negative 5 right parenthesis

(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)

Answer 1

To rotate the point (5, 8) by 270 degrees clockwise, we can use the following method:

1. Understand the rotation: A 270-degree clockwise rotation is equivalent to a 90-degree counterclockwise rotation.

2. Use the rotation rule: For a 90-degree counterclockwise rotation, the point (x, y) becomes (-y, x).

3. Apply the rule:

   • Starting point: (5, 8)
   • After 90-degree counterclockwise rotation: (-8, 5)

Thus, rotating (5, 8) by 270 degrees clockwise gives the point (-8, 5).

So the answer is: (−8, 5).