What is the new point when you rotate a geometric figure with point (5, 8) 270 degrees counterclockwise about the origin

Answer 1

To rotate a geometric figure counterclockwise 270 degrees about the origin, we can use the following formula:

For a point (x, y) rotated counterclockwise θ degrees about the origin, the new point (x', y') is given by:
x' = x * cos(θ) - y * sin(θ)
y' = x * sin(θ) + y * cos(θ)

In this case, the point given is (5, 8), and we want to rotate it 270 degrees counterclockwise. Let's substitute the values into the formulas:

θ = 270 degrees
x = 5
y = 8

Using the formulas, we get:

x' = 5 * cos(270°) - 8 * sin(270°)
y' = 5 * sin(270°) + 8 * cos(270°)

Now let's calculate cos(270°) and sin(270°):

cos(270°) = -1
sin(270°) = 0

Substituting the values and simplifying:

x' = 5 * (-1) - 8 * 0
= -5
y' = 5 * 0 + 8 * (-1)
= -8

Therefore, when you rotate the point (5, 8) 270 degrees counterclockwise about the origin, the new point is (-5, -8).

Answer 2

most likely (8, -5) for the first question

Answer 3

alright i have the answers their all right
8, -5
-6, 4
-8, 5
6 -4
-5, 9

Answer 4

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Answer 5

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Answer 6

tysm joshua ^^