Given a point on a line segment (−4, −6) , what is the new point when the point is rotated clockwise about the origin 90 degrees?

Question

A. (−6, 4)

B. (−6, −4)

C. (4, 6)

D. (−4, 6)

Answer 1

To rotate a point (x, y) 90 degrees clockwise about the origin, we can use the formulas:

x' = y

y' = -x

Applying these formulas to the given point (-4, -6), we get:

x' = -6

y' = 4

Therefore, the new point after rotating 90 degrees clockwise is (-6, 4).

So, the answer is A. (−6, 4)

Answer 2

Rotate the point (5, 8) on a geometric figure 270 degrees clockwise. What is the new point?

A. (−8, −5)

B. (8, −5)

C. (8, 5)

D. (−8, 5)

Answer 3

To rotate a point (x, y) 270 degrees clockwise on a geometric figure, we can use the formulas:

x' = y

y' = -x

Applying these formulas to the given point (5, 8), we get:

x' = 8

y' = -5

Therefore, the new point after rotating 270 degrees clockwise is (8, -5).

So, the answer is B. (8, -5).

Answer 4

Rotate the point (−4, −6) on a geometric figure 90 degrees counterclockwise. What is the new point?

A. (6, −4)

B. (6, 4)

C. (−6, 4)

D. (−6, −4)

Answer 5

To rotate a point (x, y) 90 degrees counterclockwise on a geometric figure, we can use the formulas:

x' = -y

y' = x

Applying these formulas to the given point (-4, -6), we get:

x' = 6

y' = -4

Therefore, the new point after rotating 90 degrees counterclockwise is (6, -4).

So, the answer is A. (6, -4).

Answer 6

Rotate the point (9, 5) on a geometric figure 270 degrees clockwise. What is the new point?

A. (5, 9)

B. (−5, 9)

C. (−9,−5)

D. (−5,−9)

Answer 7

To rotate a point (x, y) 270 degrees clockwise on a geometric figure, we can use the formulas:

x' = -y

y' = x

Applying these formulas to the given point (9, 5), we get:

x' = -5

y' = 9

Therefore, the new point after rotating 270 degrees clockwise is (-5, 9).

So, the answer is B. (-5, 9).