Question

C is (-5, 2) it is rotated -90 degrees clockwise what is c'

Answer 1

H (-1, -8) is rotated -270 degrees clockwise. What is H'

Answer 2

P(4,1) is rotated 270 degrees counterclockwise. What is P'

Answer 3

To rotate a point \((x, y)\) by \(-90\) degrees clockwise, you can use the transformation formula:

\[
(x', y') = (y, -x)
\]

For the point \(C = (-5, 2)\):

1. Identify \(x\) and \(y\):
- \(x = -5\)
- \(y = 2\)

2. Apply the transformation:
- \(x' = y = 2\)
- \(y' = -x = -(-5) = 5\)

Thus, the new coordinates \(C'\) after the rotation will be:

\[
C' = (2, 5)
\]

Answer 4

To rotate a point \((x, y)\) by \(-270\) degrees clockwise, you can convert this rotation into a simpler form. A \(-270\) degrees clockwise rotation is equivalent to a \(90\) degrees counterclockwise rotation.

The transformation for a \(90\) degrees counterclockwise rotation is given by:

\[
(x', y') = (-y, x)
\]

For the point \(H = (-1, -8)\):

1. Identify \(x\) and \(y\):
- \(x = -1\)
- \(y = -8\)

2. Apply the transformation:
- \(x' = -y = -(-8) = 8\)
- \(y' = x = -1\)

Thus, the new coordinates \(H'\) after the rotation will be:

\[
H' = (8, -1)
\]

Answer 5

To rotate a point \((x, y)\) by \(270\) degrees counterclockwise, you can convert this rotation into a simpler form. A \(270\) degrees counterclockwise rotation is equivalent to a \(90\) degrees clockwise rotation.

The transformation for a \(90\) degrees clockwise rotation is given by:

\[
(x', y') = (y, -x)
\]

For the point \(P = (4, 1)\):

1. Identify \(x\) and \(y\):
- \(x = 4\)
- \(y = 1\)

2. Apply the transformation:
- \(x' = y = 1\)
- \(y' = -x = -4\)

Thus, the new coordinates \(P'\) after the rotation will be:

\[
P' = (1, -4)
\]