Question

What is the image of the point left bracket, minus, 7, comma, minus, 8, right bWhat is the image of the point left bracket, minus, 7, comma, minus, 8, right bracket(−7,−8) after a rotation of 180, degrees180 ∘ counterclockwise about the origin?racket(−7,−8) after a rotation of 180, degrees180 ∘ counterclockwise about the origin?

Answer 1

Answer: To find the image of the point (-7,-8) after a rotation of 180 degrees counterclockwise about the origin, we can use the following steps:

1. Start with the given point (-7,-8).

2. To rotate a point 180 degrees counterclockwise about the origin, we need to change the sign of both the x and y coordinates.

3. The new x-coordinate will be the opposite of the original x-coordinate, so -(-7) = 7.

4. The new y-coordinate will be the opposite of the original y-coordinate, so -(-8) = 8.

5. The image of the point (-7,-8) after a rotation of 180 degrees counterclockwise about the origin is (7,8).

Therefore, the image of the point (-7,-8) after a rotation of 180 degrees counterclockwise about the origin is (7,8).