Question

If you reflect (-3,7) across the x-axis and then rotate 180 clockwise about the origin, what is the new coordinate?

a) (3, -7)
b) (-3, -7)
c) (-3, 7)
d) (3, 7)

Answer 1

To reflect (-3,7) across the x-axis and then rotate 180 clockwise about the origin, the new coordinate is (7, -3).

Step-by-step explanation:

To reflect the point (-3,7) across the x-axis, we keep the x-coordinate the same and change the sign of the y-coordinate. So, the new coordinate becomes (-3, -7).

To rotate the point (-3, -7) 180 degrees clockwise about the origin, we switch the x and y coordinates and change their signs. So, the new coordinate is (7, -3).

Therefore, the correct answer is (7, -3).