The point n(-2, -3) is rotated 180° clockwise about the origin. what are the coordinates of n′?

Question

A(3, -4) and A’(-3, 4)A(-3, -4) and A’(-3, 4)A(3, -4) and A’(-3, -4)A(-3, -4) and A’(-3, -4)

The point n(-2, -3) is rotated 180° clockwise about the origin. what are the coordinates of n′?
Hint:

Look where the lines passing through the point meets the axes

The correct answer is: A(3, -4) and A’(-3, 4)

Coordinate of point A = (3, -4)For a rotation of 180o, coordinate rule (a, b) → (-a, -b).A(3, -4) →  A’(-3, 4)

Rule: The point (x,y) will turn into (-x,-y) after you rotate the initial point 180 degrees clockwise about the origin. So in this case, (x,y) = (3,-2) turns into (-x,-y) = (-3,2)

The image is (-3,2)

Graph

The point n(-2, -3) is rotated 180° clockwise about the origin. what are the coordinates of n′?

Notice how the image, preimage, and origin all lie on the same straight line (dashed purple line).

Note: the preimage is the initial starting point (3,-2) and the image is the final ending point (-3,2) after the rotation.

Sarah L.

asked • 09/17/20

A. A'(0, 3), B'(2, 3), C'(1, 1)

B. A'(0, -3), B'(3, -2), C'(1, -1)

C. A'(-3, 0), B'(-3, 2), C'(-1, 1)

D. A'(0, -3), B'(-2, -3), C'(-1, -1)