The image of triangle P after a rotation of 180 degrees about (2,3) is P 1prime, given that P(3,4) determine the coordinate of P 1prime

If a with coordinates (4, -3) is rotated 90° clockwise, then rotated 180°, what are the coordinates of P"?

The image of the point (-4, 3) under a rotation of 90° (counterclockwise) centered at the origin is ______.  Answer in (x, y) format.

Triangle UVW has vertices at U(−2, 0), V(−3, 1), W(−3, 3). Determine the vertices of image U′V′W′ if the preimage is rotated 180° counterclockwise. U′(0, −2), V′(−1, −3), W′(−3, −3) U′(0, −2), V′(1, −3), W′(3, −3) U′(2, 0), V′(3, −1), W′(3, −3) U′(−1, 0), V′(−3, 0), W′(3, −3)

Given triangle ABC with vertices at points A( - 1, 3 ), B( 1, - 1 ), and C( 4, 2 ) and if the triangle is rotated 90° clockwise about the point ( 4, 1 ), find the new coordinates of  C'.

a photograph with a tilt of 3 degrees was taken with a camera of focal length f 150 mm. An image q lies on the part of the photograph upward of the axis of tilt such that the radial distance from the principal point p to q is 65 mm. If the angle between line pq is 15 degrees compute the ilt dispacement of q