cartesian coordinate rotation

Ordered Pairs and Cartesian Product - In a Rectangular Cartesian System of coordinates the position of a point in a plane is determined by an ordered pair whose elements give the distances from the intersecting straight lines at right angles to each other. These lines ..

Which of the following represents the relation between Cartesian and Polar coordinates? => x = r cos θ; y = r sin θ; r = x 2 - y 2 or x = r sin θ; y = r cos θ or x = r cos θ; y = r sin θ; r = x 2 + y 2 or None of the above..

What are the coordinates of R′, if the square PQRS is rotated 90° clockwise around the origin? => (- 4, 0) or (0, - 4) or (- 4, - 4) or (4, - 4)..

What are the coordinates of S′, if rectangle PQRS is rotated 180° clockwise around the origin? => (4, - 8) or (- 4, 8) or (- 8, - 4) or (- 4, - 8)..

Find the coordinates of C′, if triangle ABC is rotated 180 o counterclockwise around the origin. => (0, - 3) or (- 3, 0) or (0, 3) or (- 3, - 2)..

What are the coordinates of the point P (4, 5) when rotated by 90 o ? => (5, - 4) or (- 5, 4) or (- 4, 5) or (- 4, - 5)..

What are the coordinates of point C(2, 4) after rotating it 180 o ? => (- 2, - 4) or (2, 4) or (4, 2) or (- 4, 2)..

What are the coordinates of the point P (4, 5) when rotated by 90 o in the counter clockwise direction about the origin? => (-4, -5) or (5, -4) or (-4, 5) or (-5, 4)..

What are the coordinates of the point P (4, 5) when rotated counter clockwise by 90° about the origin? => (- 5, 4) or (5, - 4) or (- 4, 5) or (- 4, - 5)..

What are the coordinates of the point A (2, 3), when rotated counterclockwise by 90° about the origin? => (2, - 3) or (- 3, - 2) or (3, 2) or (- 3, 2)..