Question

Vertex A in quadrilateral ABCD lies at (-3, 2). If you rotate ABCD 180° clockwise about the origin, what will be the coordinates of A′ of the rotated quadrilateral A′B′C′D′?

A. (3, -2)
B. (-3, 2)
C. (-2, 3)
D. (-3, -2)

Answer 1

A. (3, -2)

Explanation:

A 180° rotation about the origin places an object in the quadrant diagonal to the one it started in. Moving the object two 90° turns, will place it in a coordinate that will make the values of 'x' and 'y' opposite to the initial value. In this case, vertex A has an initial point of (-3, 2), so after a 180° rotation, it would be (3, -2).