Vertex A in quadrilateral ABCD lies at (-3, 2). If you rotate ABCD 180° clockwise about the origin, what will be the coordinates

Question

Vladimir79 [104]

3 years ago

13

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)

Mathematics

1 answer:

Leni [432] · Answer 1 · 2022-02-20T04:24:47+03:00

Answer:

A. (3, -2)

Step-by-step 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).