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′?

Answer: The coordinate of A' after rotated through 180° is (3,-2)Step-by-step explanation:Given vertex A in a quadrilateral ABCD lies at (-3,2). Now we have to rotate the quadrilateral ABCD  180° clockwise about the origin.The  point (x,y) is when rotated about the origin through 90° in clockwise direction then the new position will be (y,-x).Now,the point A which is given is (-3,2) First after rotation through 90° the new point will be (2-(-3)) = (2,3)Again this point further rotated through 90° or we can say that rotation after 180° then the new point become A' =  (3,-2).Hence, The coordinate of A' after rotated through 180° is (3,-2)