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′?

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)

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step-by-step explanation: