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′?

Answer 1

the correct answer is (3, -2)

Explanation:

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Answer 2

The coordinate of A' after rotated through 180° is (3,-2)

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)