Select the correct answer. 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′? ( 3, -2) (-3, 2) (-2, 3) (-3, -2)

When you rotate a point 180 degrees around the origin, the point values will be transformed in this way:

The x value is -3, and the y value is 2. In this rotation, the x value becomes positive, and the y value becomes negative.

The new x value will be 3, and the new y value will be -2. The answer is (3, -2).

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)

Step-by-step explanation:

Hope this helps if not sorry

x = 3 ± √(5+y)