Atrapezoid in quadrant iii rotates 180° clockwise about the origin. what effect does the rotation have on the signs of the coordinates? a) the signs change from negative to positive. b) the signs change from positive to negative. c) only the x-coordinate's sign changes from negative to positive. d) only the y-coordinate's sign changes from negative to positive.

A.The signs change from negative to positive.

Step-by-step explanation:

We are given that trapezoid in quadrant III rotates 180 degrees clockwise about the origin.

We have to find the effect of rotation on the sign of  coordinates .

We know that the transformation rule of rotation 180 degrees about the origin is given by

When a trapezoid lie in III quadrant then the coordinates of all four points are negative because in III quadrant x and y are both negative.

When the trapezoid rotates 180 degrees clockwise about the origin then by using the given rule the sign of coordinates from negative to positive.

Hence, option  A is true.