Which graph shows the image of a figure after a rotation of 180 around the origin?




Answer:
Option 1 is the correct option.
Step-by-step explanation:
In this question we have to identify the graph which shows the image of a figure after a rotation of 180° around the origin.
In figure one we connect the point A' plotted in second quadrant to the origin by a straight line and then we rotate this line by 180° we get a new point A in fourth quadrant. Similarly all the points B',C' and D' are rotated by 180° to give B, C and D.
Therefore figure 1 shows image with a rotation of 180°.
Similarly when we check all the figures we find all the images doesn't show the rotation of 180°.
So Option 1 is the answer.