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

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.  

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