Question

If we rotate the graph about O at an angle of 180 in anticlockwise direction, then the point of intersection of the diagonals is

Answer 1

The question is missing some data which does not help the question solved accurately. However let us understand the process with another figure.

• With reference to the attached figure, you can see a square in the first quadrant whose diagonals intersect at (3, 3).

• When the axes are rotated about O at an angle 180° in anti-clockwise direction, positive x-axis reaches the negative x-axis and thus the square is resettled in the third quadrant.

• We can see that the newly positioned square has its diagonals intersect at (- 3, - 3).

You can use the above steps to solve the correct question on your own now.

However, if the diagonals intersected at (- 3, 3), then after a 180°-rotation, they would intersect at (3, - 3).