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Question
- what will be the rotation of a point on origin (0,0) when rotated 180 degrees? shifts to quadrant iii shifts to quadrant ii shifts to quadrant i the point remains the same
Brief Explanations
When a point is at the origin \((0,0)\), rotating it by any degree (including \(180^{\circ}\)) around the origin does not change its position. Rotation of a point \((x,y)\) around the origin by \(180^{\circ}\) is given by the transformation \((x,y)\to(-x,-y)\). For the origin \((0,0)\), \(- 0=0\) and \(-0 = 0\). So, \((0,0)\to(0,0)\).
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The point remains the same