explain mediator and invariant point with examples
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Answer:
If the point P is on the line AB then clearly its image in AB is P itself. We say P is an invariant point for the axis of reflection AB. Thus, all the points lying on a line are invariant points for reflection in that line and no points lying outside the line will be an invariant point.
Step-by-step explanation:
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Answer:
If the point P is on the line AB then clearly its image in AB is P itself. We say P is an invariant point for the axis of reflection AB.
Thus, all the points lying on a line are invariant points for reflection in that line and no points lying outside the line will be an invariant point.
Solved examples on invariant points for reflection in a line:
1. Which of the following points (-2, 0), (0, -5), (3, -3) are invariant points when reflected in the x-axis?
We know that only those points which lie on the line are invariant points when reflected in the line. So, only those points are invariant which lie on the x-axis. Hence, the invariant points must have y-coordinate = 0. Therefore, only (-2, 0) is the invariant point.
Step-by-step explanation: