Summary
With the help of this activity, we have learnt that:
1. Reflection of a point A (x, y) in x-axis is A’(x, -y) and midpoint of AA’ will lie on the x axis.
2. Reflection of a point A(x, y) in y-axis is A’’(-x, y) and midpoint of AA’ will lie on the y axis.
3. Reflection of a point A(x, y) in origin is A’’’(-x, -y) and midpoint is the origin itself.
4. Midpoint of a point A and it’s reflection in any line (A’) will lie upon on that line itself.
5. x coordinate will remain same if we reflect any point in a horizontal line.
6. x and y coordinates will interchange if we reflect a point in the line y=x ((x,y)→(y,x)).
7. Reflection of the point A(x,y) in the line y=-x will be A’(-y,-x).
