Question

Based on the given points and the coordinates of their images, investigate the line of reflection for each pair.

1. (5,-7) to (-5,7)

2. (4,-8) to (-4,-8)

3. (4,2) to (4,-2)

4. (0,6) to (0,6)
   $\left[4Marks\right]$

Answer 1

1.
(5, -7) to (-5, 7), here both abscissa and ordinate are changing their signs, this happens when a point is reflected in origin.
$\left[1Mark\right]$

2.
(4, -8) to (-4, -8), here only sign of abscissa is changed. This is possible when a point is reflected in y-axis, i.e., in the line x = 0.$\left[1Mark\right]$

3.
(4, 2) to (4, -2), here only sign of ordinate is changed. This implies point is reflected in x-axis, i.e., in the line y = 0. $\left[1Mark\right]$

4.
(0, 6) to (0, 6), here image of a point is the point itself, i.e., it is invariant point and is reflected in y-axis, i.e., in the line x = 0..$\left[1Mark\right]$