Question

State the co-ordinates of the following points under reflection in the line y = 0;

(i) (-3, 0) (ii) (8, -5) (iii) (-1, -3)
$\left[4Marks\right]$

Answer 1

The reflection in the line $y=0$ implies the reflection in the $x-axis$, and we know when a point is reflected in the $x-axis$, the value of the abscissa remains the same, while the sign of the ordinate changes.
$\left[1Mark\right]$

(i) (-3 , 0)

The co-ordinates of the given point under reflection in the line
y = 0 is (-3 , 0)
$\left[1Mark\right]$

(ii) (8 , -5)

The co-ordinates of the given point under reflection in the line
y = 0 is (8 , 5)
$\left[1Mark\right]$

(iii) (-1 , -3)

The co-ordinates of the given point under reflection in the line
y = 0 is (-1 , 3)
$\left[1Mark\right]$