Question

Find the value of $a$ if reflection of the point $(1,-9)$ in the origin is $(-1,a)$.$\left[2Marks\right]$

Answer 1

Given: Reflection of the point $(1,-9)$ in the origin is $(-1,a).$

We know, when a point is reflected in the origin, the sign of its abscissa and ordinate changes.

$\therefore$ the reflection of $(1,-9)$ in the origin is $(-1,9)$
$\left[1Mark\right]$

Thus, $a=9.$
$\left[1Mark\right]$