Question

Find the coordinates of the image of the point $(5,-3)$ under (i) reflection in the x- axis (ii) reflection in the y- axis and (iii) reflection in the origin.

• A. $\left(i\right)(5,3)\left(ii\right)(-5,3),\left(iii\right)(-5,-3)$
• B. $\left(i\right)(5,3)\left(ii\right)(-5,-3),\left(iii\right)(-5,3)$
• C. $\left(i\right)(-5,3)\left(ii\right)(-5,-3),\left(iii\right)(5,3)$
• D. $\left(i\right)(-5,-3)\left(ii\right)(5,3),\left(iii\right)(-5,3)$

Answer 1

The correct option is B

$\left(i\right)(5,3)\left(ii\right)(-5,-3),\left(iii\right)(-5,3)$

i) When a point is reflected in the x axis, the sign of its ordinate changes. Hence, the coordinates are $(5,3)$.
ii) When a point is reflected in the y axis, the sign of its abscissa changes. Hence, the coordinates are $(-5,-3)$.
iii) When a point is reflected in the origin, the sign of its ordinate and abscissa both changes. Hence, the coordinates are $(-5,3)$.