Question

The coordinates of point A on a coordinate grid are (−2, −3). Point A is reflected across the y-axis to obtain point B and across the x-axis to obtain point C. What are the coordinates of points B and C?

Answer 1

ANSWER

$B(2,-3)$

$C(-2,3)$

EXPLANATION

The given point has coordinates A(-2,-3).

The rule for the reflection across the y-axis is

$(x,y)\to(-x,y)$

We apply this rule to obtain the coordinates of B.

$A(-2,-3)\to B(--2,-3)$

Simplify the coordinates of B to get:

$A(-2,-3)\to B(2,-3)$

The rule for reflection across the x-axis is

$(x,y)\to (x,-y)$

When the point A(-2,-3) is reflected across the x-axis to obtain C, then the coordinates of C are:

$A(-2,-3)\to C(-2,--3)$

$A(-2,-3)\to C(-2,3)$