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?
Accepted Solution
A:
ANSWER[tex]B(2,-3)[/tex][tex]C(-2,3)[/tex]EXPLANATIONThe given point has coordinates A(-2,-3).The rule for the reflection across the y-axis is [tex](x,y)\to(-x,y)[/tex]We apply this rule to obtain the coordinates of B.[tex]A(-2,-3)\to B(--2,-3)[/tex]Simplify the coordinates of B to get:[tex]A(-2,-3)\to B(2,-3)[/tex]The rule for reflection across the x-axis is[tex](x,y)\to (x,-y)[/tex]When the point A(-2,-3) is reflected across the x-axis to obtain C, then the coordinates of C are:[tex]A(-2,-3)\to C(-2,--3)[/tex][tex]A(-2,-3)\to C(-2,3)[/tex]