Question

Point JJ is located at (5,-3)(5,−3) on the coordinate plane. Point JJ is reflected over the yy-axis to create point J'J ′ . Point J'J ′ is then reflected over the xx-axis to create point J''J ′′ . What ordered pair describes the location of J''?J ′′ ?

Answer 1

Answer:

$J" = (-5,3)$

Step-by-step explanation:

Given

$J = (5,-3)$

Reflections: over y and x axis to create J"

Required

Determine J"

When reflected over y axis:

$J'(x,y) = J(-x,y)$

We have that:

$J = (5,-3)$

So:

$J(-x,y) = (-5,-3)$

Hence

$J' = (-5,-3)$

When reflected over x axis:

$J"(x,y) = J'(x,-y)$

We have that:

$J' = (-5,-3)$

So:

$J(x,-y) = (-5,3)$

Hence

$J" = (-5,3)$