Question

You reflect triangle PQR, with coordinates P(-4, -4), Q(-1, -3), and R(-3, -1), across the x-axis, across the y-axis, and across the x-axis again to form triangle P′Q′R′.

After these reflections, the coordinates of P′ will be

Answer 1

p' ( 4 , -4 )

Explanation:

rotated across x-axis

x x

( ) ----> ( )

y -y

-4 -4

hence p ( ) -----> ( )

-4 4

rotated across y-axis

x -x

( ) ----> ( )

y y

-4 4

hence p ( ) -----> ( )

4 4

rotated across x-axis

x x

( ) ----> ( )

y -y

4 4

hence p ( ) -----> ( )

4 -4

Answer 2

P(4,-4), Q(1,-3), R(3,-1)

Explanation:

To reflect accross the x axis twice would do nothing

To reflect across the y axis just swap the signs of the x coordinates

Therefore the answer would be

(4,-4), (1,-3), (3,-1)