Question

triangle abc has coordinates listed below.

points	x	y
a	-5	3
b	-8	1
c	-3	4

the triangle is first reflected over the y - axis and then reflected over the x - axis. what will the coordinates of point c be?
(3, 4)
(3, -4)
(-3, -4)
(-3, 4)

Explanation:

Step1: Reflect over y - axis

The rule for reflecting a point $(x,y)$ over the $y$-axis is $(-x,y)$. Point C has coordinates $(-3,4)$. After reflecting over the $y$-axis, the $x$-coordinate changes sign. So, $C'$ has coordinates $(3,4)$.

Step2: Reflect over x - axis

The rule for reflecting a point $(x,y)$ over the $x$-axis is $(x, -y)$. Since $C'$ has coordinates $(3,4)$, after reflecting over the $x$-axis, the $y$-coordinate changes sign. So, $C''$ has coordinates $(3,-4)$.

Answer:

B. $(3, - 4)$