Og Flag this Question 14)
The vertices of AABC are A(-4,4), B(-2,5), and C(-5,2).
If AABC is reflected across the line y-axis to produce the
image AA'B'C', what are the coordinates of each of the
vertices of AA'B'C' ?

Given:

The vertices of ΔABC are A(-4,4), B(-2,5), and C(-5,2).

The triangle ABC is reflected across the line y-axis to produce the image ΔA'B'C'.

To find:

The coordinates of ΔA'B'C'.

Solution:

If a figure is reflected across the y-axis, then

Using this rule, we get

Therefore, the vertices of the ΔA'B'C' are A'(4,4), B'(2,5) and C'(5,2).

it would be 6xy and -16xy.

x = -3

y = -18

step-by-step explanation:

to solve by substitution, substitute one variable and solve for the other. then substitute again to find the remaining variable.

x-1/3(3x-9) = -3 since y=3x-9 substittute y.

x-1/3(3x-9)=-3

x + x +3 = -3

2x+3=-3

2x+3-3= -3-3

2x=-6

x=-3

substitute again into y=3x-9

y=3(-3)-9

y=-9-9

y=-18