Question

Triangle XY Z has vertices X = (5, -1), Y = (1,4), and Z = (-8,0). Triangle X'Y'Z' is formed when triangle XY Z is reflected over the y-axis. What are the coordinates of triangle X'Y'Z'? Select one: 0 X = (-1,5), Y = (4.1) and Z = (0, -8) X'=(5.1). Y = (1.-4) and Z = (-8.0) O o X = (-5.-1). Y = (-1. 4) and Z = (80) o X = (-5. 1). Y = (-1. -4) and Z = (80)

Answer 1

Answer : (-5, -1), (-1,4), and (8, 0)

We are given the following Vertices

x = (5, -1)

Y = (1, 4)

Z = (-8, 0)

When you reflect a point across the y - axis, the y - coordinate remains the same, but the x - coordinate is transformed into its opposite sign. That is the sign of the x - coordinate will change.

(x , y) ------ (-x , y)

For X'

Coordinate X = (5, -1) , when transformed to X' it becomes

X' = (-5 , -1)

Y' = (-1, 4)

Z' = (-(-8) , 0)

Z' = (8, 0)

The answer is (-5, -1), (-1, 4), and (8, 0)