PLEASE HELP ASAP!!!!!
∆XYZ has vertices X(0, 3), Y(2, 0), and Z(4, 2). If you reflect ∆XYZ across the line x = 4, what will be the coordinates of the vertices of the image ∆X′Y′Z′?

A.) X′(4, 3), Y′(6, 0), and Z′(4, 2)


B.) X′(3, 0), Y′(0, 2), and Z′(2, 4)


C.) X′(4, 3), Y′(2, 0), and Z′(4, 2)


D.) X′(8, 3), Y′(6, 0), and Z′(4, 2)

PLEASE HELP ASAP XYZ has vertices X0 3 Y2 0 and Z4 2 If you reflect XYZ across the line x 4 what will be the coordinates of the vertices of the image XYZ A X4 3 class=

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Answer:

D

Step-by-step explanation

Since we are reflecting across the x axis, all of the y coordinates will remain the same. You find the distance away from the x = 4, double it, and add that value to x. So,

X' is now (8,3)

Y' is now  (6,0)

Z' is now (4,2) because its x was 0, and anything * 0 = 0 so it does not move.

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