Question

Pentagon VWXYZ is shown on the coordinate grid. A student reflected pentagon VWXYZ across the y-axis to create pentagon V'W'X'Y'Z'. Which rule describes this transformation? *

(x, y) --> (-x , y)
(x, y) --> (x , y + 8)
(x, y) --> (-y , x)
(x, y) --> (x , -y)

Answer 1

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

Explanation:

When reflecting across the y-axis, you will want to switch the sign of the x-coordinate. If the x-coordinate is positive, you will want to switch it to negative and vice versa.

Examples:

(3,5) --> (-3,5)

(-6,-2) --> (6,-2)

~

If you are going to reflect across the x-axis, you will change the y-coordinate, so it is the opposite of reflecting across the y-axis.

Answer 2

Answer: (x, y) —> (-x, y)

Explanation:

This is because the translation rule for reflection across the y-axis is (x, y) —> (-x, y)