Question

What are the coordinates of A' and B' when AB is reflected in the y-axis? Show your work or explain how you got your answer.

Answer 1

Explanation:

What is the rule for a reflection across the Y axis? The rule for reflecting over the Y axis is to negate the value of the x-coordinate of each point, but leave the -value the same

Answer 2

A'(-2, 5)

B'(-6, 3)

Explanation:

When a point is reflected in the y-axis, the image is as far from the y-axis on the other side as the original point is on this side. That is, the y-axis is halfway between the original point and its image. The x-coordinate of a point measures how far from the y-axis it is, so reflection in the y-axis changes the sign of the x-coordinate:

(x, y) ⇒ (-x, y) . . . . . reflection in the y-axis

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A(2, 5) ⇒ A'(-2, 5)

B(6, 3) ⇒ B'(-6, 3)