Question

What is the reflection in the x-axis & what’s the reflection in line y=x?

Answer 1

a) (3, -4), (2, 4), (-5, -6)

b) (4, 3), (-4, 2), (6, -5)

Explanation:

a) Reflection in the x-axis negates the y-coordinate:

(x, y) ⇒ (x, -y)

(3, 4) ⇒ (3, -4)

(2, -4) ⇒ (2, 4)

(-5, 6) ⇒ (-5, -6)

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b) Reflection in the line y=x swaps the x- and y-coordinates:

(x, y) ⇒ (y, x)

(3, 4) ⇒ (4, 3)

(2, -4) ⇒ (-4, 2)

(-5, 6) ⇒ (6, -5)