Question

(a) Reflect the point (9, 4) across the X-axis:

(b) Reflect the point (9, 4) across the y-axis:

Answer 1

(a) (9, -4)

(b) (-9, 4)

Explanation:

Reflection in the x-axis

When reflecting a point across the x-axis, the x-coordinate stays the same but the y-coordinate becomes its additive inverse.

Mapping rule: (x, y) → (x, -y)

Therefore:

• (9, 4) → (9, -4)

Reflection in the y-axis

When reflecting a point across the y-axis, the y-coordinate stays the same but the x-coordinate becomes its additive inverse.

Mapping rule: (x, y) → (-x, y)

Therefore:

• (9, 4) → (-9, 4)