Question

On a coordinate plane, 2 trapezoids are shown. The first trapezoid has points A (negative 1, 0), B (0, 2), C (3, 2), and D (4, 0). The second trapezoid has points A prime (negative 1, 0), B prime (0, negative 2), C prime (3, negative 2), and D prime (4, 0).
What is the rule for the reflection?

ry-axis(x, y) → (–x, y)
ry-axis(x, y) → (x, –y)
rx-axis(x, y) → (–x, y)
rx-axis(x, y) → (x, –y)

Answer 1

Reflection across the x-axis.

Rule: rx-axis: (x, y) → (x, −y)

(Each point's x-value is unchanged, y-value is negated: B(0,2) → B'(0,−2), C(3,2) → C'(3,−2), A and D on the x-axis stay the same.)