Question

Match each description to its example.

1. (2, -3) → (-2, -3) not a reflection

2. (2, -3) → (-3, 2) reflection across the y-axis

3. (2, -3) → (-2, 3) reflection across the x-axis

4. (2, -3) → (2, 3) reflection across both axes

Answer 1

if we have the point (x, y), a reflection over the x-axis give us the point (x, -y)

if we have the point (x, y), a reflection over the y-axis give us the point (-x, y)

if we have the point (x, y), a reflection across both axes give us the point (-x, -y)

1. (2, -3) → (-2, -3) ------- reflection across the y-axis

2. (2, -3) → (-3, 2) -------- not a reflection

3. (2, -3) → (-2, 3) ------ reflection across both axes

4. (2, -3) → (2, 3) ----- reflection across the x-axis