Question

The point A (3, 4) is reflected over the line x = 2, and then is reflected over the line x = -4. What are the coordinates of A'?

(1, 2)
(9, 4)
(-9, 4)
(1, 4)

Answer 1

(- 9, 4)

Explanation:

A(3, 4) is 1 unit to the right of x = 2

Thus it's reflection will be 1 unit to the left of x = 2, that is

A(3, 4 ) → A'(1, 4) ← y- coordinate remains unchanged

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A'(1, 4 ) is 5 units to the right of x = - 4

Thus it's reflection will be 5 units to the left of x = - 4

A'(1, 4) → A''(- 9, 4 )

Under the 2 parallel reflections

A(3, 4) → A''(- 9, 4 )