Question

select the correct answer.

quadrilateral abcd is reflected across the \\(x\\)-axis and then reflect across the \\(y\\)-axis to form quadrilateral abcd. if the coordinates of vertex a are (-7, 3), what are the coordinates of vertex a?

(7, 3)
(-7, -3)
(7, -3)
(-7, 3)
(3, 7)

Explanation:

Identify the initial coordinates

Using the Coordinate Transformations knowledge point

$$ A = (-7, 3) $$

Apply reflection across the x-axis

Using the Coordinate Transformations knowledge point

$$ (x, y) \to (x, -y) $$

$$ A_1 = (-7, -3) $$

Apply reflection across the y-axis

Using the Coordinate Transformations knowledge point

$$ (x, y) \to (-x, y) $$

$$ A' = (7, -3) $$

Answer:

• (7, 3)
• (-7, -3)
• (7, -3) (Correct answer)
• (-7, 3)
• (3, 7)