1. Reflect P(6, -4) over the y-axis. - The reflection over the y-axis changes the x-coordinate sign: $ (x, y) \to (-x, y) $. - So, $ P(6, -4) \to P'(-6, -4) $. 2. Reflect Q(-2, 5) over y = x. - Reflection over the line $ y = x $ swaps coordinates: $ (x, y) \to (y, x) $. - So, $ Q(-2, 5) \to Q'(5, -2) $. 3. Reflect R(7, 3) over y = -x. - Reflection over $ y = -x $ swaps and negates coordinates: $ (x, y) \to (-y, -x) $. - So, $ R(7, 3) \to R'(-3, -7) $. 4. Reflect rectangle JKLM over the x-axis. - Reflection over the x-axis changes the y-coordinate sign: $ (x, y) \to (x, -y) $. - Given points: - $ J(-2, 1) \to J'(-2, -1) $ - $ K(2, 1) \to K'(2, -1) $ - $ L(2, 4) \to L'(2, -4) $ - $ M(-2, 4) \to M'(-2, -4) $ 5. Reflect triangle DEF over the y-axis. - Reflection over the y-axis changes the x-coordinate sign: $ (x, y) \to (-x, y) $. - Given points: - $ D(-3, 2) \to D'(3, 2) $ - $ E(0, 5) \to E'(0, 5) $ - $ F(2, 1) \to F'(-2, 1) $ Each reflection follows the rule for the specific axis or line, changing coordinates accordingly.