1. Reflect point P(6, -4) over the y-axis. - The reflection rule over the y-axis is: $ (x, y) \to (-x, y) $. - Applying this to P: $ (6, -4) \to (-6, -4) $. 2. Reflect point Q(-2, 5) over the line $ y = x $. - The reflection rule over $ y = x $ is: $ (x, y) \to (y, x) $. - Applying this to Q: $ (-2, 5) \to (5, -2) $. 3. Reflect point R(7, 3) over the line $ y = -x $. - The reflection rule over $ y = -x $ is: $ (x, y) \to (-y, -x) $. - Applying this to R: $ (7, 3) \to (-3, -7) $. 4. Reflect rectangle JKLM over the x-axis. - Points: J(-2, 1), K(2, 1), L(2, 4), M(-2, 4). - Reflection rule over x-axis: $ (x, y) \to (x, -y) $. - Applying to each vertex: - J: $ (-2, 1) \to (-2, -1) $ - K: $ (2, 1) \to (2, -1) $ - L: $ (2, 4) \to (2, -4) $ - M: $ (-2, 4) \to (-2, -4) $ 5. Reflect triangle DEF over the y-axis. - Points: D(-3, 2), E(0, 5), F(2, 1). - Reflection rule over y-axis: $ (x, y) \to (-x, y) $. - Applying to each vertex: - D: $ (-3, 2) \to (3, 2) $ - E: $ (0, 5) \to (0, 5) $ - F: $ (2, 1) \to (-2, 1) $ Each reflection follows the standard coordinate transformation rules for reflections over axes and lines.