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P and Q have co-ordinates (-2, 3) and (5...

P and Q have co-ordinates (-2, 3) and (5, 4) respectively. Reflect P in the x-axis to P' and Q in the y-axis to Q'. State the co-ordinates of P' and 'Q .

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To solve the problem, we need to reflect the points P and Q across the specified axes and find the coordinates of the reflected points P' and Q'. ### Step-by-Step Solution: 1. **Identify the coordinates of points P and Q:** - Point P has coordinates (-2, 3). - Point Q has coordinates (5, 4). 2. **Reflect point P in the x-axis:** - The rule for reflecting a point (x, y) in the x-axis is to keep the x-coordinate the same and change the sign of the y-coordinate. - Therefore, the reflection of P (-2, 3) in the x-axis is: \[ P' = (-2, -3) \] 3. **Reflect point Q in the y-axis:** - The rule for reflecting a point (x, y) in the y-axis is to change the sign of the x-coordinate while keeping the y-coordinate the same. - Therefore, the reflection of Q (5, 4) in the y-axis is: \[ Q' = (-5, 4) \] 4. **State the coordinates of P' and Q':** - The coordinates of P' are (-2, -3). - The coordinates of Q' are (-5, 4). ### Final Answer: - The coordinates of P' are (-2, -3). - The coordinates of Q' are (-5, 4). ---
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