Subjects geometry

Trapezoid Reflection 754B5D

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1. The problem asks to identify the transformation of trapezoid LMNO to trapezoid L'M'N'O'. 2. Given that the points L, M, N, O are reflected to L', M', N', O' respectively below the x-axis, this suggests a reflection. 3. The reflection over the x-axis changes the sign of the y-coordinates of each point while keeping the x-coordinates the same. 4. The formula for reflection over the x-axis is: $$ (x, y) \to (x, -y) $$ 5. Since the image trapezoid is below the x-axis and the original is above, and the x-coordinates remain unchanged, this confirms the reflection is over the x-axis. 6. Therefore, the transformation is a reflection over the x-axis. **Final answer:** B reflection over the x-axis