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Understanding Graphical Transformations: Reflections and Rotations in the Coordinate Plane

In this lesson, students will explore the concepts of transformations by graphing various figures in the coordinate plane. Key transformations examined include reflections across the x-axis and y-axis, and rotations around a fixed point. Students will analyze how these transformations affect the size, shape, and orientation of figures. By engaging with graphical representations of reflections and rotations, learners will gain a deeper understanding of the properties and implications of these essential concepts in geometry.

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Understanding Graphical Transformations: Reflections and Rotations in the Coordinate Plane

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  1. STUDENTS WILL REPRESENT TRANSFORMATIONS BY GRAPHING IN THE COORDINATE PLANE. Reflection

  2. Reflection Reflection A transformation where a figure is flippedacross an axis (x-axis or y-axis)

  3. Reflection D’ B D B’ C C’ A A’ F’ F E E’ x F E This is the image Reflected a cross the y-axis. Now try to Reflected a cross the x-axis. C A B D y

  4. Reflection 1. How does reflecting a figure affect the size of the figure? 2.How does reflectinga figure affect the shape of the figure? 3.How does reflectinga figure affect the orientation of the figure?

  5. Rotation A transformation where a figure turns around a fixed point

  6. Rotation 360˚ Rotation B’ C 90˚ Rotation A C’ B A’ 180˚ Rotation 270˚ Rotation

  7. 90˚ Rotation 360˚ Rotation B C C A B A 180˚ Rotation 270˚ Rotation A A C B C B 1. How does rotating a figure affect the size of the figure? 2.How does rotatinga figure affect the shape of the figure? 3.How does rotatinga figure affect the orientation of the figure?

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