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2.3: Reflections

This interactive lesson explains reflections in geometry, covering concepts, examples, and practice exercises. Learn how to identify, draw, and reflect figures on coordinate planes.

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2.3: Reflections

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  1. 2.3: Reflections

  2. What is a Reflection? • Reflection or flip is a transformation in which a figure is reflected on a line called the line of reflection. • A reflection creates mirror image of the original figure.

  3. Identifying a Reflection Tell whether the blue figure is a reflection of the red figure. • If the red figure were flipped, it would point to the left. • The blue figure is not a reflection of the red figure. • The red figure can be flipped to form the blue figure • The blue figure is a reflection of the red figure.

  4. Practice Tell whether the blue figure is a reflection of the red figure. Explain.

  5. Reflections in the Coordinate Plane • To reflect a figure in the x-axis, take the opposite of the y-coordinate. • To reflect a figure in the y-axis, take the opposite of the x-coordinate. • Reflection in x-axis: • Reflection in y-axis:

  6. Reflecting a Figure in the X-Axis • The verticies of a triangle are A(-1,1), B(-1,3), and C(6,3). Draw the figure and its reflection in the x-axis. What are the coordinates of the image? The coordinates of the image are A’(-1,-1), B’(-1,-3), and C’(6,-3)

  7. Reflecting a Figure in the Y-Axis • The verticies of a quadrilateral are P(-2,5), Q(-1,-1), R(-4,2) and S(-4,4). Draw the figure and its reflection in the y-axis.

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