 2.3: Reflections. What is a Reflection?  Reflection or flip is a transformation in which a figure is reflected on a line called the line of reflection.

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Presentation transcript:

 2.3: Reflections

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.

Identifying a Reflection  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. Tell whether the blue figure is a reflection of the red figure.

Practice No, it is a translation. Yes, the red figure can be flipped to form the blue figure. Tell whether the blue figure is a reflection of the red figure. Explain.

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:

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)

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.