# Reflection: an isometry (or rigid motion) in which a figure is flipped giving its image an opposite orientation.

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Reflection: an isometry (or rigid motion) in which a figure is flipped giving its image an opposite orientation.

Example 1: Reflect triangle GLQ across the x-axis. Then state the coordinates of the image. Then on the same coordinate plane reflect the ORIGINAL image across the y- axis. Reflected Across x-axis G = (3,4) G ’ =________ L = (1,2) L ’ = ________ Q = (4,-1) Q ’ =________ Reflected Across y-axis G = (3,4) G ’ =________ L = (1,2) L ’ = ________ Q = (4,-1) Q ’ =________

Example 2: Reflect the image across the line y = 1.

Example 3: Reflect the image with points F (2,2) W (2, 5) and K( 3, 3) across the line x= 3.

a) b) Example 4:

Example 5: a) Reflect point A(-2, 3) across the line y = x. What's the rule for reflection across the line y =x? b) Reflect point B( 2, 3) across the line y =- x. What's the rule for reflection across the line y = - x?

Example 6: Reflect the figure below across the line y = x.

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