Reflections.

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Presentation transcript:

Reflections

Reflection Mirror image over the x axis or the y axis

Reflection Size does not change, shape may or may not change in orientation.

Reflected over y axis

Reflected over x axis

Reflected over y axis y coordinates stay the same

Reflected over y axis x coordinates are opposite

Reflected over x axis

Reflected over x axis x coordinates stay the same

Reflected over x axis y coordinates are opposite

Reflect over y axis

Reflect over x axis

A B C D

This Guy is a Jerk!

What do you notice about your new coordinates? If reflecting over the y axis, the y coordinates will stay the same and the x coordinates will be opposite The same is true for reflecting over the x axis. The x coordinates will stay the same and the y coordinates will be opposite.

Write the coordinates of the new shape reflected over the x axis Original Shape: A (-2, 5) B (-5, 5) C (-3, 2) Reflected Shape A’ ( , ) B’ ( , ) C’ ( , )

Write the coordinates of the new shape reflected over the y axis Original Shape: A (-2, 5) B (-5, 5) C (-3, 2) Reflected Shape A’ ( , ) B’ ( , ) C’ ( , )

What if the shape is located on the line of reflection?

Reflect over the y axis

Reflect over the x axis

Reflecting Over Other Lines x = 4 Note: When reflecting over a line that is not the x or y axis, we cannot use the opposite coordinate rule.

Reflecting Over Other Lines y = -2 Note: When reflecting over a line that is not the x or y axis, we cannot use the opposite coordinate rule.

Closure What is the difference between a translation and a reflection?

Closure Is the resulting transformation of a shape similar or congruent?