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?