Reflections :)

Aim: How do we graph transformations that are reflections?

Line of Symmetry(Reflectional Symmetry):
             A figure has line of symmetry if a line can be drawn down the figure so that the figure divides into mirror images.

Examples:

                


Line of Reflection:
        A transformation that creates figures which are mirror images.
Examples:
  

Rules for a reflection in the:
x-axis (x,y)------------(x,-y)
y-axis(x,y)-------------(-x,y)

Examples:
(9,5);x-axis= (9,-5)
(-4,-3);x-axis=(-4,3)
X-axis Example:

(7,2);y-axis=(-7,2)
(-10,-15);y-axis=(10,-15)
Y-axis Example:

The reflection of the point (x, y) across the line y = x  is the point (y, x).       or      The reflection of the point (x, y) across the line y = -x  is the point (-y, -x).    or

:

Reflection of point over y=x:

Try this yourself:

5.

If a reflection in the line y = -x occurs, then the rule for this reflection is  _____.

Choose:

                                                                                                                                Answer: (x,y)-----(-y,-x)