Let's investigate translational symmetry and how it relates to other types of symmetry. As you investigate, be sure to write down your observations. After you are done, close the sketch without saving your changes!

An image has **Translational Symmetry** if it can be divided by straight
lines into a sequence of identical figures. Translational symmetry results
from moving a figure a certain distance in a certain direction also called
translating (moving) by a vector (length and direction).

An image has **Reflectional Symmetry** if there is at least one line
which splits the image in half so that one side is the mirror image of
the other. Reflectional symmetry is also called **line symmetry** or
**mirror symmetry** because there is a line in the figure where a mirror
could be placed, and the figure would look the same.

An image has **Rotational Symmetry** if there is a point in the image
that the image can be turned around a certain number of degrees and still
look the same.

1a) What happens to the green polygon when you move point S?

b) How are the black and green polygons related?

2a) What happens when the Blue Angle gets bigger or smaller?

b)How are the black and the blue polygons related?

3a) What happens when the Red Angle gets bigger or smaller?

b)How are the blue and the red polygons related?

4) What happens when the red and blue lines are parallel?

5) How are translation and reflection related?

6) What happens when the red and blue lines intersect?

7) How are reflection and rotation related?