Definitions
Transformations
Symmetry
Proof by Transformation
Slopes & Lines
100
What is a rigid transformation?
a transformation of the plane that preserves length and angle measure.
100
Draw all lines of symmetry on the figure
200
What is a translation?
A translation of a set of points in a plane locates points at the same distance and direction along lines that are parallel to each other.
300
What is a rotation?
A rotation of a set of points in a plane locates points in the same direction along concentric circles and through the same angle of rotation around the center of rotation.
300
Draw all lines of symmetry and rotational symmetry angles.
(draw from each vertex, should be 5 lines of symmetry)
72, 144, 216, 288, 360
400
What is a reflection?
A reflection of a set of points in a plane locates points across a line of reflection so that the line of reflection is a perpendicular bisector of each line segment connecting corresponding pre-image and image points.
500
Find the rotational symmetry angles for a regular dodecagon.
30,60,90,120,150,180,210,240,270,300,330,360