Put your worksheets from last week into the exit slip bin if you didn’t turn them in yet.

Take out a compass and a protractor. Take a piece of patty paper from the front. Take a piece of graph paper from the front. Define “transformation” List any types of transformations you know.

Identify and create translations, rotations, and reflections of figures in the plane.

Apply concepts of reflectional, rotational, and translational symmetry.

Use problem solving skills.

By moving all the points of a geometric figure according to certain rules, you can create an image of the original figure.

This process is called transformation. If the image is congruent, the process is

called a rigid transformation.

If size and shape are not preserved, it is called a non-rigid transformation.

Translation is the simplest type of isometry. Trace a figure onto patty paper and slide it along a straight path without turning. Notice all points move the same distance along parallel paths to form its image. A translation also has a particular direction called the translations vector.

Translation Vector

Rotation is another type of isometry. In a rotation, all the points in the original figure rotate or turn an identical number of degrees. You can define a rotation by its center point, the number of degrees, and the direction.

Center of Rotation

Reflection is a type of isometry that produces a figure’s mirror image. If you draw a figure onto a piece of paper, place the edge of a mirror perpendicular to your paper and look at the figure in the mirror, you will see the reflected image of the figure. The line where the mirror is placed is called the line of reflection.

Mirr

or

Identify and create translations, rotations, and reflections of figures in the plane.

Apply concepts of reflectional, rotational, and translational symmetry.

Use problem solving skills.

1.

4. Identify the type(s) of symmetry.

1.

4. Identify the type(s) of symmetry.

http://www.youtube.com/watch?v=M4aM0fpS0IU