### This lesson illustrates how to perform Reflections in the coordinate plane using algebraic rules. It compares reflections with compass and straightedge with reflections along an axis of reflection x-axis or y-axis. Have you wondered to imagine how is it that in movies they show you symmetric objects like a sword (symmetric along the longitudinal axis). Modern computers may perform this millions of times in a blink of an eye. These are the animations used in many of the movies you watch. Try to use the MARKER TOOLS menu to predict the landing position for the polygons to be reflected. Try to use the reflection algebraic rules. Then verify your reflection is in the same spot as the one of the example. Should that not be the case, then study the lesson previous slides to try to clarify the reason for they not overlaping.

** Lesson's Content **

** Lesson's Glossary **

**Reflection**

Transformation that maps the preimage onto the image along a reflection axis in x-axis or y-axis.

**Coordinate Plane **

The set of all points in a reference coordinate system that uses x-axis (horizontal) and y-axis (vertical) to locate points for graphs and figures.

**image **

Figure that has been transformated (mapped) through a translation, reflection, or rotation.

**pre-image **

Figure that is going to be mapped through a transformation (translation, reflection, or rotation.)

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