# Performing a Translation In The Coordinate Plane

### This lesson illustrates how to perform translations in the coordinate plane using algebraic rules. It compares translations with compass and straightedge with translations using a tranlation vector with x and y components. The lesson extends the concept for congruence in triangles using the congruence theorems SSS, SAS, ASA, and CPCTC. You might use the MARKER TOOLS menu to help yourself to try to complete or predict in the coordinate plane provided at each corresponding slide the transformation to be performed. Then you may run the presentation and if you worked the proper way; they must overlap. If yours landed in a different location, then you may check the full presentation to figure out where you did your mistake.

Lesson's Content

Lesson's Glossary

Translation
Transformation that maps the preimage onto the image along a translation vector with components in x and y, or just in one or the other making the remaining 0 units.

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.

SSS, SAS, ASA, and CPCTC
Side-Side-Side, Side-Angle-Side, Angle-Side-Angle congruence theorems in triangles that compare 3 sets of corresponding matching parts in two triangles to prove that they are congruent. Once they have been proven congruent the remaining matching parts are also congruent by Corresponding Parts of Congruent Triangles are congruent.

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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