Transformations

Translation, Rotation, Reflection, Dilation

What is a transformation?

A transformation is a geometric movement of a shape along the X or Y axis such as translating it over the X or Y axis, rotating it, reflecting it, and sometimes even dilating a shape

Translation

A translation or a slide is when you slide a shape over the X or Y axis causing it's coordinates to change. When you slide a figure over an axis neither it's shape or size change only the place that the figure is located.
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Transformation Vocabulary

Isometry - An isometry is a transformation of the plane that preserves length



Invariant - A figure or property that remains unchanged under a transformation of the plane is referred to as invariant. No variations have occurred


Opposite Transformation - An opposite transformation is a transformation that changes the orientation of a figure. Reflections and glide reflections are opposite

transformations



Orientation - Orientation refers to the arrangement of points, relative to one another, after a transformation has occurred


Position Vector - A position vector is a coordinate vector whose initial point is the origin. Any vector can be expressed as an equivalent position vector by translating the vector so that it originates at the origin.

Colin Dodds - Geometric Transformations (Math Song)
Gangnam Style Math (Transformation Style) Fun Learning Math!