Recognizing Basic Transformations

Before this, knowTranslation in a Direction Rotation Around a Point Reflection over a Line

Practice Harder problems from real math contests

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Basic Types of Transformation $\\$

There are 4 common basic types of transformation: Translation, Reflection, Rotation, Dilation (or resizing).

Translation, Reflection, Rotation $\\$

These 3 types of transformation only change the location of a shape. They do not change the size or shape of a shape.

Translation

Reflection

Rotation

Dilation $\\$

Dilation changes the size of a shape, not the shape.

A snowboarder slides straight down the hill. What kind of transformation has taken place?

Spot the idea in disguise

In a contest problem, this idea hides inside a situation you have not seen before. Learning to spot it is the real skill. These are real problems from the AMC 8, AMC 12 and AIME, the national math competitions for middle and high school students, each with a worked solution on LIVE by Po-Shen Loh.

Transformation problems 23 from AMC 8, AMC 12, AIME

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Recognizing Basic Transformations

Basic Types of Transformation \\

Translation, Reflection, Rotation \\

Dilation \\

Spot the idea in disguise

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Basic Types of Transformation $\\$

Translation, Reflection, Rotation $\\$

Dilation $\\$