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A Translation and a Rotation

Explore

A quadrilateral has been translated by a vector and then rotated about a point by an angle. Drag the points that control the vector, the point of rotation, and the angle of rotation to explore the composition of transformations. Use the tests described in Chapter 1 to find out whether or not the composition of transformations could be formed by a single transformation.

Conjecture

Restate your conjecture regarding the composition of a translation and a rotation from the patty paper worksheet.