G.CO.A.2: Represent transformations in the plane using, e.g., transparencies and geometry software; describe transformations as functions that take points in the plane as inputs and give other points as outputs. Compare transformations that preserve distance and angle to those that do not (e.g., translation versus horizontal stretch).

Represent transformations in the plane using, e.g., transparencies and geometry software; describe transformations as functions that take points in the plane as inputs and give other points as outputs. Compare transformations that preserve distance and angle to those that do not (e.g., translation versus horizontal stretch).

Example Problems

The component form of vector

\vec{v}

is

\vec{v} = (2, 0)

.
Find

5\vec{v}

.

The component form of vector

\vec{v}

is

\vec{v} = (4, -6)

.
Find

0\vec{v}

.

Point

B'(6, 2)

is the image of

B(1, -1)

under a translation.
What was the translation?

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