IA1.GR.A.1: Apply definitions of rotations, reflections, and translations to transform figures and use these transformations to verify congruence. a. Describe rotations, reflections, and translations as functions that take points in the plane as inputs and give corresponding points as outputs. b. Verify experimentally that rigid transformations preserve distance, angle measure, and parallelism, and use this understanding to justify congruence.

Apply definitions of rotations, reflections, and translations to transform figures and use these transformations to verify congruence. a. Describe rotations, reflections, and translations as functions that take points in the plane as inputs and give corresponding points as outputs. b. Verify experimentally that rigid transformations preserve distance, angle measure, and parallelism, and use this understanding to justify congruence.

Example Problems

The component form of vector

\vec{v}

is

\vec{v} = (2, 0)

.
Find

5\vec{v}

.

Point

B'(6, 2)

is the image of

B(1, -1)

under a translation.
What was the translation?

Point

M'(5, -3)

is the image of

M(2, 1)

under a translation.
What was the translation?

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