Angles are taken to angles of the same measure

What you'll learn

1. Verify experimentally that translating an angle produces an image angle with the same degree measure as the original
2. Verify experimentally that reflecting an angle across a line produces an image angle with the same degree measure as the original
3. Verify experimentally that rotating an angle about a point produces an image angle with the same degree measure as the original
4. Explain why angle preservation is a defining property of rigid motions and contrast this with non-rigid transformations that change angle measure
5. Apply the angle-preservation property to determine unknown angle measures in figures that have been transformed by a sequence of rigid motions

Prerequisites

• Verify experimentally the properties of rotations, reflections, and translations