V2 3-1 Rigid Motions: Reflections, Translations, and Rotations

Front

What is a translation in geometry?

Back

A translation is a transformation that moves every point of a figure the same distance in the same direction.

Front

Describe the transformation: (x, y) → (x+3, y).

Back

Translation 3 units to the right.

Front

What is the result of rotating a point (x, y) 180° about the origin?

Back

The new coordinates will be (-x, -y).

Front

If a triangle is rotated 270° counterclockwise about the origin, what is the transformation rule?

Back

(x, y) → (y, -x).

Front

What is the angle of rotation for a 270° counterclockwise rotation?

Back

270°.

Front

Identify the transformation from ABC to A'B'C' if the coordinates change from (x, y) to (x+8, y+4).

Back

Translation 8 units to the right and 4 units up.

Front

What are rigid motions in geometry?

Back

Rigid motions are transformations that preserve distance and angle measures, including translations, rotations, and reflections.

Front

What is the effect of a reflection over the x-axis on the point (x, y)?

Back

The new coordinates will be (x, -y).

Front

What is the effect of a reflection over the y-axis on the point (x, y)?

Back

The new coordinates will be (-x, y).

Front

How do you rotate a point (x, y) 90° counterclockwise about the origin?

Back

The new coordinates will be (-y, x).