Rigid Motion Transformations

Front

What is a rigid motion transformation?

Back

A transformation that preserves the shape and size of a figure, including translations, rotations, and reflections.

Front

What is the rule for translating a point (x, y) 3 units up and 2 units to the right?

Back

(x, y) → (x + 2, y + 3)

Front

How do you translate triangle A'B'C' to triangle ABC if you need to move right two and down five?

Back

Translate right two and down five.

Front

When translating a point, what operation do you perform on the x and y coordinates?

Back

You add or subtract a number.

Front

If a figure is reflected over the y-axis, what happens to its coordinates?

Back

The x-coordinates change sign: (x, y) → (-x, y).

Front

True or False: A rigid motion preserves angle measures but not side lengths of a figure.

Back

False.

Front

What is the effect of a translation on a geometric figure?

Back

It moves the figure to a different location without changing its shape or size.

Front

What is the rule for reflecting a point (x, y) over the x-axis?

Back

(x, y) → (x, -y).

Front

What is the rule for rotating a point (x, y) 90 degrees counterclockwise around the origin?

Back

(x, y) → (-y, x).

Front

What is the difference between a translation and a reflection?

Back

A translation moves a figure without changing its orientation, while a reflection flips it over a line.