two Rigid Transformations

Front

What is a rigid transformation?

Back

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

Front

What is translation in geometry?

Back

A rigid transformation that slides a figure in a straight line from one position to another without changing its shape or size.

Front

What is the rule for a translation that moves a point (x, y) to (x + 2, y - 1)?

Back

The translation rule is (x + 2, y - 1).

Front

What is a rotation in geometry?

Back

A rigid transformation that turns a figure around a fixed point, called the center of rotation, by a certain angle.

Front

What is reflection in geometry?

Back

A rigid transformation that flips a figure over a line, creating a mirror image.

Front

What is the effect of a 90° clockwise rotation on a point (x, y)?

Back

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

Front

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

Back

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

Front

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

Back

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

Front

What is the measure of an angle in a triangle if the other two angles are 30° and 60°?

Back

The measure of the third angle is 90°.

Front

What is the sum of the interior angles of a triangle?

Back

The sum of the interior angles of a triangle is always 180°.