Math 2 Unit 1 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 does a translation involve?

Back

A translation involves sliding a figure in a straight line from one position to another without changing its shape or orientation.

Front

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

Back

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

Front

What is the effect of a 180-degree rotation on a point (x, y)?

Back

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

Front

What is the effect of a 270-degree clockwise rotation on a point (x, y)?

Back

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

Front

What does it mean to reflect a figure over the x-axis?

Back

To reflect over the x-axis, the y-coordinates of the points are inverted, changing (x, y) to (x, -y).

Front

What does it mean to reflect a figure over the y-axis?

Back

To reflect over the y-axis, the x-coordinates of the points are inverted, changing (x, y) to (-x, y).

Front

What is a directed line segment?

Back

A line segment that has a specific direction indicated by an arrow at one end.

Front

What is the line of symmetry?

Back

A line that divides a figure into two mirror-image halves.

Front

How do you describe a translation of (x, y) to (x + 2, y - 3)?

Back

This is a translation 2 units to the right and 3 units down.