Geometry 1 - Rigid Transformations

Front

What is a rigid transformation?

Back

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

Front

What happens to the coordinates of a point (x, y) when it is reflected across the x-axis?

Back

The coordinates become (x, -y).

Front

What happens to the coordinates of a point (x, y) when it is reflected across the y-axis?

Back

The coordinates become (-x, y).

Front

What is the result of rotating a point (x, y) 90° counterclockwise about the origin?

Back

The coordinates become (-y, x).

Front

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

Back

The coordinates become (-x, -y).

Front

What is the result of translating a point (x, y) 5 units left and 1 unit up?

Back

The new coordinates are (x - 5, y + 1).

Front

What is the rule for a translation?

Back

A translation involves adding or subtracting a number to/from the x and y coordinates.

Front

What is the effect of a reflection across the line y = x on the coordinates (x, y)?

Back

The coordinates become (y, x).

Front

What is the effect of a reflection across the line x = 2 on the coordinates (x, y)?

Back

The new x-coordinate becomes 4 - x, while the y-coordinate remains the same.

Front

What is the difference between a rotation and a reflection?

Back

A rotation turns a figure around a point, while a reflection flips a figure over a line.