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 is the rule for translating a point (x, y) by (a, b)?

Back

The rule for translating a point (x, y) by (a, b) is (x + a, y + b).

Front

What happens to the coordinates of a point when it is reflected over the x-axis?

Back

When a point (x, y) is reflected over the x-axis, its coordinates change to (x, -y).

Front

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

Back

The effect of a 90° clockwise rotation on the point (x, y) is (y, -x).

Front

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

Back

The effect of a 180° rotation on the point (x, y) is (-x, -y).

Front

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

Back

The rule for reflecting a point (x, y) over the y-axis is (-x, y).

Front

When translating a point, what operation is performed on the x and y coordinates?

Back

When translating a point, you add or subtract a number to/from the x and y coordinates.

Front

What is the rule for reflecting a point (x, y) over the line y = x?

Back

The rule for reflecting a point (x, y) over the line y = x is (y, x).

Front

What is the result of reflecting the point (3, 4) over the x-axis?

Back

The result of reflecting the point (3, 4) over the x-axis is (3, -4).

Front

What is the result of rotating the point (1, 2) 90° counterclockwise around the origin?

Back

The result of rotating the point (1, 2) 90° counterclockwise around the origin is (-2, 1).