Geometric Transformations

Front

What is a geometric transformation?

Back

A geometric transformation is a function that moves or changes a shape in a specific way, including translations, rotations, reflections, and dilations.

Front

What is a reflection in geometry?

Back

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

Front

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

Back

The rule is (x, y) --> (x, -y).

Front

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

Back

The rule is (x, y) --> (-x, y).

Front

What is translation in geometry?

Back

Translation is a transformation that moves every point of a figure the same distance in a specified direction.

Front

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

Back

The rule is (x, y) --> (x + 3, y + 2).

Front

What is a rotation in geometry?

Back

A rotation is a transformation that turns a figure around a fixed point, known as the center of rotation.

Front

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

Back

The rule is (x, y) --> (-y, x).

Front

What is dilation in geometry?

Back

Dilation is a transformation that enlarges or reduces a figure by a scale factor relative to a center point.

Front

What is the scale factor in dilation?

Back

The scale factor is a number that describes how much a figure is enlarged or reduced during dilation.