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, such as translation, rotation, reflection, or dilation.

Front

Define translation in geometric transformations.

Back

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

Front

What does reflection mean in geometry?

Back

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

Front

Explain rotation in geometric transformations.

Back

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

Front

What is dilation in geometry?

Back

Dilation is a transformation that changes the size of a figure but not its shape, by a scale factor.

Front

How do you reflect a point across the y-axis?

Back

To reflect a point (x, y) across the y-axis, the new coordinates become (-x, y).

Front

How do you reflect a point across the x-axis?

Back

To reflect a point (x, y) across the x-axis, the new coordinates become (x, -y).

Front

What is the algebraic representation of a reflection across the line y = -x?

Back

The algebraic representation is (x, y) -> (-y, -x).

Front

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

Back

The new coordinates after a 90-degree clockwise rotation are (y, -x).

Front

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

Back

The new coordinates after a 90-degree counterclockwise rotation are (-y, x).