compositions of transformations

Front

What is a transformation in geometry?

Back

A transformation is an operation that moves or changes a shape in some way to produce a new shape.

Front

What are the four main types of transformations?

Back

The four main types of transformations are translation, rotation, reflection, and dilation.

Front

Define translation in geometry.

Back

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

Front

What is a rotation?

Back

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

Front

Explain reflection in geometry.

Back

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

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).

Front

Define dilation in geometry.

Back

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

Front

What is a composition of transformations?

Back

A composition of transformations is when two or more transformations are combined to produce a single transformation.

Front

How do you perform a reflection followed by a rotation?

Back

To perform a reflection followed by a rotation, first reflect the shape over the specified line, then rotate the resulting shape around the center of rotation.