Transformations Geometry

Front

What is a transformation in geometry?

Back

A transformation in geometry is an operation that moves or changes a shape in some way to produce a new shape, called the image.

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 slides a figure from one position to another without turning it.

Front

What is rotation in geometry?

Back

Rotation is a transformation that turns a figure 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 figure over a line, creating a mirror image.

Front

What is dilation in geometry?

Back

Dilation is a transformation that changes the size of a figure by a scale factor, either enlarging or reducing it.

Front

How does a 90° clockwise rotation affect the coordinates of a point (x, y)?

Back

A 90° clockwise rotation transforms the point (x, y) to (y, -x).

Front

How does a 90° counterclockwise rotation affect the coordinates of a point (x, y)?

Back

A 90° counterclockwise rotation transforms the point (x, y) to (-y, x).

Front

What is the result of reflecting a point (x, y) across the x-axis?

Back

Reflecting a point (x, y) across the x-axis results in the point (x, -y).

Front

What is the result of reflecting a point (x, y) across the y-axis?

Back

Reflecting a point (x, y) across the y-axis results in the point (-x, y).