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 reflection in geometry?

Back

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

Front

What does rotation mean in the context of transformations?

Back

Rotation is a transformation that turns a shape around a fixed point, called the center of rotation.

Front

What is the effect of reflecting a point across the x-axis?

Back

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

Front

What is the effect of reflecting a point across the y-axis?

Back

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

Front

How do you translate a point (x, y) 3 units right and 4 units up?

Back

To translate the point (x, y) 3 units right and 4 units up, the new coordinates will be (x + 3, y + 4).

Front

What is the result of a 180-degree rotation of a point (x, y)?

Back

A 180-degree rotation of a point (x, y) results in the point (-x, -y).

Front

What is the line of reflection?

Back

The line of reflection is the line over which a shape is reflected to create a mirror image.