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 a given direction.

Front

What is a reflection?

Back

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

Front

Explain rotation in geometry.

Back

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

Front

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

Back

The effect of a 180-degree rotation on a point (x, y) is to transform it to (-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 will be (x, -y).

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 will be (-x, y).

Front

What is the result of translating the point (2, 3) 4 units right and 2 units down?

Back

The new coordinates will be (6, 1).

Front

Describe the transformation: (x, y) → (y, -x).

Back

This transformation represents a rotation of 90 degrees counterclockwise.