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

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 90° clockwise rotation on a point (x, y)?

Back

The new coordinates will be (y, -x).

Front

What is the effect of a reflection across the x-axis on a point (x, y)?

Back

The new coordinates will be (x, -y).

Front

What is the effect of a reflection across the y-axis on a point (x, y)?

Back

The new coordinates will be (-x, y).

Front

How do you translate a point (x, y) by (a, b)?

Back

The new coordinates will be (x + a, y + b).

Front

What does a dilation transformation do?

Back

Dilation changes the size of a shape but keeps its proportions the same.