Transformations

Front

What is a transformation in geometry?

Back

A transformation is a function that maps a geometric figure onto a new figure, changing its position, size, or orientation.

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 figure the same distance in the same direction.

Front

What is reflection in geometry?

Back

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

Front

Explain 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

What is dilation in geometry?

Back

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

Front

What does it mean for a shape to have symmetry?

Back

A shape has symmetry if it can be divided into two identical parts that are mirror images of each other.

Front

What is the line of symmetry?

Back

The line of symmetry is a line that divides a shape into two identical halves.

Front

How can you identify a translation?

Back

A translation can be identified by the same distance and direction being applied to all points of a figure.

Front

What is the effect of a 90° counterclockwise rotation on a point (x, y)?

Back

The effect of a 90° counterclockwise rotation on a point (x, y) is to move it to the point (-y, x).