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, 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

What is a translation?

Back

A translation is a transformation that slides a shape in a straight line from one position to another without changing its size, shape, or orientation.

Front

What is a reflection?

Back

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

Front

What is a rotation?

Back

A rotation is a transformation that turns a shape 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 shape but keeps its proportions the same, using a scale factor.

Front

How do you reflect a point over the x-axis?

Back

To reflect a point (x, y) over the x-axis, the new coordinates will be (x, -y).

Front

How do you rotate a point 90 degrees counterclockwise about the origin?

Back

To rotate a point (x, y) 90 degrees counterclockwise about the origin, the new coordinates will be (-y, x).

Front

What is line symmetry?

Back

Line symmetry occurs when a shape can be divided into two identical halves that are mirror images of each other.

Front

What is rotational symmetry?

Back

Rotational symmetry is when a shape can be rotated around a center point and still look the same at certain angles.