Transformations

Front

What is a transformation in geometry?

Back

A transformation is an operation that moves or changes a shape in some way to create 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

What does it mean to translate a shape?

Back

To translate a shape means to slide it in a straight line from one position to another without changing its size, shape, or orientation.

Front

How do you describe a translation?

Back

A translation is described by the direction and distance the shape moves, such as '5 units right and 3 units down'.

Front

What is a reflection in geometry?

Back

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

Front

What is the line of reflection?

Back

The line of reflection is the line over which a shape is flipped during a reflection.

Front

What does it mean to rotate a shape?

Back

To rotate a shape means to turn it around a fixed point, called the center of rotation, by a certain angle.

Front

How do you describe a rotation?

Back

A rotation is described by the center of rotation, the angle of rotation, and the direction (clockwise or counterclockwise).

Front

What is dilation in geometry?

Back

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

Front

What is the scale factor in dilation?

Back

The scale factor is the ratio of the size of the new shape to the size of the original shape.