Sequences of 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 the same direction.

Front

What is a reflection in geometry?

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 dilation in geometry?

Back

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

Front

What does it mean to map a shape onto another shape?

Back

To map a shape onto another shape means to apply a sequence of transformations that results in the second shape being congruent to the first.

Front

What is the sequence of transformations?

Back

The sequence of transformations is the order in which multiple transformations are applied to a shape.

Front

What is the effect of performing a reflection followed by a translation?

Back

Performing a reflection followed by a translation will first create a mirror image of the shape and then move that image to a new location.

Front

How does a 180° rotation affect a shape?

Back

A 180° rotation turns a shape around a point, resulting in a shape that is upside down and in the opposite position.