5.6 Sequence 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 rotation in geometry?

Back

A rotation is a transformation that turns a shape around a fixed point, called the center of rotation, by a certain angle.

Front

Define reflection in geometry.

Back

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

Front

What is the effect of a 180° rotation on a shape?

Back

A 180° rotation turns a shape upside down, effectively reversing its orientation.

Front

Explain the concept of a sequence of transformations.

Back

A sequence of transformations is a series of two or more transformations applied one after the other to a shape.

Front

What is the result of applying a reflection followed by a translation?

Back

The result is a shape that is first flipped over a line and then moved to a new position.

Front

How does the order of transformations affect the final image?

Back

The order of transformations can significantly change the final position and orientation of the image.

Front

What is the purpose of using transformations in geometry?

Back

Transformations are used to analyze and understand the properties of shapes and their relationships.