Sequences of Transformations

Front

What is a transformation in geometry?

Back

A transformation is an operation that moves or changes a shape to create a new shape. Common transformations include translations, rotations, reflections, and dilations.

Front

Define translation in the context of transformations.

Back

Translation is a type of 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 rotation in geometry?

Back

A rotation is a transformation that turns a shape around a fixed point, known as the center of rotation, by a certain angle in a specific direction.

Front

Explain reflection in geometric transformations.

Back

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

Front

What is the purpose of a sequence of transformations?

Back

A sequence of transformations is used to describe the steps taken to move a shape from one position to another, often resulting in a new shape that is congruent or similar to the original.

Front

How do you identify a sequence of transformations?

Back

To identify a sequence of transformations, observe the changes in position, orientation, and size of the shape, and determine the order of transformations applied.

Front

What does it mean to map one shape onto another?

Back

Mapping one shape onto another means applying a series of transformations to the first shape so that it coincides with the second shape.

Front

What is the difference between a reflection and a rotation?

Back

A reflection flips a shape over a line, while a rotation turns a shape around a point by a certain angle.

Front

How can you determine the order of transformations?

Back

The order of transformations can be determined by analyzing the final position and orientation of the shape after each transformation is applied.

Front

What is a composite transformation?

Back

A composite transformation is a combination of two or more transformations applied to a shape in a specific order.