Identify 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 three main types of transformations?

Back

The three main types of transformations are translation (slide), rotation (turn), and reflection (flip).

Front

Define translation in geometry.

Back

Translation is a transformation that moves a shape a certain distance in a specified direction without changing its size or orientation.

Front

Define rotation in geometry.

Back

Rotation is a transformation that turns a shape around a fixed point, known as 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 of the original shape.

Front

What is the effect of reflecting a shape over the x-axis?

Back

Reflecting a shape over the x-axis changes the sign of the y-coordinates of the points of the shape.

Front

What is the effect of reflecting a shape over the y-axis?

Back

Reflecting a shape over the y-axis changes the sign of the x-coordinates of the points of the shape.

Front

What is a sequence of transformations?

Back

A sequence of transformations is a series of two or more transformations applied to a shape in a specific order.

Front

How does the order of transformations affect the final position of a shape?

Back

The order of transformations can significantly affect the final position and orientation of a shape; different sequences can lead to different results.

Front

What is a rotation of 90 degrees clockwise?

Back

A rotation of 90 degrees clockwise turns a shape around a point (usually the origin) to the right by a quarter turn.