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, called the image.

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 a given 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 reflect across the x-axis?

Back

Reflecting across the x-axis means flipping a shape over the x-axis, changing the sign of the y-coordinates of its points.

Front

What does it mean to reflect across the y-axis?

Back

Reflecting across the y-axis means flipping a shape over the y-axis, changing the sign of the x-coordinates of its points.

Front

What is the effect of a 90-degree clockwise rotation?

Back

A 90-degree clockwise rotation turns a shape around the origin, moving points in a circular path to the right.

Front

What is the effect of a 90-degree counterclockwise rotation?

Back

A 90-degree counterclockwise rotation turns a shape around the origin, moving points in a circular path to the left.