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?

Back

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

Front

What does rotation mean in geometry?

Back

Rotation is a transformation that turns a shape around a fixed point, called the center of rotation.

Front

What is the effect of a reflection across the y-axis?

Back

A reflection across the y-axis flips the shape horizontally, changing the sign of the x-coordinates.

Front

How does a reflection across the x-axis affect a shape?

Back

A reflection across the x-axis flips the shape vertically, changing the sign of the y-coordinates.

Front

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

Back

The result is a shape that has been moved and then flipped over a line.

Front

What is the difference between a rotation and a reflection?

Back

A rotation turns a shape around a point, while a reflection flips it over a line.

Front

What is a dilation in geometry?

Back

Dilation is a transformation that changes the size of a shape but keeps its proportions the same.