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.

Front

What are the four main types of transformations?

Back

Translation, Reflection, Rotation, Dilation.

Front

What does translation mean in geometry?

Back

Translation means moving a shape from one position to another without changing its size, shape, or orientation.

Front

What is a reflection?

Back

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

Front

What is a rotation?

Back

A rotation is a transformation that turns a shape around a fixed point at a certain angle.

Front

What is dilation in geometry?

Back

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

Front

What does it mean for two shapes to be congruent?

Back

Two shapes are congruent if they have the same size and shape.

Front

How do you describe a translation of a shape?

Back

A translation can be described by how far and in which direction the shape moves, such as 'down 9, right 4'.

Front

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

Back

The y-coordinates of the points of the shape change sign, while the x-coordinates remain the same.

Front

What happens to a shape during a 90° clockwise rotation?

Back

The coordinates of each point (x, y) change to (y, -x).