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

The four main types of transformations are translation, rotation, reflection, and dilation.

Front

What does translation mean in geometry?

Back

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

Front

How can you describe a translation using coordinates?

Back

A translation can be described using a rule that shows how each point (x, y) of the shape moves to a new point (x', y').

Front

What is the translation rule for moving a shape 4 units to the right and 9 units down?

Back

The translation rule is (x, y) --> (x + 4, y - 9).

Front

What does the rule (x, y) --> (x + 3, y - 2) indicate about the movement of a shape?

Back

It indicates that the shape is moved 3 units to the right and 2 units down.

Front

What is a reflection in geometry?

Back

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

Front

What is the algebraic rule for reflecting a point across the x-axis?

Back

The algebraic rule is (x, y) --> (x, -y).

Front

How does a reflection across the y-axis change the coordinates of a point?

Back

A reflection across the y-axis changes the coordinates from (x, y) to (-x, y).

Front

What is the effect of translating a figure using the rule (x - 2, y + 6)?

Back

The figure will move 2 units left and 6 units up.