Translations and Reflections

Front

What is a translation in geometry?

Back

A translation is a transformation that moves every point of a shape the same distance in a specified direction.

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 pre-image in a transformation?

Back

The pre-image is the original figure before any transformation is applied.

Front

What is the image in a transformation?

Back

The image is the resulting figure after a transformation has been applied.

Front

How do you translate a point (x, y) 5 units right and 2 units down?

Back

The new coordinates will be (x + 5, y - 2).

Front

What coordinate is affected when translating a shape left or right?

Back

The x-coordinate is affected.

Front

What coordinate is affected when translating a shape up or down?

Back

The y-coordinate is affected.

Front

Write the translation rule for moving a shape 3 units up and 2 units left.

Back

(x, y) --> (x - 2, y + 3).

Front

If a shape is translated according to the rule (x + 4, y - 3), what direction and distance is it moved?

Back

The shape is moved 4 units to the right and 3 units down.

Front

What is the transformation rule for reflecting a point (x, y) over the x-axis?

Back

The new coordinates will be (x, -y).