Unit 4 Transformations, 2022-23

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

Name the three main types of transformations.

Back

Translation, Reflection, Rotation.

Front

What is a translation?

Back

A translation moves every point of a shape the same distance in the same direction.

Front

What is a reflection?

Back

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

Front

What is a rotation?

Back

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

Front

How do you perform a reflection across the x-axis?

Back

To reflect a point (x, y) across the x-axis, the new point is (x, -y).

Front

How do you perform a reflection across the y-axis?

Back

To reflect a point (x, y) across the y-axis, the new point is (-x, y).

Front

What is the rule for rotating a point 90 degrees clockwise?

Back

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

Front

What is the rule for rotating a point 90 degrees counterclockwise?

Back

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

Front

If a point (x, y) is translated by (x+4, y-2), what is the new point?

Back

The new point is (x+4, y-2).