Transformations Review

Front

What is a transformation in geometry?

Back

A transformation is a mathematical operation that moves or changes a shape in some way on a coordinate plane.

Front

Define translation in the context of transformations.

Back

Translation is a type of transformation that slides a shape a certain distance in a specified direction without changing its size, shape, or orientation.

Front

What is the rule for translating a point (x, y) 4 units to the right and 6 units down?

Back

The rule is (x, y) → (x + 4, y - 6).

Front

What does the rule (x, y) → (-x, y) represent?

Back

This rule represents a reflection across the y-axis.

Front

What is the effect of the transformation (x, y) → (y, -x)?

Back

This transformation represents a rotation of 90 degrees counterclockwise about the origin.

Front

How do you describe a rotation of 180 degrees about the origin?

Back

The rule for a 180-degree rotation is (x, y) → (-x, -y).

Front

What is the difference between a rotation and a reflection?

Back

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

Front

What transformation does the rule (x, y) → (x - 5, y - 5) describe?

Back

This rule describes a translation that moves a shape 5 units left and 5 units down.

Front

What is the result of reflecting a point (3, 4) across the x-axis?

Back

The result is (3, -4).

Front

What is the transformation rule for a 90-degree clockwise rotation?

Back

The rule is (x, y) → (y, -x).