translations, reflections, and rotations

Front

What is a translation in geometry?

Back

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

Front

What is the rule for translating a point (x, y) 5 units up and 7 units to the right?

Back

(x, y) --> (x + 7, y + 5)

Front

How do you reflect a point (x, y) over the y-axis?

Back

The reflection over the y-axis changes the x-coordinate: (x, y) --> (-x, y)

Front

What is the result of reflecting the point (3, 2) over the y-axis?

Back

(-3, 2)

Front

What is the algebraic rule for translating a point (x, y) 5 units right and 8 units down?

Back

(x, y) --> (x + 5, y - 8)

Front

What does a reflection across the x-axis do to a point (x, y)?

Back

It changes the y-coordinate: (x, y) --> (x, -y)

Front

Identify the transformation: A shape is flipped over the x-axis. What is this called?

Back

Reflection across the x-axis.

Front

What is a rotation in geometry?

Back

A rotation is a transformation that turns a shape around a fixed point, called the center of rotation.

Front

What is the result of a 180-degree rotation of the point (x, y) around the origin?

Back

(x, y) --> (-x, -y)

Front

What is the difference between a translation and a reflection?

Back

A translation moves a shape without changing its orientation, while a reflection flips it over a line.