Transformations on Coordinate Plane

Front

What is a transformation in the context of the coordinate plane?

Back

A transformation is an operation that moves or changes a shape in the coordinate plane, including translations, rotations, reflections, and dilations.

Front

Define translation in geometry.

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 effect of a 180-degree rotation on a point (x, y)?

Back

The effect of a 180-degree rotation on a point (x, y) is to transform it to (-x, -y).

Front

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

Back

To reflect a point (x, y) over the x-axis, the new coordinates become (x, -y).

Front

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

Back

To reflect a point (x, y) over the y-axis, the new coordinates become (-x, y).

Front

What is the rule for translating a point 5 units to the right?

Back

The rule for translating a point 5 units to the right is (x, y) → (x + 5, y).

Front

What is the rule for translating a point 2 units left and 3 units up?

Back

The rule for translating a point 2 units left and 3 units up is (x, y) → (x - 2, y + 3).

Front

What does it mean to rotate a shape 90 degrees counterclockwise around the origin?

Back

Rotating a shape 90 degrees counterclockwise around the origin transforms a point (x, y) to (-y, x).

Front

What is a reflection across the line y = x?

Back

A reflection across the line y = x transforms a point (x, y) to (y, x).

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.