Transformations on the Coordinate Plane

Front

What is a transformation in 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 the context of transformations.

Back

Translation is a transformation that slides a figure in a straight line from one position to another without changing its shape, size, or orientation.

Front

What is a reflection in the coordinate plane?

Back

Reflection is a transformation that flips a figure over a line, creating a mirror image of the original figure.

Front

Explain rotation in the context of transformations.

Back

Rotation is a transformation that turns a figure around a fixed point, known as the center of rotation, by a certain angle.

Front

What is dilation in geometry?

Back

Dilation is a transformation that changes the size of a figure by a scale factor, either enlarging or reducing it, while maintaining its shape.

Front

What is the rule for a 90° counterclockwise rotation about the origin?

Back

The rule is (x, y) → (-y, x).

Front

What is the rule for a 90° clockwise rotation about the origin?

Back

The rule is (x, y) → (y, -x).

Front

How do you represent a dilation with a scale factor of 2?

Back

The algebraic representation is (x, y) → (2x, 2y).

Front

What is the scale factor in a dilation?

Back

The scale factor is a number that describes how much a figure is enlarged or reduced during a dilation.

Front

If a point (3, 4) is translated 5 units to the right and 2 units up, what is the new position?

Back

The new position is (8, 6).