Transformations on the Coordinate Plane TEST REVIEW

Front

What is a transformation in geometry?

Back

A transformation is an operation that moves or changes a shape to create a new shape. Common transformations include translations, rotations, reflections, and dilations.

Front

Define translation in the context of transformations.

Back

Translation is a transformation that slides a shape from one position to another without turning it or flipping it.

Front

What is a reflection in geometry?

Back

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

Front

Explain what a rotation is in geometric transformations.

Back

Rotation is a transformation that turns a shape 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 shape but keeps its proportions the same, defined by a scale factor.

Front

What is the rule for reflecting a point (x, y) across the y-axis?

Back

The rule is (x, y) → (-x, y).

Front

What is the rule for reflecting a point (x, y) across the x-axis?

Back

The rule is (x, y) → (x, -y).

Front

How do you rotate a point (x, y) 90° counterclockwise around the origin?

Back

The rule is (x, y) → (-y, x).

Front

How do you rotate a point (x, y) 180° around the origin?

Back

The rule is (x, y) → (-x, -y).

Front

What is the scale factor in dilation?

Back

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