Transformations Review

Front

What is a transformation in geometry?

Back

A transformation is an operation that moves or changes a shape in some way to produce a new shape, called the image.

Front

What are the four main types of transformations?

Back

The four main types of transformations are translations, reflections, rotations, and dilations.

Front

What is the rule for reflecting a point over the y-axis?

Back

The rule for reflecting a point (x, y) over the y-axis is (x, y) → (-x, y).

Front

What is the rule for translating a point?

Back

The rule for translating a point (x, y) is (x, y) → (x+a, y+b), where a and b are the horizontal and vertical shifts, respectively.

Front

What happens to a shape during a dilation with a scale factor less than one?

Back

A dilation with a scale factor less than one results in a reduction of the shape.

Front

What is the effect of a 180° rotation on the coordinates of a point?

Back

A 180° rotation transforms the point (x, y) to (-x, -y).

Front

What is the definition of congruent figures?

Back

Congruent figures are shapes that are identical in shape and size, meaning they can be superimposed on each other.

Front

What is the scale factor in a dilation?

Back

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

Front

What is the rule for reflecting a point over the x-axis?

Back

The rule for reflecting a point (x, y) over the x-axis is (x, y) → (x, -y).

Front

What is a rigid transformation?

Back

A rigid transformation is a transformation that preserves the shape and size of a figure, including translations, rotations, and reflections.