Transformations

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.

Front

What are the four main types of transformations?

Back

The four main types of transformations are translation, rotation, reflection, and dilation.

Front

What is a reflection in geometry?

Back

A reflection is a transformation that flips a figure over a line, creating a mirror image.

Front

How do you reflect a point over the y-axis?

Back

To reflect a point (x, y) over the y-axis, change the sign of the x-coordinate: the image is (-x, y).

Front

What is a rotation in geometry?

Back

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

Front

What does a 180-degree rotation about the origin do to a point (x, y)?

Back

A 180-degree rotation about the origin transforms the point (x, y) to (-x, -y).

Front

What is a dilation in geometry?

Back

A dilation is a transformation that changes the size of a figure but not its shape, using a scale factor.

Front

How do you find the scale factor of a dilation?

Back

The scale factor is found by dividing the length of a side of the image by the length of the corresponding side of the original figure.

Front

What does it mean for two figures to be similar?

Back

Two figures are similar if they have the same shape but may differ in size; corresponding angles are congruent and corresponding sides are proportional.

Front

What is the relationship between angles in similar figures?

Back

All corresponding angles in similar figures are congruent.