Transformations review CP

Front

What is a transformation in geometry?

Back

A transformation in geometry 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

Define rotation in geometry.

Back

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

Front

What does it mean for two figures to be congruent?

Back

Two figures are congruent if they have the same shape and size, meaning they can be made to coincide by a series of transformations.

Front

What does it mean for two figures to be similar?

Back

Two figures are similar if they have the same shape but not necessarily the same size, meaning their corresponding angles are equal and their corresponding sides are proportional.

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

How does a reflection transformation work?

Back

A reflection transformation flips a figure over a line, creating a mirror image of the original figure.

Front

What is the effect of a 90° rotation on a point (x, y)?

Back

A 90° rotation counterclockwise about the origin transforms the point (x, y) to (-y, x).

Front

What is the effect of a 180° rotation on a point (x, y)?

Back

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

Front

What is the effect of a 270° rotation on a point (x, y)?

Back

A 270° rotation counterclockwise about the origin transforms the point (x, y) to (y, -x).