transformations and symmetry

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 translation, rotation, reflection, and dilation.

Front

What is translation in geometry?

Back

Translation is a transformation that moves every point of a shape the same distance in the same direction.

Front

What is rotation in geometry?

Back

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

Front

What is reflection in geometry?

Back

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

Front

What is dilation in geometry?

Back

Dilation is a transformation that changes the size of a shape but not its shape, by a scale factor.

Front

What is symmetry in geometry?

Back

Symmetry is a property where a shape is invariant under certain transformations, such as reflection or rotation.

Front

What is line symmetry?

Back

Line symmetry (or reflectional symmetry) occurs when a shape can be divided into two identical halves that are mirror images of each other.

Front

What is rotational symmetry?

Back

Rotational symmetry occurs when a shape can be rotated around a center point and still look the same at certain angles.

Front

How do you determine the coordinates of a point after a 180° rotation about the origin?

Back

To find the new coordinates after a 180° rotation, change the sign of both the x and y coordinates of the point.