Geometry 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

Define 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 a rotation?

Back

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

Front

How do you determine the angle of rotation?

Back

The angle of rotation is measured in degrees and indicates how far the shape is turned around the center of rotation.

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 the line of symmetry?

Back

A line of symmetry is a line that divides a shape into two identical parts that are mirror images of each other.

Front

How do you find the coordinates of a reflected point over the y-axis?

Back

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

Front

What is the difference between rotational symmetry and line symmetry?

Back

Rotational symmetry occurs when a shape can be rotated and still look the same, while line symmetry involves a shape being identical on both sides of a line.

Front

How many degrees is a full rotation?

Back

A full rotation is 360 degrees.