GEOM -Congruence/Symmetry/Transformations

Front

What is congruence in geometry?

Back

Congruence in geometry means that two figures have the same shape and size. If two shapes are congruent, they can be made to coincide by rotation, reflection, or translation.

Front

Define symmetry in geometry.

Back

Symmetry in geometry refers to a balance or correspondence between two halves of a shape. A shape is symmetric if it can be divided into two identical parts that are mirror images of each other.

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. Common transformations include translations, rotations, reflections, and dilations.

Front

Describe a translation transformation.

Back

A translation transformation moves every point of a shape the same distance in a specified direction. For example, the transformation (x, y) -> (x+3, y) translates a shape 3 units to the right.

Front

What is a rotation in geometry?

Back

A rotation in geometry is a transformation that turns a shape around a fixed point, known as the center of rotation, by a certain angle.

Front

What is the angle of rotation?

Back

The angle of rotation is the measure of the degree to which a shape is rotated around a fixed point. It is usually measured in degrees.

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 along a line.

Front

What is rotational symmetry?

Back

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

Front

How do you determine if two angles are congruent?

Back

Two angles are congruent if they have the same measure in degrees or radians.

Front

What does it mean for segments to be congruent?

Back

Two segments are congruent if they have the same length.