Triangle congruence proofs

Front

What is the definition of congruent segments?

Back

Two segments are congruent if they have the same length.

Front

What does it mean if a line bisects an angle?

Back

It means that the line divides the angle into two equal parts.

Front

What is the SAS (Side-Angle-Side) congruence postulate?

Back

If two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the triangles are congruent.

Front

What are vertical angles?

Back

Vertical angles are the angles opposite each other when two lines intersect. They are always congruent.

Front

What is the SSS (Side-Side-Side) congruence postulate?

Back

If three sides of one triangle are congruent to three sides of another triangle, then the triangles are congruent.

Front

What is the definition of an angle bisector?

Back

An angle bisector is a ray that divides an angle into two equal angles.

Front

What is the definition of congruence in triangles?

Back

Two triangles are congruent if their corresponding sides and angles are equal.

Front

What is the difference between SAS and SSA?

Back

SAS requires two sides and the included angle to be congruent, while SSA involves two sides and a non-included angle, which does not guarantee triangle congruence.

Front

What is the definition of corresponding parts of congruent triangles?

Back

Corresponding parts are the sides and angles of two triangles that are equal in measure.

Front

What is the definition of a triangle?

Back

A triangle is a polygon with three edges and three vertices.