Triangle Congruence Proofs

Front

What is the Vertical Angle Theorem?

Back

The Vertical Angle Theorem states that when two lines intersect, the opposite (or vertical) angles are congruent.

Front

What does it mean for an angle bisector to bisect an angle?

Back

An angle bisector divides an angle into two equal (congruent) angles.

Front

What is the definition of congruent angles?

Back

Congruent angles are angles that have the same measure.

Front

What is the Reflexive Property in geometry?

Back

The Reflexive Property states that any geometric figure is congruent to itself.

Front

What are the properties of congruence in triangles?

Back

The properties include: SSS (Side-Side-Side), SAS (Side-Angle-Side), ASA (Angle-Side-Angle), AAS (Angle-Angle-Side), and HL (Hypotenuse-Leg for right triangles).

Front

What is the significance of angle bisectors in triangle congruence?

Back

Angle bisectors can help establish congruence by creating two congruent angles, which can be used in proofs.

Front

How do you prove that two triangles are congruent using the SSS criterion?

Back

To prove triangles are congruent by SSS, show that all three corresponding sides of the triangles are equal in length.

Front

What is the difference between an angle bisector and a median in a triangle?

Back

An angle bisector divides an angle into two equal parts, while a median connects a vertex to the midpoint of the opposite side.

Front

What is the definition of a triangle?

Back

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

Front

What is the relationship between the angles in a triangle?

Back

The sum of the interior angles in a triangle is always 180 degrees.