Triangle Congruence Flashcard

Front

What is the Definition of Midpoint?

Back

A midpoint is a point that divides a segment into two equal parts.

Front

List the five ways to prove triangles congruent.

Back

SSS (Side-Side-Side), ASA (Angle-Side-Angle), AAS (Angle-Angle-Side), SAS (Side-Angle-Side), HL (Hypotenuse-Leg for right triangles).

Front

What is the Vertical Angles Theorem?

Back

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

Front

What does the Reflexive Property state?

Back

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

Front

What is the definition of congruence in geometry?

Back

Congruence means that two figures have the same shape and size.

Front

What is the Alternate Interior Angles Theorem?

Back

If two parallel lines are cut by a transversal, then each pair of alternate interior angles is congruent.

Front

What does the AAS congruence criterion stand for?

Back

AAS stands for Angle-Angle-Side, which states that if two angles and a non-included side of one triangle are congruent to two angles and the corresponding non-included side of another triangle, the triangles are congruent.

Front

What is the significance of the SSA condition in triangle congruence?

Back

SSA (Side-Side-Angle) does not guarantee triangle congruence; it can lead to ambiguous cases.

Front

What is the definition of the Hypotenuse-Leg (HL) theorem?

Back

The HL theorem states that if the hypotenuse and one leg of a right triangle are congruent to the hypotenuse and one leg of another right triangle, then the triangles are congruent.

Front

What is the definition of Angle Bisector?

Back

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