Congruent Triangle Proofs Lecture Notes

These flashcards cover key concepts and definitions related to congruent triangle proofs from the lecture notes.

Reflexive Property

A property which states that a = a.

Midpoint

A point that is directly in the center of a line, that divides the segment in half.

Bisect

To cut something in half and create two equal parts.

SSS Congruence Theorem

If three sides of one triangle are congruent to three sides of another, they are congruent.

SAS Congruence Theorem

If two sides and the angle between them are congruent to that of another triangle, they are congruent.

Vertical Angles

Angles that are opposite each other when two lines cross.

Alternate Interior Angles

Angles that lie on the opposite sides of the transversal but are within the same pair of parallel lines.

ASA

Angle-Side-Angle; a method for proving triangles congruent by having two angles and the included side congruent.

AAS

Angle-Angle-Side; a method for proving triangles congruent by having two angles and a non-included side congruent.

HL

Hypotenuse-Leg; a method to prove two right triangles congruent by having their hypotenuse and a leg equal.