Postulates and Theorems

Postulates and Theorems

Postulate. If two angles of one triangle are equal in measure to two angles of another triangle, then the two triangles are similar.

Right Congruence Theorem. If one leg and an acute angle of a right triangle are congruent to one leg and the corresponding acute angle of another right triangle, then the triangles are congruent.

EXAMPLES OF THE TYPES OF POSTULATES AND THEOREMS

SAS Postulate AAS Postulate LL Congruence Theorem HL Congruence Theorem

Types of Postulates

Types of Congruence Theorems

• SSS Postulate ( Side-Side-Side )
• SAS Postulate ( Side-Angle-Side )
• ASA Postulate (Angle-Side-Angle)
• AAS Postulate (Angle-Angle-Side)

• HL Congruence Theorem ( Hypotenuse-Leg )
• HA Congruence Theorem ( Hypotenuse-Acute Angle )
• LA Congruence Theorem ( Leg-Acute Angle )
• LL Congruence Theorem ( Leg-Leg)

Differences of Postulates and Theorems

A postulate is a statement that is assumed true without any form of proof yet. A theorem is a true statement that can be proven with solving to prove that it is indeed a true statement.

By : Althea Q. Salamat Section : 8 - LUICIDITY