Congruence Properties

Proofs

​Theorems-Postulates-Properties-Used in Proofs

In this quick lesson, you will learn about how you can use theorems, postulates, properties and definitions to help you do Geometric Proofs.

You can refer to this anytime you need help with a proof.

​ANGLE ADDITION POSTULATE

​Reason: Angle Additon Postulate

​Application of Angle Addition Postulate

​Reason: Angle Addition Postulate

​Linear Pair Postulate

​Reason: Linear Pair Postulate

​Application of Linear Pair Postulate

​Reason: Linear Pair Postulate

​Reason: Substitution

​Reason: Subtraction property of equality

​Vertical Angles are Congruent

​Reason: Vertical Angle Theorem

​Vertical Angle Application

​Reason: Vertical Angle Theorem

​Alternate Interior Angles

​Reason: Alternate Interior Angle Theorem

​Alternate Interior Angle Application

​Reason: Alternate Interior Angle Theorem

​Reflexive Property of Congruence

​Reason: Reflexive Property of Congruence

​Reflexive Property of Congruence

​Reason: Reflexive Property of Congruence

​Definition of Midpoint

​Reason: Definition of Midpoint

​Reason: Definition of Midpoint

​Alternate Interior Angles

​Reason: Alternate Interior Angles are congruent.