Triangle Proofs (SSS, SAS, ASA, AAS) Wikispaces（三角形的证明(SSS,SAS、ASA、AAS)Wikispaces）.pdf

Unit 4: Triangles (Part 1) Geometry SMART Packet Triangle Proofs (SSS, SAS, ASA, AAS) Student: Date: Period: Standards G.G.27 Write a proof arguing from a given hypothesis to a given conclusion. G.G.28 Determine the congruence of two triangles by using one of the five congruence techniques (SSS, SAS, ASA, AAS, HL), given sufficient information about the sides and/or angles of two congruent triangles. SSS (Side, Side, Side) SAS (Side, Angle, Side) ASA (Angle, Side, Angle) AAS (Angle, Angle, Side) Note: We can NOT prove triangles with AAA or SSA!! How to set up a proof : Statement Reason Intro: List the givens Body: Properties Theorems Conclusion: What you are proving 9 Most Common Properties, Definitions Theorems for Triangles 1. Reflexive Property: AB = BA 6. Definition of a Midpoint When the triangles have an angle or Results in two segments being side in common congruent 2. Vertical Angles are Congruent