4.6: Chapter 4 Review
Symbols Toolbox
Congruent Triangles and their corresponding parts
Definitions, Postulates, and Theorems
Triangle Sums
 Interior Angles
 Vertex
 Triangle Sum Theorem
 Exterior Angle
 Exterior Angle Sum Theorem
 Remote Interior Angles
 Exterior Angle Theorem
Congruent Figures
 Congruent Triangles
 Congruence Statements
 Third Angle Theorem
 Reflexive Property of Congruence
 Symmetric Property of Congruence
 Transitive Property of Congruence
Triangle Congruence using SSS and SAS
 SideSideSide (SSS) Triangle Congruence Postulate
 Included Angle
 SideAngleSide (SAS) Triangle Congruence Postulate
 Distance Formula
Triangle Congruence using ASA, AAS, and HL
 AngleSideAngle (ASA) Congruence Postulate
 AngleAngleSide (AAS) Congruence Theorem
 Hypotenuse
 Legs (of a right triangle)
 HL Congruence Theorem
Isosceles and Equilateral Triangles
 Base
 Base Angles
 Vertex Angle
 Legs (of an isosceles triangle)
 Base Angles Theorem
 Isosceles Triangle Theorem
 Base Angles Theorem Converse
 Isosceles Triangle Theorem Converse
 Equilateral Triangles Theorem
Review
For each pair of triangles, write what needs to be congruent in order for the triangles to be congruent. Then, write the congruence statement for the triangles.
 HL
 ASA
 AAS
 SSS
 SAS
Using the pictures below, determine which theorem, postulate or definition that supports each statement below.

m∠1+m∠2=180∘ 
∠5≅∠6 
m∠1+m∠4+m∠3 
m∠8=60∘ 
m∠5+m∠6+m∠7=180∘ 
∠8≅∠9≅∠10  If
m∠7=90∘ , thenm∠5=m∠6=45∘
Texas Instruments Resources
In the CK12 Texas Instruments Geometry FlexBook, there are graphing calculator activities designed to supplement the objectives for some of the lessons in this chapter. See http://www.ck12.org/flexr/chapter/9689.