Download Two parts are the same Two Triangles are Congruent

Notes: Geometry Ch. 4 Congruent Triangles
4.1:
Name______________________
Apply Triangle Sum Properties
1.
2.
Classifying Triangles by Sides
scalene
isosceles
Classifying Triangles by Angles
acute
right
interior angles:
equilateral
obtuse
exterior angles:
Triangle Sum Theorem:
Exterior Angle Theorem:
4.2:
Apply Congruence and Triangles
congruent figures:
Third Angles Theorem:
4.3:
Prove Triangles Congruent by SSS
Side-Side-Side (SSS) Congruence Postulate:
corresponding parts:
equiangular
4.4:
Prove Triangles Congruent by SAS and HL
Side-Angle-Side (SAS) Congruence Postulate:
Hypotenuse-Leg (HL) Congruence Postulate
4.5:
Prove Triangles Congruent by ASA and AAS
Angle-Side-Angle (ASA) Congruence Postulate
Angle-Angle-Side (AAS) Congruence Postulate
4.6:
Use Congruent Triangles
Reasons Used In Proofs:
Two parts are the same
Two Triangles are Congruent
Reflexive Property
Definition of Midpoint
Definition of Angle Bisector
Corresponding Angles
Vertical Angles
Alternate Interior Angles
Isosceles Triangle Theorem
Definition of Perpendicular
SSS
SAS
ASA
AAS
HL
Parts add up to something
Triangle Sum
Supplementary Angles
Complementary Angles
Algebra Reasons for changing equations
Addition Property
Subtraction Property
Substitution
Transitive Property
Two parts of  Congruent Triangles are 
Corresp.parts of are 
(also known as CPCTC)
4.7:
Use Isosceles and Equilateral Triangles
legs:
vertex angle:
base:
base angles:
Base Angles Theorem:
Converse of Base Angles Theorem
Corollaries:
Corollary to the Base Angles Theorem
Corollary to the Converse of Base Angles Theorem: