2.4b Triangle Proofs and CPCTC

Definition of Midpoint

Definition of congruence

Transitive Property

Substitution Property

Reflexive Angles

Transitive Property

Definition of Angle Bisector

Vertical Angles are Congruent

$FG\cong FG$

$\angle DFG\cong\angle EFG$

$DF\cong EF$

$DG\cong GE$

$\angle FGD\cong\angle FGE$

JK≅KJ

Symmetric Property

JK≅JK

Reflexive Property

MK≅LJ

Hypotenuse Congruence

MJ≅LK

Midpoint Theorem

$WE≅QE​;\ GE\cong EN$

Definition of Midpoint

$\angle WEN\cong\angle GEQ$
Vertical Angles

$WE≅GE​;\ QE\cong EN$
Definition Of Midpoint

$IA\cong AE$

$\angle IAD,\ \angle DAE$ are right angles

$\angle IDA\cong\ \angle EDA$

$ID\cong ED$

SSA

AAS

SAS

HL

$DN\cong PN$

$GN\cong GN$

$m\angle GND\ =90\degree$

$\angle DGN\cong\angle PGN$

AB≅XY

BC≅CB

AB≅YX

AB≅XZ

$\angle C\cong\angle A$

$\angle C\cong\angle Z$

$\angle B\cong\angle Z$

$\angle A\cong\angle Y$

$\angle X\cong\angle V$

$\angle U\cong\angle X$

$XW\cong VW$

$\angle XUW\cong\angle UWV$

 $\angle D\cong\angle A$  

 $\angle B\cong\angle D$  

 $DE\cong AE$  

 $EC\cong AB$  

 $BA\cong DC$