2-4 Angle Proofs Pt. 1

 $\angle FAE$  

 $\angle CDG$  

 $FEA$  

 $\angle CEB$  

 $\angle AED\ and\ \angle CEB$  

 $\angle FEC\ and\ \angle FEA$  

 $\angle FEC\ and\ \angle AED$  

 $\angle DEG\ and\ \angle AEC$  

 $\angle AEF\ +\ \angle FEC\ =\ \angle AEC$  

 $m\angle AEF\ +\ m\angle FEC\ =\ m\angle AEC$   

 $m\angle AEF\ +\ m\angle CEB\ =\ m\angle AEB$  

 $m\angle AED=m\angle CEB$  

 $\overline{FG}$  

 $\overline{AB}$  

 $\overline{AE}$  

 $\overline{FB}$  

Symmetric Property of Congruence

Definition of Congruence

Definition of Angle Bisector

Reflexive Property of Congruence

Symmetric Property of Congruence

Definition of Congruence

Reflexive Property of Equality

Reflexive Property of Congruence

Reflexive Property of Congruence

Transitive Property of Congruence

Definition of Congruence

Symmetric Property of Congruence

 $m\angle A+m\angle B=90$  

 $m\angle A=90,\ and\ \ m\angle B=90$  

Transitive Property

 $m\angle A=45\ and\ m\angle B=45$  

All angles are right angles.

All right angles are 90 degrees.

All right angles are congruent.

 $m\angle1\ and\ m\angle2$  are supplementary

 $m\angle1+m\angle2=180$  

 $m\angle1=90\ and\ m\angle2\ =\ 90$  

 $m\angle1+m\angle2=90$