Geometry Congruent Triangle Proofs

Definition of Midpoint

Definition of congruence

Transitive Property

Substitution Property

Reflexive Angles

Transitive Property

Definition of Angle Bisector

Definition of Vertical Angles

$$\overline{FG}\cong\overline{FG}$$

$$\angle DFG\cong\angle EFG$$

$$\overline{DF}\cong\overline{EF}$$

$$\overline{DG}\cong\overline{GE}$$

$$\angle FGD\cong\angle FGE$$

$$\overline{WE}≅\overline{\ QE}​;\ \overline{GE}\cong\overline{EN}$$

Definition of Midpoint

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

$$\overline{WE\ }≅\ \overline{GE};\ \overline{QE}\cong\overline{EN}$$
Definition Of Midpoint

$$\overline{IA}\cong\overline{AE}$$

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

$$\angle IDA\cong\ \angle EDA$$

$$\overline{ID}\cong\overline{ED}$$

SSA

AAS

SAS

HL

$$\overline{DN}\cong\overline{PN}$$

$$\overline{GN}\cong\overline{GN}$$

$$m\angle GND\ =90\degree$$

$$\angle DGN\cong\angle PGN$$

What you need to prove, it doesn't have to be written exactly how it is in the description though. If it is close that is good enough.

Depends on the proof.

What you need to prove in general terms.

What you need to prove, written exactly how it is in the description.