Triangle Congruence Proofs

$\angle GEQ\cong\angle NEW$ Vertical

$\overline{WN}\cong\overline{GQ}$ ; Prove

$\angle G\cong\angle N$ ; Alternate Interior

$\angle W\cong\angle Q$ ; Alternate Interior

$\angle APB\cong\angle CPD$ ; Vertical

$\angle A\approx\angle D$ ; Alternate Interior

$\angle C\cong\angle B$ ; Alternate Interior

$\overline{AB}\cong\overline{CD}$ ; Prove

$\overline{DC}\cong\overline{DC}$ ; Reflexive Property

$\angle A\cong\angle B$ ; Reflexive Property

$\angle1\cong\angle2$ ; Reflexive Property

$\overline{AD}\cong\overline{DB}$ ; Midpoint Theorem

Definition of Congruence

Definition of Vertical Angles

Reflexive Property

Vertical Angle Theorem

SSS Congruence

SAS Congruence

ASA Congruence

AAS Congruence

HL Congruence

A

B

C

D