Algebra

Substitution

Substitution

ASA (Angle-Side-Angle)

The base angles of an isosceles trapezoid are equal

Definition

Segment addition theorem

Substitution

Definition

Perpendicular lines form right angles

BA = CD

AP = BP and DQ = CQ

BA = BP + AP and CD = CQ + DQ

BA = 2(PA) and CD = 2(QD)

PA = (1/2)BA and QD = (1/2)CD

PA = (1/2)BA and QD = (1/2)BA

PA = QD

∠ APG = ∠ EQD = 90

∠ A = ∠ D

△AGP ≅ △DEQ