cc
QR ≅ WR & Side
∠ QRV ≅ ∠ WRS & Included Angle
RV ≅ RS & Side
Using the Side-Angle-Side (SAS) Congruence Postulate we conclude that △ QRV ≅ △ WRS, which implies that ∠ Q ≅ ∠ W. Next, we will highlight another pair of vertical angles.
One more time, by the Vertical Angles Theorem we get ∠ QRT ≅ ∠ WRU.
cc
∠ Q ≅ ∠ W & Angle
QR ≅ WR & Included Side
∠ QRT ≅ ∠ WRU & Angle
By applying the Angle-Side-Angle (ASA) Congruence Postulate we conclude that △ QRT ≅ △ WRU, which implies that QT ≅ WU.
Two-Column Proof Table
In the following table we summarize the proof we did before.
