Question

Which pair of triangles is congruent by AAS?

∆PQT and ∆RQT


∆TPR and ∆SPR


∆PQU and ∆TSU


∆PRT and ∆PQT

Answer 1

Hello!

Your answer is: ΔPQT and ΔRQT

All the angles are congruent.

∠P and ∠R are both acute angles. ∠Q is part of both triangles, which measures 90°. ∠T is also part of both triangles.

Answer ⇒ ΔPQT and ΔRQT

Answer 2

A) ΔPQT and ΔRQT is your answer

TQ bisects PR (line bisector), leading to PQ ≅ QR (Side)

∠Q ≅ ∠R (Given)

∠PQT ≅ ∠SQT (line bisector creates congruent angles which = 90°)


hope this helps