∆BRM ≅ ∆THY(Angle -Side-Angle, ASA theorem)
What are criteria for congruence of triangles?
Triangles are congruent if they have equal corresponding sides and angles. The criteria include Side-Side-Side (SSS), Side-Angle-Side (SAS), Angle-Side-Angle (ASA), and Right Angle-Hypotenuse-Side (RHS).
To prove that ∆BRM ≅ ∆THY
MB ≅ YT (Given)
∠YTH ≅ ∠MBR (given)
∠BRM ≅ ∠THY (given)
∆BRM ≅ ∆THY(Angle -Side-Angle, ASA theorem)
Therefore, the theorem that could be used to prove the congruence of the triangles is Angle-Side-Angle, ASA, theorem.