In the diagram, $PQ=PR$, $QX$ bisects $\angle PQR$ and $RY$ bisects $\angle QRP$. Prove th

Question

In the diagram, $PQ=PR$, $QX$ bisects $\angle PQR$ and $RY$ bisects $\angle QRP$. Prove that triangles $PQX$ and $PRY$ are congruent. Prove that $QX=RY$.

Accepted Answer

$\text{(i)}\ \triangle PQX\equiv\triangle PRY\text{ (AAS)}$ $\text{(ii)}\ QX=RY$

Congruence Proofs in Euclidean Geometry: Analysis of Triangles \(PQX\) and \(PRY\)

Congruence Proofs in Euclidean Geometry: Analysis of Triangles \(PQX\) and \(PRY\)

Video Solution:

Solution:

Solution locked