<p>In the diagram, \(PQ=PR\), \(QX\) bisects \(\angle PQR\) and \(RY\) bisects \(\angle QRP\).</p>
<div class="content-block"><figure class="question-figure aligncenter" style="text-align: center;"><img src="https://vocwkpgapvksartxhhor.supabase.co/storage/v1/object/public/question-images/pasted/1767493105187-erp1k8cv3d7.png" style="max-width: min(300px, 100%); height: auto; display: block;" alt="Triangle PQR with angle bisectors QX and RY" class="aligncenter custom-width" /></figure></div>
<ol class="i-list"><li><div class="list-item-content"><span class="list-item-text">Prove that triangles \(PQX\) and \(PRY\) are congruent.</span></div></li><li><div class="list-item-content"><span class="list-item-text">Prove that \(QX=RY\).</span></div></li></ol>

In the diagram, \(PQ=PR\), \(QX\) bisects \(\angle PQR\) and \(RY\) bisects \(\angle QRP\).

Prove that triangles \(PQX\) and \(PRY\) are congruent.

Congruence Proofs in Euclidean Geometry: Analysis of Triangles $PQX$ and $PRY$

Congruence Proofs in Euclidean Geometry: Analysis of Triangles $PQX$ and $PRY$

Video Solution: