Congruent Triangles

$O\,$ is the center of a circle. $PQ\,$ is a chord of the circle and $M\,$ is a point on $PQ\,$ such that $OM\,$ is perpendicular to $P Q$ .

Prove that angle $POM\,$ is equal to angle $QO M$ .

[4]

$O\,$ is the center of a circle. $PQ\,$ is a chord of the circle and $M\,$ is a point on $PQ\,$ such that $OM\,$ is perpendicular to $P Q$ .

Prove that angle $POM\,$ is equal to angle $QO M$ .

[4]

Congruent Triangles Questions