Congruency, SMB-004

In the circle below, centre \(O\), \(OB\) is perpendicular to chord \(AC\).

Prove that a pair of triangles in this figure are congruent. (2 marks)

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\(OB\ \ \text{common} \)

\( \angle OBA = \angle OBC = 90^{\circ}\ \ \text{(given)} \)

\(OA = OC\ \ \text{(radii)} \)

\(\therefore\ \Delta AOB \equiv \Delta COB\ \ \text{(RHS)}\)