Maths MaestriGrade 12 · Euclidean Geometry
Your Proof
Theorem. The line drawn from the centre of a circle perpendicular to a chord bisects the chord.
Given
Circle with centre O. AB is a chord. OM ⊥ AB, with M on AB.
Required to prove
AM = MB (i.e. OM bisects the chord AB).
Circle centre O · dashed lines are a suggested construction
Fill in each line with a statement and its reason. You may not need all five lines.
Well done,
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