Question

The straight line drawn from the centre of a circle to bisect a chord is perpendicular to the chord.


$\huge\green{\tt{\underline{\underline{ Solve it :-}}}}$​

Answer 1

Answer:

RAY OR DIAMETER IS THE STRAIGHT LINE DRAWN FROM THE CIRCLE TO BISECT A CHORD IS PERPENDICULAR TO THE CHORD

Answer 2

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$\blue{\bold{\underline{\underline{Hypothesis:}}}}$

The straight line OD bisect the chord AB of the circle with Centre O at the point D.

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$\red{\bold{\underline{\underline{To \: prove:-}}}}$

OD ⊥ AB.

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$\large\green{\tt{\underline{\underline{construction:-}}}}$

OA and OB are joined.

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$\large\underline\mathtt\color{pink}{proof:-}$

In ∆ OAD and OBD,

OA =OB (radii of the same circle)

AD = BD (D is the mid - point of the chord AB)

OD is common.

∴ ∆ are congruent (sss congruency)

∴ ∠ODA = ∠ODB but ∠ODA +∠ODB = 180°

∴ ∠ODA = ∠ODB = 90°

∴ OD ⊥AB (proved)

$\color{plum} {\tt {\bigstar}} \ \displaystyle {\tt{Be brainly}}$