Question

16 ) Complete the proof of the theorem , ‘ A perpendicular drawn from the centre of a circle on its chord bisects the chord ′. ​

Answer 1

Answer:

A perpendicular drawn from the centre of a circle on its chord bisects the chord ′.

Step-by-step explanation:

To prove that the perpendicular from the centre to a chord bisect the chord.

Consider a circle with centre at O and AB is a chord such that OX perpendicular to AB

To prove that AX=BX

In ΔOAX and ΔOBX

∠OXA=∠OXB [both are 90 ]

OA=OB (Both are radius of circle )

OX=OX (common side )

ΔOAX≅ΔOBX

AX=BX (by property of congruent triangles )

hence proved.