Question

6 Circle 2AEZNI Properti Let's study. • Incircle • Circle • Circumcircle • Property of chord of the circle Activi activit chord throu of th Let's recall. par € va In adjoining figure, observe the circle with center P. reference to this figure, complete the following table P. SPA В. А CD P seg PA chord Perimetek diameter radius centre central angle D​

Answer 1

Answer:

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.