Math, asked by Ayra19114, 11 months ago

in the figure, AB and CD are two chords of a circle with centre O such that MP = NP. If OM Bisect AB and ON bisect DC, show that AB = CD.

Attachments:

Tomboyish44: Hey, its already given that AB = CD, Do you want to prove that BP = DP and AP = CP ?
Ayra19114: no thank u I already understood thank u really
Tomboyish44: Im requesting you to tell me the question again, as it is wrong..

Answers

Answered by Anonymous
60

Answer:

if u didn't get anything ask me

Step-by-step explanation:

From O draw perpendicular lines OM and ON to chords AB and DC. ( see sketch)

M and N are the midpoints of chords AB and DC.

Consider right triangles OPM and OPN . These 2 triangles are congruent ( case hypotenuse + angle)

So OM=ON

Right triangles ODN congruent to OAM( case hypotenuse + side)

So ND= MA => AB= DC

Sneha Singh

U

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