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.
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Tomboyish44:
Hey, its already given that AB = CD, Do you want to prove that BP = DP and AP = CP ?
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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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