Question

2. Prove that the line joining the mid-points of two
passes through the centre.​

Answer 1

Answer:

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Answer 2

Answer:

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Step-by-step explanation:

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Let,

EF and GH are two parallel chords having X and Y as their mid-points respectively

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Let,

"O" be the center of the circle

Join,

OX and OY

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Draw,

• OA // EF // GH

"X" is the mid-point of EF

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• "OX" is perpendicular to EF
• Angle EXO = Angle FXO = 90°
• But, OA // EF

:. Angle POA = Angle EXO [ Alternate Interior Angle ]

• :. Angle POA = 90°

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