Prove that: chord EG chord FH. Complete the activity.
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Answer:
Given: chord EF || chord GH.
To prove: chord EG = chord FH.
Construction: Draw seg GF.
Proof:
∠EFG = ∠FGH (i) Alternate angles.
∠EFG = 1/2 m (arcEG)] (ii) [Inscribed angle theorem]
∠FGH = 1/2 m(arcFH) (iii) [Inscribed angle theorem]
∴ m(arcEG) = m (are FH) [From (i), (ii) and (iii)]
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