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In the figure, chord EF || chord GH. P...

In the figure, chord `EF ||` chord GH.
Prove that ,
chord EG `~= ` chord FH .
Fill in the blanks and write the proof .
Proof `:` Draw seg GF.
`/_ EFG = /_ FGH ` ….( `square `) …..(1)
`/_ EFG =square` …(Inscribed angle theorem ) ...(2)
`/_ FGH = square ` ....(Inscribed angle theorem ) ...(3) ,brgt `:. ` m ( arc EG ) `= square ` ....[From (1), (2) and (3) ]
`:.` Chord EG `~=` Chord FGH ....(Corresponding chords of congruent arcs )

Text Solution

Verified by Experts

The correct Answer is:
alternate angles , `(1)/(2)` m (arc EG ) , ` (1)/(2) `m (arc FH ) , m (ar FH )
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