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Hassan is constructing the circumscribed circle for △EFG . He has already constructed the perpendicular bisector of EG¯¯¯¯¯ .

Which construction is the correct next step for Hassan?


A. With the compass open to half the width of EG¯¯¯¯¯ , draw a circle centered at the intersection of EG¯¯¯¯¯ and its perpendicular bisector.

B. With the compass open to half the width of EG¯¯¯¯¯ , draw a circle centered at point F.

C. Construct the perpendicular bisector of FG¯¯¯¯¯ .

D. With the compass point at the intersection of EG¯¯¯¯¯ and its perpendicular bisector, draw arcs that intersect EF¯¯¯¯¯ and GF¯¯¯¯¯ .

2 Answers

6 votes
I think the next step would be to construct the perpendicular bisector of EG.

Hope this helps :)
answered
User Thenickdude
by
7.9k points
6 votes

Answer:

Option C

Explanation:

Given that Hassan is constructing the circumscribed circle for △EFG . He has already constructed the perpendicular bisector of EG¯¯¯¯¯ .

Since circumbscribed circle has center as the point of intersection of two perpendicular bisectors, we have to draw atleast two perpendicular bisectors

Already Given that EG is drawn. So immediate next step would be to draw FG next perpendicular bisector for side FG

Option C is right answer

answered
User Maranda
by
8.1k points
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