What type of a quadrilateral is formed by connecting the four vertices of the octagon given in fig 6 Give reason for your answer
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Question :- What type of a quadrilateral is formed by connecting the four vertices of the regular octagon ?
Solution :-
From image we can see that :-
1) HADE, GHCD, ABEF and BCFG are rectangles.
- Opposite sides are equal and meets at 90° .
2) HABG, HABC, BCDE, ABCD, DEFG, EFGH and FGHA are Trapezium .
- One of the opposite sides are parallel and unequal.
Therefore , we can conclude that, with four vertices of the regular octagon only Trapeziums and rectangles are formed.
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