What's the shape?
Geometry
Level
pending
Two circles(with centers O and O') of equal area intersect each other at points A and B. The line OO' intersect the arcs AB and BA at 2 different points C and D. What's the shape of quadrilateral ACBD? Justify your answer through a series of proofs.
Rhombus( A parallelogram with all sides equal)
Parallelogram
Can be any type of quadrilateral
None of the above
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1 solution
I will leave 3 proofs for the reader. - AD and OO' bisect each other at right angles. - the diagonals of the quadrilateral ACBD also bisect each other at right angles. - diagonals of a rhombus also bisect each other at right angles.