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Elementary Geometry for College St...
Solutions
Elementary Geometry for College St...
Can a circle be circumscribed about each of the following figures? Why or why not?
| a) Parallelogram | c) Rectangle |
| b) Rhombus | d) Square |
(a)
To find:
Can a circle be circumscribed about parallelogram or not.
If perpendicular bisectors of sides of any quadrilateral are concurrent, then a circle be circumscribed about that quadrilateral. In a parallelogram, the perpendicular bisectors of sides need not be concurrent.
Consider the parallelogram, we can circumscribe circle about a quadrilateral if the diagonals of the quadrilateral are equal...
(b)
To find:
Can a circle be circumscribed about rhombus or not.
(c)
To find:
Can a circle be circumscribed about rectangle or not.
(d)
To find:
Can a circle be circumscribed about square or not.
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