The quadrilaterals cannot be placed such that each occupies one-quarter of the circle because the vertices of parallelogram 2 do not form right angles.
The quadrilaterals cannot be placed such that each occupies one-quarter of the circle because the vertices of parallelogram 3 do not form right angles.
James cut out four parallelograms, the dimensions of which are shown below.
Parallelogram 1
length: 12 in.
width: 15 in.
diagonal: 20 in.
Parallelogram 2
length: 16 in.
width: 30 in.
diagonal: 34 in.
Parallelogram 3
length: 20 in.
width: 21 in.
diagonal: 29 in.
Parallelogram 4
length: 18 in.
width: 20 in.
diagonal: 26 in.
James put the parallelograms together so one vertex from each paper exists on a point, as shown in the circle.
4 parallelograms are put together so that one vertex from each paper exists on a point.
Which statement explains whether or not the parallelgrams can be put together so each occupies one-quarter of the area of the circle without overlapping any other pieces? Check all that apply.
The quadrilaterals can be placed such that each occupies one-quarter of the circle.
The quadrilaterals cannot be placed such that each occupies one-quarter of the circle because the vertices of parallelogram 1 do not form right angles.
The quadrilaterals cannot be placed such that each occupies one-quarter of the circle because the vertices of parallelogram 2 do not form right angles.
The quadrilaterals cannot be placed such that each occupies one-quarter of the circle because the vertices of parallelogram 3 do not form right angles.
The quadrilaterals cannot be placed such that each occupies one-quarter of the circle because the vertices of parallelogram 4 do not form right angles.
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The quadrilaterals cannot be placed such that each occupies one-quarter of the circle because the vertices of parallelogram 1 do not form right angles.
The quadrilaterals cannot be placed such that each occupies one-quarter of the circle because the vertices of parallelogram 4 do not form right angles.
The quadrilaterals cannot be placed such that each occupies one-quarter of the circle because the vertices of parallelogram 4 do not form right angles.