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.
Mark this and return
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.
try again
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 statement that explains whether or not the parallelograms can be put together so each occupies one-quarter of the area of the circle without overlapping any other pieces is:
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.
These statements are correct because in order for the parallelograms to fit together to occupy one-quarter of the circle without overlapping, the vertices of each parallelogram need to form right angles. However, since the given parallelograms have vertices that do not form right angles, they cannot be placed to occupy one-quarter of the circle without overlapping.