6
QuizMultiple Select
Converse to the Pythagorean Theorem
Question 6 of 13 • FL-1205070-M/J Grade 8 Pre-Algebra (Summer 2026)
James cut out four parallelograms, the dimensions of which are shown below. Parallelogram 1length: 12 in.width: 15 in.diagonal: 20 in.Parallelogram 2length: 16 in.width: 30 in.diagonal: 34 in.Parallelogram 3length: 20 in.width: 21 in.diagonal: 29 in.Parallelogram 4length: 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.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.
Answer
A
The quadrilaterals can be placed such that each occupies one-quarter of the circle.B
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.C
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.D
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.E
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.