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Mathematics 8 Online
OpenStudy (anonymous):

what do rhombus and rectangles have in common?and how are they different from each other?

OpenStudy (caozeyuan):

rhombus and rectangles are both special cases of parallelogram

jimthompson5910 (jim_thompson5910):

|dw:1374441970725:dw|

jimthompson5910 (jim_thompson5910):

based on what caozeyuan is saying, we can place "both are parallelograms" in the intersecting or overlapping portion (denoted as "A") |dw:1374442023893:dw| A: both are parallelograms

OpenStudy (caozeyuan):

for difference, the diagonals of a rhombus are perpendicular to each other, while the sides are NOT NECESSARILY perpendicular. rectangle is the opposite. The intersection of them is the square

jimthompson5910 (jim_thompson5910):

what else do they have in common jasmine1123?

OpenStudy (anonymous):

@jim_thompson5910 are they quadrilaterals

jimthompson5910 (jim_thompson5910):

good, that's another similarity |dw:1374442887083:dw| C1: both are parallelograms C2: both are quadrilaterals

jimthompson5910 (jim_thompson5910):

a rhombus has diagonals that are perpendicular a rectangle has adjacent sides that are perpendicular so... |dw:1374442971441:dw| A1: has diagonals that are perpendicular C1: both are parallelograms C2: both are quadrilaterals B1: has adjacent sides that are perpendicular

jimthompson5910 (jim_thompson5910):

see how I'm filling this out?

jimthompson5910 (jim_thompson5910):

A1, A2, A3, ... etc refers to things that only go in the "rhombus" section (and not in the rectangle section) B1, B2, B3, ... etc refers to things that only go in the "rectangle" section (and not in the rhombus section) C1, C2, C3, ... is for the overlapping section

jimthompson5910 (jim_thompson5910):

ok great

jimthompson5910 (jim_thompson5910):

so what's another thing you could add?

OpenStudy (anonymous):

a rhombus is a four sided shape where all sides have equal length

jimthompson5910 (jim_thompson5910):

good, whereas a rectangle has 4 right angles

jimthompson5910 (jim_thompson5910):

|dw:1374443225476:dw| A1: has diagonals that are perpendicular A2: all four sides are congruent C1: both are parallelograms C2: both are quadrilaterals B1: has adjacent sides that are perpendicular B2: all four angles are congruent (all angles are equal to 90 degrees)

jimthompson5910 (jim_thompson5910):

you could go on and on really, but this pretty much covers the basics

OpenStudy (anonymous):

@jim_thompson5910 thanks for helping me out :)

jimthompson5910 (jim_thompson5910):

you're welcome, glad to be of help

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