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Mathematics 8 Online
OpenStudy (x__hazel__x):

Which phrase best defines a square? A. a rectangle with four congruent sides B. a parallelogram with four congruent angles C. a quadrilateral with exactly one pair of parallel sides D. a quadrilateral with no congruent sides

OpenStudy (partyshotz2409):

B

jimthompson5910 (jim_thompson5910):

`a parallelogram with four congruent angles` actually more better defines a rectangle (not a square necessarily though sometimes a square is possible)

jimthompson5910 (jim_thompson5910):

Rectangle: any quadrilateral with 4 right angles (aka 4 congruent angles)

OpenStudy (x__hazel__x):

Oh, okay! So would I put A?

jimthompson5910 (jim_thompson5910):

yes if a rectangle has all 4 congruent sides, then you have a square

OpenStudy (x__hazel__x):

Thank you!

jimthompson5910 (jim_thompson5910):

in terms of a venn diagram, we'd have this |dw:1468513657444:dw|

jimthompson5910 (jim_thompson5910):

a square is found in the overlapping region |dw:1468513681834:dw|

jimthompson5910 (jim_thompson5910):

rectangle = any quadrilateral with 4 right angles (aka 4 congruent angles) rhombus = any quadrilateral with 4 congruent sides (the angles don't have to be right angles) square = quadrilateral with 4 right angles and 4 congruent sides (rectangle+rhombus = square)

OpenStudy (x__hazel__x):

Thank you soooooo much!

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