Which phrase defines a rhombus?
Choose all answers that are correct.
A.
a parallelogram with four congruent angles
B.
a parallelogram with four congruent sides
C.
a quadrilateral with four congruent angles
D.
a quadrilateral with four congruent sides
multiple answers
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OpenStudy (yolomcswagginsggg):
plz answer
OpenStudy (cwrw238):
a rhombus has 4 congruent sides
it is a parallelogram and a quadrilateral
OpenStudy (yolomcswagginsggg):
ok
OpenStudy (ikram002p):
ok , A gives u rhombus but it gives square only thus its wrong
B sounds good
C seems had a problem as A
D works , but in definition it must be of parallelogram family first
OpenStudy (yolomcswagginsggg):
ok thx!!!!!!!!!!!!!
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OpenStudy (ikram002p):
np :)
OpenStudy (yolomcswagginsggg):
the medal is for u
OpenStudy (ikram002p):
no lol , give it to anyone else bhaha
ganeshie8 (ganeshie8):
D wont work as it stands right ?
OpenStudy (yolomcswagginsggg):
uh.................srry to late XD
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OpenStudy (ikram002p):
@ganeshie8
this case wont work
|dw:1414775312061:dw|
OpenStudy (ikram002p):
thats why i said it should be of parallelogram family
OpenStudy (yolomcswagginsggg):
so its b, and d? right
OpenStudy (yolomcswagginsggg):
LOL
OpenStudy (ikram002p):
no D doesnt hold , only b
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OpenStudy (yolomcswagginsggg):
OOOOOOOOOOOOOO...............KAY THX
OpenStudy (yolomcswagginsggg):
IM GONNA PST ANOTHER 1
OpenStudy (yolomcswagginsggg):
*POST
ganeshie8 (ganeshie8):
only B looks good to me
OpenStudy (ikram002p):
:)
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OpenStudy (cwrw238):
@ganeshie8 - but can you have a shape like ikram drew with 4 equal sides?
ganeshie8 (ganeshie8):
A : rectangle
B : rhombus
ganeshie8 (ganeshie8):
@cwrw238 im still not convinced fully on C and D
OpenStudy (cwrw238):
nor me
OpenStudy (ikram002p):
lol i have doubt about D now :O
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ganeshie8 (ganeshie8):
C : rectangle if the quadrilateral is convex, otherwise idk
ganeshie8 (ganeshie8):
C has to be a rectangle i think because each angle will be 90
OpenStudy (ikram002p):
well i think its only for a rectangle
OpenStudy (ikram002p):
form*
ganeshie8 (ganeshie8):
ok now D
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OpenStudy (cwrw238):
D could be a square or a rhombus But I guess you could classify a square as a special kind of rhombus ?
ganeshie8 (ganeshie8):
yeah square is a jack of all quadrilaterals
OpenStudy (cwrw238):
lol - that a great way to put it!!
OpenStudy (yolomcswagginsggg):
so whats the answer's lol im back
OpenStudy (ikram002p):
if we could prove for part D , that its only convex then its also rhombus
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ganeshie8 (ganeshie8):
B and most likely D
ganeshie8 (ganeshie8):
then ?
OpenStudy (yolomcswagginsggg):
ok thx
ganeshie8 (ganeshie8):
i think only convex shape is possible with 4 conguent sides
OpenStudy (ikram002p):
haha lol it need work xD
there is a reason why when u define any special quadrilateral of parallelogram we say parallelogram , there must be something about it that D wont work :O or not lol idk
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ganeshie8 (ganeshie8):
prove it when free :)
OpenStudy (ikram002p):
im free now .
ganeshie8 (ganeshie8):
okay so since all four sides are congruent, can we say the two triangles separated by a diagonal are isosceles ?
ganeshie8 (ganeshie8):
|dw:1414776719113:dw|
ganeshie8 (ganeshie8):
Also those two triangles would be congruent by SSS congruence
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ganeshie8 (ganeshie8):
fine so far
ganeshie8 (ganeshie8):
?
OpenStudy (ikram002p):
yes
OpenStudy (yolomcswagginsggg):
lol u guys are still trying to answer this XD
ganeshie8 (ganeshie8):
im not sure what i should try next
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ganeshie8 (ganeshie8):
yeah we can prove this : base angle of an isoscles triangle is never greater than 90