Quadrilateral ABCD has side lengths of AB = 2z + 2, BC = 8, CD = 5z – 10, and AD = 8. Find the value of z for which quadrilateral ABCD is a parallelogram.
A.
1
B.
2
C.
3
D.
4
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OpenStudy (welshfella):
opposite sides of a parallelogram will be equal
OpenStudy (chancemorris123):
? can you help more plz :)
OpenStudy (welshfella):
so AB will be equal to CD
OpenStudy (chancemorris123):
oh so i + them?
OpenStudy (welshfella):
so
2z + 2 = 5z - 10
solve for z
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OpenStudy (chancemorris123):
3z=12
OpenStudy (welshfella):
solve for z and you've got it
OpenStudy (chancemorris123):
then 3/12
OpenStudy (welshfella):
yes
OpenStudy (chancemorris123):
z=4
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OpenStudy (welshfella):
right
OpenStudy (chancemorris123):
then what
?
OpenStudy (welshfella):
thats it the value you want is 4
check the options
OpenStudy (chancemorris123):
what? i dont get it
OpenStudy (welshfella):
they wanted to know the value of z which would make it a parallleogram
opposite sides are equal thats why
for it to be a paralleogram
2z +2 = 5z - 10
and this is true when z = 4
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