Ask your own question, for FREE!
Geometry 4 Online
OpenStudy (anonymous):

please help!! 1 medal and fan 1. Which segment in the diagram is skew to BD ? GH DC BF FH https://rialto5819-ehs-pps.gradpoint.com/Resource/2146263,72F,0,0,0,0,0/Assets/testitemimages/geometry_a/tools_of_geometry/mc071-1.jpg

ganeshie8 (ganeshie8):

skew to BD means not lying in BD plane

Directrix (directrix):

Segment GH is skew to segment BD. Skew lines do not intersect and do not lie in the same plane.

ganeshie8 (ganeshie8):

lets start from the last option FH :-

ganeshie8 (ganeshie8):

can BD form a plane with FH ?

Directrix (directrix):

Both segments DC and BF intersect segment DB so they cannot be skew.

OpenStudy (anonymous):

no

ganeshie8 (ganeshie8):

actually its yes. u have the bottom surface, BDFH, which has both BD and FH segments.

Directrix (directrix):

Segment FH and segment BD lie in the same plane, the floor of the solid so while they are parallel, they are not skew because they lie in the same plane. Parallel lines are equidistant and do not intersect while skew lines do not intersect but are not equidistant.

OpenStudy (anonymous):

oh ok i see it now

ganeshie8 (ganeshie8):

next, test option C BF :-

ganeshie8 (ganeshie8):

are they lying in same plane ? yes. we see that both BD and BF are lying in the bottom surface, BDHF so they're not skew

ganeshie8 (ganeshie8):

similarly test B and A options also

OpenStudy (anonymous):

ok i kinda get it

ganeshie8 (ganeshie8):

great !

OpenStudy (anonymous):

would the answer be B

ganeshie8 (ganeshie8):

careful, DC and BD are not lying in any surface ?

OpenStudy (anonymous):

no there not

ganeshie8 (ganeshie8):

look at the left surface, ACDB

ganeshie8 (ganeshie8):

then look at DC and BD segments, they are lying in left surface

OpenStudy (anonymous):

ACDB is skew with GH

ganeshie8 (ganeshie8):

correct ! so BD is skew with GH A is your answer

OpenStudy (anonymous):

THANK YOU GUYS SO MUCH

ganeshie8 (ganeshie8):

np :)

Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!
Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!