- #1
dGasim
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Hello I am having a problem with the following question.
Determine which statements are true in 3. (Select all that apply.)
(a) Two lines parallel to a third line are parallel.
(b) Two lines perpendicular to a third line are parallel.
(c) Two planes parallel to a third plane are parallel.
(d) Two planes perpendicular to a third plane are parallel.
(e) Two lines parallel to a plane are parallel.
(f) Two lines perpendicular to a plane are parallel.
(g) Two planes parallel to a line are parallel.
(h) Two planes perpendicular to a line are parallel.
(i) Two planes either intersect or are parallel.
(j) Two lines either intersect or are parallel.
(k) A plane and a line either intersect or are parallel.
None.
This is what I did (i am going to write it with T/F)
a) F - they maybe skew
b) T
c) T
d) T
e) F - they maybe skew
f) T
g) F - they may intersect
h) T
i) T
j) F - Skew
k) T? - I choose true but a line can be contained in a plane. Are they different things? Or I have a problem in other answers.
Thanks in advance,
Gasim
Homework Statement
Determine which statements are true in 3. (Select all that apply.)
(a) Two lines parallel to a third line are parallel.
(b) Two lines perpendicular to a third line are parallel.
(c) Two planes parallel to a third plane are parallel.
(d) Two planes perpendicular to a third plane are parallel.
(e) Two lines parallel to a plane are parallel.
(f) Two lines perpendicular to a plane are parallel.
(g) Two planes parallel to a line are parallel.
(h) Two planes perpendicular to a line are parallel.
(i) Two planes either intersect or are parallel.
(j) Two lines either intersect or are parallel.
(k) A plane and a line either intersect or are parallel.
Homework Equations
None.
The Attempt at a Solution
This is what I did (i am going to write it with T/F)
a) F - they maybe skew
b) T
c) T
d) T
e) F - they maybe skew
f) T
g) F - they may intersect
h) T
i) T
j) F - Skew
k) T? - I choose true but a line can be contained in a plane. Are they different things? Or I have a problem in other answers.
Thanks in advance,
Gasim