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TRUE or FALSE:
(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.

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mberisso

Answer:

Please see below

Step-by-step explanation:

The answers of True or False are given considering that the given statements correspond to lines and planes in a three-dimensional space.

(a) Two lines parallel to a third line are parallel.   True

(b) Two lines perpendicular to a third line are parallel.  False

(c) Two planes parallel to a third plane are parallel.  True

(d) Two planes perpendicular to a third plane are parallel.  False

(e) Two lines parallel to a plane are parallel.  False

(f) Two lines perpendicular to a plane are parallel.  True

(g) Two planes parallel to a line are parallel.  False

(h) Two planes perpendicular to a line are parallel.

(i) Two planes either intersect or are parallel.  True

(j) Two lines either intersect or are parallel.  False

(k) A plane and a line either intersect or are parallel. True
  • The true and false statements are as follows:

(a) Two lines parallel to a third line are parallel.   True

(b) Two lines perpendicular to a third line are parallel.  False

(c) Two planes parallel to a third plane are parallel.  True

(d) Two planes perpendicular to a third plane are parallel.  False

(e) Two lines parallel to a plane are parallel.  False

(f) Two lines perpendicular to a plane are parallel.  True

(g) Two planes parallel to a line are parallel.  False

(h) Two planes perpendicular to a line are parallel.

(i) Two planes either intersect or are parallel.  True

(j) Two lines either intersect or are parallel.  False

(k) A plane and a line either intersect or are parallel. True

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