Determine which statements are true in reals3. (selectall that apply.)
(a)two lines parallel to a third line are parallel.
(b) twolines perpendicular to a third line are parallel.
(c) twoplanes parallel to a third plane are parallel.
(d) twoplanes perpendicular to a third plane are parallel.
(e) twolines parallel to a plane are parallel.
(f) twolines perpendicular to a plane are parallel.
(g) twoplanes parallel to a line are parallel.
(h) twoplanes perpendicular to a line are parallel.
(i) twoplanes either intersect or are parallel.
(j) twolines either intersect or are parallel.
(k) a plane and a line either intersector are parallel.

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

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

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

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

(i) Two planes either intersect or are parallel.

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

Step-by-step explanation:

(b) Two lines perpendicular to a third line are parallel. -- No. The y-, and z-axes are perpendicular to the x-axis, but are not parallel.

(d) Two planes perpendicular to a third plane are parallel. -- No. The x-y and y-z coordinate planes are both perpendicular to the x-z coordinate plane, but are at right angles to each other.

(e) Two lines parallel to a plane are parallel. -- No. Two intersecting lines in the plane z=0 are both parallel to the plane z=1, but are not parallel to each other.

(g) Two planes parallel to a line are parallel. -- No. Both the x-z plane and the y-z plane are parallel to the line (x, y, z) = (1, 1, z), but those coordinate planes are perpendicular to each other.

(j) Two lines either intersect or are parallel. -- No. The lines may be skew, running different directions in parallel panes.

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step-by-step explanation: