Question

If two planes, P1 and P2, are parallel, then
(a) any line in P1 is parallel to any line in P2.
(b) AB=CD whenever A and C are in P1 and B and D are in P2
(c) any line that intersects P1 in exactly one point will intersect P2 in exactly one point.
(d) any line parallel to P1 will intersect P2
(e) any line that intersects P1 in more than one point must intersect P2 in more than one point.

Answer 1

is this a which is true type of problem?

Answer 2

yup

Answer 3

(c) any line that intersects P1 in exactly one point will intersect P2 in exactly one point.

Answer 4

A) not true, the lines may be skew
B) nothing states that the line segments cant be in the same plane
D)if the line is parallel to P1 , then it will either be parallel to P2 or on P2
E)not true, if you have a circle that passes through 2 points ni P2 but only touches P1 at one point

Answer 5

i think A is true. you can draw a plane that contains both lines. so they are parallel in the same plane. (just like you can always draw a line thru two points.)

Answer 6

B is not true always. its sometimes true. you need to visualize distance between points in each plane. and across planes.

Answer 7

C is true - can be easily seen in @kartiksriramk diagram above

rest of the options are obviously false