Always, Sometimes, & Never

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sometimes

three lines intersecting in one point __?__ coplanar

never

two lines in the plane of the floor are __?__ skew

always

two lines parallel to a third line are __?__ parallel to each other

always

two lines parallel to a third line are parallel to each other

sometimes

two lines parallel to the same plane are __?__ parallel to each other

sometimes

two lines parallel to the same plane are parallel to each other

sometimes

two lines perpendicular to a third line are __?__ perpendicular to each other

sometimes

two lines perpendicular to a third line are perpendicular to each other

sometimes

two lines skew to a third line are __?__ skew to each other

sometimes

two lines skew to the same line are skew to each other

never

two lines that are not co planar __?__ intersect

sometimes

two planes __?__ intersect.

sometimes

two planes parallel to the same line are __?__ parallel to each other

sometimes

two planes parallel to the same line are parallel to each other

always

two planes parallel to the same plane are __?__ parallel to each other

always

two planes parallel to the same plane are parallel to each other

always

when there is a transversal of two line, the three lines are __?__ coplanar

never

Through a point outside a plane there are infinitively many planes parallel to that plane.

sometimes

Two lines in the same plane are __?__ parallel.

never

Two lines in the same plane are __?__ skew.

always

Two lines perpendicular to the same plane are parallel to each other.

never

Two noncoplanar lines __?__ intersect.

sometimes

a horizontal line in New York is parallel to a horizontal line in London

sometimes

a line in the plane of a ceiling and a line in the plane of a floor are __?__ parallel

sometimes

a line which intersects one of two parallel lines interests the other also

always

a plane and a line not in that plane which are parallel to the same line are parallel to each other

always

a plane and a line not in that plane which are parallel to the same plane are parallel to each other

never

a plane not containing any vertex of a triangle but intersecting two sides of that triangle intersects the third side also

always

a plane that contains two sides of a triangle contains the third side also

never

a vertical pole in New York is parallel to a vertical pole in London

always

give two skew lines, it is possible to find a plane containing one of the lines and parallel to the other line

always

given two skew lines, there exist infinitely many planes parallel to both of the lines

always

given two skew lines, there exists a line perpendicular to both of the skew lines

sometimes

if a line is parallel to a plane, a plane containing that line is __?__ parallel to the given plane

always

if a plane and a line not in that plane are perpendicular to the same plane, they are parallel to each other.

always

if line k is parallel to plane P and plane Q contains k, and Q intersects P in a line m, them m is parallel to k

always

if two angles have parallel sides, the angles are either congruent or supplementary

always

in a plane, a line which intersects one of two parallel lines intersects the other also

never

in a plane, two lines perpendicular to the same line are perpendicular to each other

sometimes

lines in two parallel planes are __?__ parallel to each other

sometimes

A line and a plane __?__ have exactly one point of intersection.

always

If a plane and a line not in that plane are perpendicular to the same line, they are parallel to each other.


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