Always, Sometimes, & Never
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.
