Math True Or False

Front 1

One and only one distinct line can be drawn through two different points.

Back 1

True

Front 2

One and only one distinct plane can be made to pass through three non-collinear points.

Back 2

True

Front 3

One and only one distinct plan can be made to pass through one line and a point not on the line.

Back 3

True

Front 4

If a line intersects a plan not containing it, then the intersection is exactly one point.

Back 4

True

Front 5

If two lines are perpendicular to the same line, then they are parallel.

Back 5

False

Front 6

If two different planes intersect, then their intersection is a line.

Back 6

True

Front 7

If a line and a plane have no points in common, then they are parallel.

Back 7

True

Front 8

If two planes do not intersect, then they are parallel.

Back 8

True

Front 9

If a plane intersects two parallel planes, then the lines of intersection are parallel.

Back 9

True

Front 10

If three random planes intersect (no two parallel and no three through the same line), then they divide space into six parts.

Back 10

False

Front 11

If a line is perpendicular to two lines in a plane but the line is not contained in the plane, then the line is perpendicular to the plane.

Back 11

True

Front 12

If two lines are perpendicular to the same plane, then they are parallel to each other.

Back 12

True