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Flashcards in Parallel Theorems Deck (16)
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Q

If two lines are cut by a transversal such that two interior angles on the same side of the transversal are supplementary,

A

then the lines are parallel.

1
Q

The measure of an exterior angle of a triangle

A

is greater than the measure of either remote interior angle.

2
Q

If two lines are cut by a transversal such that two exterior angles on the same side of the transversal are supplementary,

A

then the lines are parallel.

3
Q

If two coplanar lines are perpendicular to a third line,

A

then they are parallel.

4
Q

If two parallel lines are cut by a transversal,

A

then any pair of the angles formed are either congruent or supplementary.

5
Q

If two parallel lines are cut by a transversal,

A

then each pair of interior angles on the same side of the transversal are supplementary.

6
Q

If two parallel lines are cut by a transversal,

A

then each pair of exterior angles on the same side of the transversal are supplementary.

7
Q

In a plane, if a line is perpendicular to one of two parallel lines,

A

then it is perpendicular to the other.

8
Q

If two lines are parallel to a third line,

A

then they are parallel to each other.

9
Q

If a line is perpendicular to two distinct lines that lie in a plane and that pass through the foot,

A

then it is perpendicular to the plane.

10
Q

If a plane intersects two parallel planes,

A

then the lines of intersection are parallel.

11
Q

If two planes are perpendicular to the same line,

A

then they are parallel to each other.

12
Q

If a line is perpendicular to one of two parallel planes,

A

then it is perpendicular to the other plane as well.

13
Q

If two planes are parallel to the same plane,

A

then they are parallel to each other.

14
Q

If two lines are perpendicular to the same plane,

A

then they are parallel to each other.

15
Q

If a plane is perpendicular to one of two parallel lines,

A

then it is perpendicular to the other line as well.