What We Have Discussed

Linear pair axiom: If a ray stands on a straight line, then the sum of the two adjacent angles so formed is °.

Converse of linear pair axiom: If the sum of two adjacent angles is 180°, then the non-common arms of the angles form a .

If two lines intersect each other, then the vertically opposite angles are .

Axiom of corresponding angles: If a transversal intersects two parallel lines, then each pair of corresponding angles are .

If a transversal intersects two parallel lines, then each pair of alternate interior angles are .

If a transversal intersects two parallel lines, then each pair of interior angles on the same side of the transversal are .

Converse of axiom of corresponding angles: If a transversal intersects two lines such that a pair of corresponding angles are equal, then the two lines are to each other.

If a transversal intersects two lines such that a pair of alternate interior angles are equal, then the two lines are .

If a transversal intersects two lines such that a pair of interior angles on the same side of the transversal are supplementary, then the two lines are .

Lines which are parallel to a given line are to each other.

The sum of the angles of a triangle is °.

If a side of a triangle is produced, then the exterior angle so formed is equal to the of the two interior opposite angles.