Alg 1H: 11.3 Angle Relationships

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Angles that lie outside a pair of lines and on opposite sides of a transversal.

Alternate Exterior Angles

If angle 1 is congruent to angle 8, which theorem/postulate proves line a is parallel to line m?

Alternate Exterior Angles Converse

Two lines are cut by a transversal, if the pairs of alternate exterior angles are congruent, then the two lines are parallel.

Alternate Exterior Angles Converse

If line a is parallel to line m, which theorem/postulate proves angle 1 is congruent to angle 8 or angle 2 congruent to angle 7?

Alternate Exterior Angles Theorem

If two parallel lines are cut by a transversal, then the alternate exterior angles are congruent.

Alternate Exterior Angles Theorem

Angles between two lines and on opposite sides of a transversal.

Alternate Interior Angles

If angle 4 is congruent to angle 5, which theorem/postulate proves line a is parallel to line m?

Alternate Interior Angles Converse

Two lines are cut by a transversal, if the pairs of alternate interior angles are congruent, then the two lines are parallel.

Alternate Interior Angles Converse

If line a is parallel to line m, which theorem/postulate proves angle 3 is congruent to angle 6 or angle 5 congruent to angle 4?

Alternate Interior Angles Theorem

If two parallel lines are cut by a transversal, then the alternate interior angles are congruent.

Alternate Interior Angles Theorem

Two angles whose sum is 90 degrees.

Complementary Angles

Angles that are on the same side of the transversal and inside the two lines.

Consecutive Interior Angles

If angle 4 and angle 6 are supplementary, which theorem/postulate proves line a is parallel to line m?

Consecutive Interior Angles Converse

Two lines are cut by a transversal, if the pairs of consecutive interior angles are supplementary, then the two lines are parallel.

Consecutive Interior Angles Converse

If line a is parallel to line m, which theorem/postulate proves angle 4 and angle 6 or angle 3 and angle 5 are supplementary?

Consecutive Interior Angles Theorem

If two parallel lines are cut by a transversal, then the pairs of consecutive interior angles are supplementary.

Consecutive Interior Angles Theorem

Angles that lie on the same side of the transversal and in corresponding positions.

Corresponding Angles

If angle 1 is congruent to angle 5, which theorem/postulate proves line a is parallel to line m?

Corresponding Angles Converse

Two lines are cut by a transversal, if the pairs of corresponding angles are congruent, then the two lines are parallel.

Corresponding Angles Converse

If line a is parallel to line m, which theorem/postulate proves angle 3 is congruent to angle 7 or angle 2 congruent to angle 6?

Corresponding Angles Postulate

If two parallel lines are cut by a transversal, then the pairs of corresponding angles are congruent

Corresponding Angles Postulate

A pair of adjacent angles whose non-adjacent sides form opposite rays. (And these angles are also supplementary.)

Linear Pair

If two angles form a linear pair, then they are supplementary

Linear Pair Postulate

Which theorem/postulate proves angle 1 and angle 3 or angle 5 and angle 6 are supplementary?

Linear Pair Postulate

In a plane, if two lines are perpendicular to the same line, then they are parallel to each other.

Lines Perpendicular to a Transversal Theorem

Which theorem can be use to prove m is parallel to n, given that m is perpendicular to p and n is perpendicular to p?

Lines Perpendicular to a Transversal Theorem

If a transversal is perpendicular to one of two parallel lines, then it is perpendicular to the other.

Perpendicular Transversal Theorem

Which theorem can be used to prove j is perpendicular to k, given that j is perpendicular to h and h is parallel to k?

Perpendicular Transversal Theorem

Angles whose sum is 180 degrees.

Supplementary Angles

A pair of opposite congruent angles formed by intersecting lines.

Vertical Angles

Vertical angles are congruent

Vertical Angles Congruence Theorem

Which theorem/postulate proves angle 3 is congruent to angle 2 or angle 5 congruent to angle 8?

Vertical Angles Congruence Theorem


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