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Angle Relationships- Geometry
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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
 
Corresponding Angles Converse
 
Alternate Interior Angles Converse
 
Alternate Exterior Angles Converse
If a transversal is perpendicular to one of two parallel lines, then it is perpendicular to the other.
 
Perpendicular Transversal Theorem
 
Corresponding Angles Converse
 
Alternate Interior Angles Converse
 
Alternate Exterior 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
 
Corresponding Angles Converse
 
Alternate Interior Angles Converse
 
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
 
Corresponding Angles Converse
 
Alternate Interior Angles Converse
 
Consecutive 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
 
Corresponding Angles Converse
 
Alternate Exterior Angles Converse
 
Consecutive Interior 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
 
Alternate Interior Angles Converse
 
Alternate Exterior Angles Converse
 
Consecutive Interior Angles Converse
If two parallel lines are cut by a transversal, then the pairs of consecutive interior angles are supplementary.
 
Consecutive Interior Angles Theorem
 
Corresponding Angles Postulate
 
Alternate Interior Angles Theorem
 
Alternate Exterior Angles Theorem
If two parallel lines are cut by a transversal, then the alternate exterior angles are congruent.
 
Alternate Exterior Angles Theorem
 
Corresponding Angles Postulate
 
Alternate Interior Angles Theorem
 
Consecutive Interior Angles Theorem
If two parallel lines are cut by a transversal, then the alternate interior angles are congruent.
 
Alternate Interior Angles Theorem
 
Alternate Exterior Angles Theorem
 
Consecutive Interior Angles Theorem
 
Corresponding Angles Postulate
If two parallel lines are cut by a transversal, then the pairs of corresponding angles are congruent.
 
Corresponding Angles Postulate
 
Alternate Interior Angles Theorem
 
Alternate Exterior Angles Theorem
 
Consecutive Interior Angles Theorem
If two angles form a linear pair, then they are supplementary.
 
Linear Pair Postulate
 
Corresponding Angles Postulate
 
Alternate Exterior Angles Theorem
 
Consecutive Interior Angles Theorem
Vertical angles are congruent.
 
Vertical Angles Congruence Theorem
 
Linear Pair Postulate
 
Corresponding Angles Postulate
 
Alternate Interior Angles Theorem
Angles that are on the same side of the transversal and inside the two lines.
 
Consecutive Interior Angles
 
Supplementary Angles
 
Corresponding Angles
 
Alternate Exterior Angles
Angles that lie outside a pair of lines and on opposite sides of a transversal.
 
Alternate Exterior Angles
 
Supplementary Angles
 
Corresponding Angles
 
Consecutive Interior Angles
Angles between two lines and on opposite sides of a transversal.
 
Alternate Interior Angles
 
Consecutive Interior Angles
 
Corresponding Angles
 
Supplementary Angles
Angles that lie on the same side of the transversal and in corresponding positions.
 
Corresponding Angles
 
Alternate Interior Angles
 
Alternate Exterior Angles
 
Consecutive Interior Angles
A pair of adjacent angles whose non-adjacent sides form opposite rays. (And these angles are also supplementary.)
 
Linear Pair
 
Complementary Angles
 
Vertical Angles
 
Corresponding Angles
A pair of opposite congruent angles formed by intersecting lines.
 
Vertical Angles
 
Complementary Angles
 
Linear Pair
 
Corresponding Angles
Angles whose sum is 180 degrees.
 
Supplementary Angles
 
Complementary Angles
 
Linear Pair
 
Alternate Interior Angles
Two angles whose sum is 90 degrees.
 
Complementary Angles
 
Supplementary Angles
 
Vertical Angles
 
Corresponding Angles


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