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Angles and Lines
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Key Concepts:
Terms in this set (17)
Given
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Congruent Supplements Theorem
If angles are supplementary to the same angle then those two angles are congruent
Congruent Complements Theorem
If angles are complementary to the same angle then those two angles are congruent
Perpendicular
Two lines that intersect and form a right angle (90°)
Symbol ⟂
Transversal line
A third line that intersects to others
Parallel Lines
Two lines on a plane that never meet. They are always the same distance apart.
Symbol: ||
Skew Lines
Two nonparallel lines that not are not on same plane that do not intersect
Corresponding Angles
Same side of transversal in similar positions. One point interior and one has to be exterior. They have equal measure.
Alternate Interior Angles
Interior angles on alternative sides of the transversal. All are equal.
Same-Side Interior Angles
Two points that are on the same side of the transversal and are inside of the parallel lines. They are Supplementary
Alternate Exterior Angles
parallel lines are cut by a transversal, then alternate exterior angles are congruent.
Alternate Exterior Angles Converse Theorem
If two lines are cut by a transversal so that alternate exterior angles are congruent, then the lines are parallel.
alternate interior angles converse theorem
If two lines are cut by a transversal so that alternate interior angles are congruent, then the lines are parallel.
Corresponding Angles Converse
If two lines are cut by a transversal so the corresponding angles are congruent, then the lines are parallel.
same side interior angles converse theorem
If two lines are cut by a transversal so the same side interior angles are supplementary, then the lines are parallel.
Parallel Slopes
Same slope, different y-int
perpendicular slope
Perpendicular lines have slopes that are the opposite and the reciprocal of the original slope Normal: 1/2 Perpendicular: -2
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