Unit 3 Flashcards
(22 cards)
Parallel lines
Coplanar lines that never meet
Skew lines
lines that do not intersect, but they are not coplanar
CA
- Corresponding Angles
* occupy same position
AIA
- Alternate Interior Angles
* In between black lines, opposite sides of transversal
AEA
- Alternate Exterior Angles
* Outside of lines, opposite sides of transversal
CIA
*Consecutive Interior Angles
(theorem)
if 2 lines intersect forming a linear pair of congruent angles then they are perpendicular
If lines g and h intersect to form a linear pair of congruent angles
Then they are perpendicular
(theorem)
Perpendicular adjacent angles are complementary
If 2 sides of adjacent acute angles are perpendicular
Then the angles are complementary
(theorem)
Perpendicular lines form 4 right angles
If 2 lines are perpendicular
Then they form 4 right angels
CA postulate
If parallel lines
Then corresponding angels are congruent
AIA theorem
If parallel lines
Then alternate interior angels are congruent
AEA theorem
If parallel lines
Then alternate exterior angles are congruent
CIA theorem
If parallel lines
Then consecutive interior angels are supplementary
Perpendicular transversal theorem
If a transversal is perpendicular to one parallel line
Then the transversal is perpendicular to the other parallel line
CA converse
If CA are congruent
Then lines are parallel
AIA converse
If AIA are congruent
Then lines are parallel
AEA Converse
IF AEA are congruent
Then lines are parallel
CIA Converse
If CIA are supplementary
Then lines are parallel
(theorem)
2 lines ll to same line are ll
If p ll r and r ll s
Then p ll s
(theorem)
2 lines perpendicular to same line are ll
IN A PLANE
If n is perpendicular to p, and m is perpendicular to p
Then m ll n
(postulate)
parallel lines have same slope
If 2 lines are ll
Then they have the same slope
Slopes of perpendicular lines
If 2 lines are perpendicular
Then slopes are opposite recipricols
