3.4 Flashcards
Thm 3.3
If two lines are perpendicular then they intersect to form four right angles.
Thm 3.4
All right angles are congruent
Thm 3.5
If two lines intersect to form a pair of adjacent congruent angles, then the lines are perpendicular
Transversal
A line that intersects two or more coplanar lines at different points
Corresponding angles
Two angles are are corresponding angles if they occupy corresponding positions
Alternate interior angles
Two angles are alternate interior angles if they lie between l and m on opposite sides of t
Alternate exterior angles
Two angles are alternate exterior angles if they lie outside l and m on opposite sides of t
Consecutive interior angles
Two angles are consecutive interior angles if they lie between l and m on opposite sides of t
Corresponding angles postulate
If two parallel lines are cut by a transversal then the pairs of corresponding angles are congruent.
Alternate interior angles theorem
If two parallel lines are cut by a transversal, then the pairs of alternate interior angles are congruent
Consecutive interior angles thm
If two parallel lines are cut by a transversal then the pairs of alternate exterior angles are congruent
Alternate exterior angles thm
If two parallel lines are cut by a transversal, then the pairs of alternate exterior angles are congruent
Perpendicular transversal thm
If a transversal is perpendicular to one of two parallel lines, then it is perpendicular to the second
Corresponding angles converse
If two lines are cut by a transversal so that corresponding angles are congruent, then the lines are parallel