GEOMETRY QUIZ –Parallel and Perpendicular Lines - Review
A. Lines and Angles
 Identify parallel lines, skew lines, parallel planes
 Parallel and perpendicular postulates
Corresponding angles:
 Identify angles formed by a transversal
1 and 5, 3 and 7,
2
2 and 6, 4 and 8
1
4
Consecutive Interior angles:
3
3 and 5, 4 and 6
6
5
Alternate Interior angles: 4
8
and 5, 3 and 6
7
Alternate Exterior angles: 1
and 8, 2 and 7
When lines are parallel, corresponding, alternate interior and alternate exterior
are congruent -- consecutive interior are supplementary.
B. Parallel Lines
1. Prove angles are congruent or supplementary
 Angles formed by a transversal
 Find measures of missing/unknown angles
2. Prove lines are parallel (use CONVERSES)
 Converses to theorems
 Find values of variables which will prove lines are parallel
 Find slopes to prove lines are parallel
 Write equation of a line parallel to another line
C. Theorems (in this chapter)
 Alternate Interior Angle Thm & Alternate Interior Angle Converse Thm
 Consecutive Interior Angle Thm & Consec. Interior Angle Converse Thm
 Alternate Exterior Angle Thm. & Alternate Exterior Angle Converse Thm
 Corresponding Angle Post. & Corresponding Angle Converse Post.
 Perpendicular Linear Pair Thm
 Perpendicular Complementary Thm
 Perpendicular 4 Right Angles Thm
 Parallel Parallels
 Perpendicular Parallels
 Slopes of Parallel lines Postulate
 Slopes of Perpendicular Lines Postulate
 Parallel Postulate, Perpendicular Postulate
D. Perpendicular lines
 Find missing angle or value of a variable
 Prove lines are perpendicular
 Find slopes of lines – if product = -1, then they’re perpendicular
 Write equation of a line perpendicular to another line
 Use perpendicular lines to find equation of an altitude in a triangle and
distance formula to find length of the altitude.
E. Vocabulary