1. Name ______________________________________________ Geometry Chapter 3
Review Sheet
I) Theorems You Should Know
Vertical Angles Theorem
Congruent Supplements Theorem
Congruent Complements Theorem
Alternate Interior Angles Theorem, AIA – if two parallel lines are cut by a transversal then each pair of alternate interior angles is congruent.
Same-Side Interior Angles Theorem, CIA – if two parallel lines are cut by a transversal then then each pair of consecutive interior angles is supplementary.
Alternate Exterior Angles Theorem, AEA) – if two parallel lines are cut by a transversal then then each pair of alternate exterior angles is congruent.
Converse of Alternate Interior Angles Theorem - if two lines in a plane are cut by a transversal so that a pair of alternate exterior angles are congruent, then the lines are parallel.
Converse of Same-Side Interior Angles Theorem - if two lines in a plane are cut by a transversal so that a pair of consecutive interior angles are supplementary, then the lines are parallel.
Converse of Alternate Exterior Angles Theorem - if two lines in a plane are cut by a transversal so that a pair of alternate interior angles are congruent, then the lines are parallel.
In a plane, if a two lines are parallel to the same line, then they are parallel to each other.
In a plane, if a two lines are perpendicular to the same line, then they are parallel.
In a plane if a line is perpendicular to one of two parallel lines, then it is also perpendicular to the other.
II) Postulates You Should Know
Segment Addition Postulate
Angle Addition Postulate
Corresponding Angles –if two parallel lines are cut by a transversal then each pair of then corresponding angles is congruent.
Converse of Corresponding Angles Postulate if two lines in a plane are cut by a transversal so that a pair of corresponding angles are congruent, then the lines are parallel.

2. III) Properties I should know
Properties of Equality
Addition
Subtraction
Multiplication
Division
Reflexive
Symmetric
Transitive
Substitution
Distributive
Properties of Congruence
IV) Terms You Should Know
Alternate Exterior Angles
Alternate Interior Angles
Same Side Interior Angles
Corresponding Angles
Same Side Exterior Angles
Transversal

3. V) State the transversal that forms each pair of angles
V) State the transversal that forms each pair of angles. Then identify the special angle pair name p l m
1)  5 and  7
2)  1 and  8
3)  4 and  10
4)  1 and  3 4 3 5 2 7 1 6 8 n 11 9 10
VI) Find the measure of each angle given
State reason why.
5) m 1 =
6) m 2 =
7) m 4 =
8) m 5 =
9) m 6 = G F 3 C 1 2 D 5 4 6 E H
VII) Find the value of x and y so that 9)
10)
(2x – 3)°
(2y + 7)°
(3x - 72)°
(4y - 37)°

4. VIII) Given the following information which lines are parallel and why?B
11)  1 and  2 are supplementary
12)  5   6
13) m 4 + m 5 = 180
14)  6   2 6 1 E 5 4 A 3 2 C D 1 2 3 4 5 a b l m
IX) Proofs l m a 1 b 3 2
IX) True/False and Fill in the Blank

5. Chapter 3 Parallel Lines Review Sheet Answers
Geometry
Chapter 3 Parallel Lines
Review Sheet Answers
Name ______________________________________________
V) State the transversal that forms each pair of angles. Then identify the special angle pair name
1) p consecutive interior angles
2) n corresponding angles
3) p alternate exterior angles
4) l alternate interior angles
VI) Find the measure of each angle given
State reason why.
5) m 1 = 40°
VA are congruent
6) m 2 = 140°
If two parallel lines are cut by a transversal then
SSI angles are supp
7) m 4 = 40°
CA are congruent
8) m 5 = 140°
Linear pair with  1
9) m 6 = 40°
VII) Find the value of x and y so that
9) x = 69
10) y = 35
VIII) Given the following information which lines are parallel and why?

6. IX) Proofs
15)
16)