1. Geometry/Trig Name: __________________________
Unit 3 Review Packet Date: ___________________________
Section I – Identify the pairs of angles. Lines are not necessarily parallel.
1. Ð7 & Ð11 ________________________________
2. Ð3 & Ð6 _________________________________
3. Ð8 & Ð16 ________________________________
4. Ð2 & Ð7 _________________________________
5. Ð3 & Ð5 _________________________________
6. Ð1 & Ð16 _________________________________
7. Ð1 & Ð6 __________________________________
8. Ð1 & Ð4 __________________________________ 1 2 3 4 6 8 7 5 9 10 11 12 14 16 15 13 b a d c
Section II – Fill In The Blank.
Vertical angles are ______________________________________
If two lines are parallel, then corresponding angles are ___________________________________
If two lines are parallel, then alternate interior angles are ________________________________
If two lines are parallel, then alternate exterior angles are ________________________________
If two lines are parallel, then same side interior angles are ________________________________
If two lines are parallel, then same side exterior angles are _______________________________
Section III – Name the three main ways to prove that lines are parallel.
1. ____________________________________________________________________
______________________________________________________________________
2. ____________________________________________________________________
3. ____________________________________________________________________

2. Geometry/Trig Unit 3 Review Packet Page 2
Section IV – Determine which lines, if any, are parallel based on the given information.
1.) Ð1  Ð9 _________________________
2.) Ð1  Ð4 _________________________
3.) mÐ12 + mÐ14 = 180 _________________________
4.) Ð1  Ð13 _________________________
5.) Ð7  Ð14 _________________________
6.) mÐ13 = mÐ11 _________________________ 1 2 3 4 6 8 7 5 9 10 11 12 14 16 15 13 b a c d
Section V - Proofs 1 3
1. Given: a || b
Prove: Ð1 and Ð7 are supplementary
(We’ve completed this proof numerous times in class. It may take you more steps than this.) b 4 5 6 7 a 8 2
Statements
Reasons 1. 1. 2. 2. 3. 3. 4. 4. 5. 5.

3. Geometry/Trig Unit 3 Review Packet Page 31 2 3 4 5 A C D E F B J K
Given: AJ || CK; mÐ1 = mÐ5
Prove: BD || FE
Reasons
Statements
1. _________________________
Given
mÐ1 = mÐ3; 1  3
2. ___________________________
___________________________
3. _________________________
Given
4. _________________________
Substitution
5. _________________________
___________________________ P
3. Given: ST || QR; Ð3
Prove: Ð3 1 3 S T 2 Q R
Statements
Reasons
1. _________________________
1. ____________________________
2. Ð2
2. ____________________________
___________________________
___________________________
3. _________________________
3. Given 4.
4. ____________________________

4. Geometry/Trig Unit 3 Review Packet Page 41 3 4 5 6 7 8 9 10 2 b a c d
4. Given: a || b; Ð4
Prove: Ð1
Statements
Reasons
1. _________________________
Given
1  3
2. ___________________________
3. _________________________
Substitution
4. a || b
4. ___________________________
5. 4  7
5. ___________________________
___________________________
___________________________
6. _________________________
Substitution
7. 7  10
7. ___________________________
8. _________________________
Substitution J G K I H 2 1 3
5. Given: GK bisects ÐJGI; Ð3  Ð2
Prove: GK || HI
Statements
Reasons
1. _________________________
Given
Ð1  Ð2
2. ___________________________
3. _________________________
Given
4. _________________________
4. ___________________________
5. _________________________
5. If _____________________ angles are congruent, then the lines are parallel.

5. Unit 3 Review Packet – Page 5
Geometry/Trig
Unit 3 Review Packet – Page 5
Section VI – Solve each problem. 1. 2. w
Hint: Find same-side interior angles.
100°
2x + y
z + 57 x
5x + y
37° 2y
5x - y
w = _______
x = _______
y = _______
z = _______
x = _______
y = _______ 3. 4.
30°
x + 12 6x
8x + 1 y 5x
75°
x = _______
y = _______
x = _______ 5. 6.
mA = _______
mCBD = _______
mABC = _______ A B D C y
115°
45° x
30°
60° z
Classify each triangle by its sides and angles:
CBD ___________________________
ABC ___________________________
ABD ___________________________
x = _______
y = _______
z = _______

6. Unit 3 Review Packet – Page 6
Geometry/Trig
Unit 3 Review Packet – Page 6
Section VII – Complete the chart and answer the questions related to polygons..
Number of Sides
Name of polygon
Sum of interior angles.
Measure of each interior angle if it was a regular polygon
Sum of the Exterior Angles
Measure of each exterior angle if it was a regular polygon.
Number of Diagonals that can be drawn. 3 4 5 6 7 8 9 10 n 1.
4x + 13
4x + 25 6x 2. A B 5x
4x + 17
80°
83° D C
x = _______
Is AB || DC? __________
Is AD || BC? __________
x = _______