1. Geometry/Trig 2 Name: __________________________
Unit 3 Review Packet – Page 2 – Answer Key Date: ___________________________
Section IV – Determine which lines, if any, are parallel based on the given information.
1.) mÐ1 = mÐ9 c || d
2.) mÐ1 = mÐ4 None
3.) mÐ12 + mÐ14 = 180 a || b
4.) mÐ1 = mÐ13 None
5.) mÐ7 = mÐ14 c || d
6.) mÐ13 = mÐ11 None
7.) mÐ15 + mÐ16 = 180 None
8.) mÐ4 = mÐ5 a || b 1 2 9 10 a 3 4 11 12 5 6 13 14 b 7 8 15 16 c d J
Section II - Proofs
1. Given: GK bisects ÐJGI; mÐ3 = mÐ2
Prove: GK || HI 1 G K 2
Statements
Reasons
1. Given
1. GK bisects ÐJGI 3
2. mÐ1 = mÐ2
2. Definition of an Angles Bisector I H
3. mÐ3 = mÐ2
3. Given
4. mÐ1 = mÐ3; Ð1  Ð3
4. Substitution
5. GK || HI
5. If two lines are cut by a transversal and corresponding angles are congruent, then the lines are parallel.

2. Geometry/Trig 2 Unit 3 Proofs Review – Answer Key Page 2
2. Given: AJ || CK; mÐ1 = mÐ5 Prove: BD || FE A C
Reasons
Statements 1 2 3
1. AJ || CK 1. Given
2. mÐ1 = mÐ3 2. If two parallel lines are
Ð1  Ð3 cut by a transversal, then corresponding angles are congruent.
3. mÐ1 = mÐ5 3. Given
4. mÐ3 = mÐ5 4. Substitution
Ð3  Ð5
5. BD || FE 5. If two lines are cut by a transversal and corresponding angles are congruent, then the lines are parallel. B D 4 5 F E J K
3. Given: ST || QR; Ð3 Prove: Ð3 P
Statements
Reasons
ST || QR 1. Given
2. Ð2 2. If two parallel lines are cut by a transversal, then corresponding angles are congruent.
3. Ð3 3. Given
4. Ð3 4. Substitution 1 3 S T 2 Q R

3. 4. Given: a || b; Ð3 @ Ð4 Prove: Ð10 @ Ð1 1 2 a Statements Reasons 3 45
1. Ð Given
2. Ð3 2. Vertical Angles Theorem
3. Ð Substitution
4. a || b 4. Given
5. Ð7 5. If lines are parallel, then alternate interior angles are congruent.
6. Ð7 6. Substitution
7. Ð Vertical Angles Theorem
8. Ð Substitution 6 7 8 b 10 9 c d
5. Given: a || b
Prove: Ð1 and Ð7 are supplementary. 1 3 b 4 5 6 7 a
Statements
Reasons 8 2
1. a || b 1. Given
2. mÐ1 + mÐ4 = Definition of Linear Pair/Angle Addition Postulate
3. mÐ4 = mÐ7; Ð4  Ð If lines are parallel, then alternate interior angles are congruent.
4. mÐ1 + mÐ7 = Substitution
5. Ð1 and Ð7 are supplementary 5. Definition of supplementary angles

4. Geometry/Trig 2 Name: __________________________
Unit 3 Review Packet – Page 5 – Answer Key Date: ___________________________
6. Given: BE bisects ÐDBA; Ð3 Prove: CD // BE
Statements
Reasons
1. BE bisects ÐDBA 1. Given
2. Ð3 2. Definition of an Angle Bisector
3. Ð3 3. Given
4. Ð1 4. Substitution
5. CD // BE 5. If two lines are cut by a transversal and alternate interior angles are congruent, then the lines are parallel. C B 2 3 1 A D E

5. Geometry/Trig 2 Name: __________________________
Unit 3 Review Packet – page 6 – Answer Key Date: ___________________________ 7.
Given: AB // CD; BC // DE
Prove: Ð6
Statements
Reasons
1. AB // CD 1. Given
2. Ð4 2. If two parallel lines are cut by a transversal, then alternate interior angles are congruent.
3. BC // DE 3. Given
4. Ð6 4. If two parallel lines are cut by a transversal, then alternate interior angles are congruent.
5. Ð6 5. Substitution B D 2 6 4 1 3 5 7 A C E 8.
Given: AB // CD; Ð6
Prove: BC // DE
Statements
Reasons
1. AB // CD 1. Given
2. Ð4 2. If two parallel lines are cut by a transversal, then alternate interior angles are congruent.
3. Ð6 5. Given
4. Ð6 4. Substitution
5. BC // DE 3. If two lines are cut by a transversal and alternate interior angles are congruent, then the lines are parallel. B D 2 6 4 1 3 5 7 A C E

6. Geometry/Trig 2 Name: __________________________
Unit 3 Review Packet – page 7– Answer Key Date: ___________________________
Section VI – Solve each Algebra Connection Problem. 1. 2. w
4x - 5
23y
z + 57 x
65°
125°
37° 2y
w = 37
x = 143
y = 71.5
z = 86
x = 30
y = 5 3. 4.
30°
x + 12 6x
8x + 1 y 5x
75°
x = 21
y = 75
x = 11 5. 6. A B
4x + 13
4x + 25 5x
4x + 17
80°
83° 6x 6x D C
x = 20
Is AB // DC? yes
Is AD // BC? no
4x + 25
4x + 13
x = 23

7. Geometry/Trig 2 Name: __________________________
Unit 3 Review Packet – page 8 – Answer Key Date: ___________________________
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
Triangle
180 60
360
120 4
Quadrilateral 90 2 5
Pentagon
540
108 72 6
Hexagon
720 9 7
Heptagon OR
Septagon
900
128.57
51.43 14 8
Octagon
1080
135 45 20
Nonagon
1260
140 40 27 10
Decagon
1440
144 36 35 n
n-gon