1. Hint: Set up & solve a system of equations.
Geometry/Trig Name __________________________
Quiz 3-1, 3-2, Date ______________ Block _______
I. Identify the types of angles. (Lines aren’t necessarily parallel).
3 and 8
2) 3 and 7
3) 1 and 15
4) 15 and 11
5) 8 and 13
6) 13 and 14
7) 15 and 9
8) 5 and 6
_____________________________ a b d 1 5 2 6 3 7 4 8 13 14 9 10 11 12 15 16 c
II. In the below diagrams, solve for the missing variables. Leave any non-integer answers as simplified fractions. 9)
10)
11) xº
(x+y)º
(2x+7y)º
16º
52º
2xº
70º
(3y+11)º
130º
Hint: Set up & solve a system of equations. yº zº
68º
x = _____
y = _____
z = _____
x = _____
y = _____
x = _____
y = _____
III. Use the diagram to the right to name each figure that is described. You must use proper notation.
12) Name two parallel lines. _________________ ) Name two intersecting lines. _____________
14) Name two skew lines. __________________
15) Name two parallel planes. _____________________
16) Classify GF and AB as parallel, intersecting or skew. ____________
17) Classify GE and DB as parallel, intersecting or skew. ____________
18) Classify DE and DF as parallel, intersecting or skew. ____________ A B C D F G E H

2. IV. Complete the below proofs.6 5 4 8 3 1 2 7 k l t
19)
Given: k || l
Prove: 1 is supplementary to 7
Statements
Reasons
1. ________________________________
1. ______________________________
1 and 4 are supplementary
2. ______________________________
______________________________
3. ________________________________
3. Definition of Supplementary Angles
4. ________________________________
Vertical Angles are Congruent
5. ________________________________
5. _____________________________
1 is supplementary to 7
6. _____________________________
20)
Given: 1 is supplementary to 7
Prove: k || l
Use the diagram above.
Statements
Reasons
1 and 7 are supplementary
1. ______________________________
2. ________________________________
2. ______________________________
3. ________________________________
Definition of Linear Pair
m1 + m7 = m7 + m8
4. ______________________________
5. ________________________________
Subtraction
6. ________________________________
6. ______________________________
______________________________
21) Note: this proof can be completed many different ways (minimum of 4 steps!!) Given: k || l Prove: 3  6
Use the diagram above.
Statements
Reasons

3. Geometry/Trig Quiz 3-1, 3-2, 3-3 Page 3j k l m 6 5 4
22)
Given: j || k; 1  5
Prove: l || m
Statements
Reasons
1. ________________________________
1. ______________________________
2. 1  2
2. ______________________________
______________________________
3. ________________________________
3. Given
4. 2  5
4. _____________________________
5. ________________________________
5. ______________________________
______________________________ c d b a 4 2 3 1 8 6 7 5 12 10 11 9 16 14 15 13
23)
Given: a || b ; c || d
Prove: 13 is supplementary to 8
Statements
Reasons
1. ________________________________
1. ______________________________
13  15
2. ______________________________
______________________________
c || d
Given
4. ________________________________
4. If lines are parallel, then corresponding angles are congruent.
13  7; m13 = m7
Substitution
m7 + m8 = 180
6. ______________________________
7. ________________________________
7. ______________________________
8. ________________________________
8. ______________________________