Geometry
Chapter 3 Test
Name:
Period:
Date:
Classify each pair of angles as alternate interior, same-side interior, or
corresponding angles.
1. 6 and 10
2. 5 and 10
3. 6 and 12
4. 7 and 9
5. 7 and 11
6. 2 and 3
1. _____________________
1
2
8
7
2. _____________________
3
6 4
5
9
10
12
11
3. _____________________
4. _____________________
5. _____________________
6. _____________________
Classify each pair of lines as intersecting, parallel, or skew.
⃡
7. ⃡𝐸𝐺 and 𝐵𝐶
8. ⃡𝐸𝐹 and ⃡𝐹𝐻
7. _____________________
8. _____________________
⃡
9. ⃡𝐸𝐺 and 𝐷𝐶
⃡ and ⃡𝐸𝐹
10. 𝐵𝐹
9. _____________________
10. ____________________
Decide whether each statement must be true or false based on the diagram.
(Write out True or False)
a
11. If a║b, then 2  10 .
12. If c║d, then 6  12 .
13. If c║d, then 5 and 12 are supplementary.
14. If 11  15 , then a║b.
15. If 14 and 15 are supplementary, then c║d.
1 2
8 7
b
3 4
6 5
9 10 11 12
16 15 14 13
c
d
Geometry
Chapter 3 Test
Find m1 and m2 . State the theorem or postulate that justifies your answer.
16.
Reason:
m1 =
m2 =
17.
m1 =
m2 =
Name the segments or lines that must be parallel. Justify your answer with a postulate or
theorem.
║
18.
Reason:
19.
║
p
r
l
Reason:
n
Find the value of x for which a║t.
20.
21.
x=
x=
Geometry
Chapter 3 Test
Find the value of the variables.
22.
23.
x=
y=
y=
z=
Find the value of the variable.
24.
25.
2ℎ°
ℎ°
x=
2ℎ°
ℎ°
h=
For each regular polygon find a) the measure of an interior angle and b) the measure of an
exterior angle.
26. Hexagon
27. 20-gon
a)
a)
b)
b)
Geometry
Chapter 3 Test
Q
Complete the two-column proof.
D
3
28. Given: QU DA
∠𝑄 ≅ ∠𝐴
1
Prove: QD UA
U
4
Statements
Reasons
1.
1. Given
2. 1  2
2.
3. Q  A
3.
2
A
4.
4. If 2 angles of one triangle are congruent
to 2 angles of another triangle, then the
3rd angles are congruent
5. QD UA
5.
Geometry
Chapter 3 Test
Write a two-column proof.
2
29. Given: p r ; l n
3
p
1
r
Prove: ∠1 ≅ ∠3
l
Statements
Bonus:
Answer: _________________
Reasons
n