Download Parallel and Perpendicular Lines Unit Test

Name ____________________________
Date ____________
Parallel and Perpendicular Lines Review
8th Grade Geometry
Multiple Choice- Choose the correct answer for each question. No partial credit will be
given.
For questions 1-6, use the diagram at the right.
1. Segments ̅̅̅̅
𝐴𝐷 and ̅̅̅̅
𝐹𝐷 are …
a. parallel
c. skew
b. intersecting
d. none of these
̅̅̅̅ and ̅̅̅̅
2. Segments 𝐴𝐵
𝐷𝐶 are …
a. parallel
c. skew
b. intersecting
d. none of these
3. Segments ̅̅̅̅
𝐴𝐵 and ̅̅̅̅
𝐹𝐶 are …
a. parallel
c. skew
b. intersecting
d. none of these
̅̅̅̅̅
4. Which segment is parallel to AE?
̅̅̅̅
̅̅̅̅
a. AD
c. BC
̅̅̅̅
b.DF
d. none of these
5. Which segment is skew to ̅̅̅̅̅
AE?
̅̅̅̅
̅̅̅̅
a. AD
c. BC
̅̅̅̅
b.DF
d. none of these
̅̅̅̅ is
6. The plane containing ̅̅̅̅
𝐸𝐹 𝑎𝑛𝑑 𝐶𝐵
a. plane CEF
c. plane CDE
b. plane ABC
d. none of these
Geometry – Parallel Lines
NJCTL.org
For questions 7-11, use the diagram at the right.
7. ∠8 𝑎𝑛𝑑 ∠9 𝑎𝑟𝑒 ..
a. same-side interior
b. alternate interior
c. corresponding
d. none of these
8. ∠14 𝑎𝑛𝑑 ∠11𝑎𝑟𝑒 ..
a. same-side interior
c. corresponding
b. alternate interior
d. none of these
9. For 𝑘 ∥ 𝑙, which of the following would have to be true?
a. 𝑚∠2 = 𝑚∠4
b. 𝑚∠2 = 𝑚∠9
c.∠7 𝑠𝑢𝑝𝑝𝑙𝑒𝑚𝑒𝑛𝑡𝑎𝑙 𝑡𝑜 ∠15 d. none of these
10. 𝐹𝑜𝑟 𝑘 ⊥ 𝑚, which of the following must be true?
a. 𝑚∠6 = 𝑚∠10
b. 𝑚∠6 = 𝑚∠2
c. 𝑚∠10 = 𝑚∠14
d. none of these
11. Given 𝑚 ∥ 𝑛, 𝑚∠7 = 3𝑥 + 20, 𝑎𝑛𝑑 𝑚∠12 = 5𝑥 − 40, find 𝑚∠8.
a. 25
b. 30
c. 70
d. 110
Extended Constructed Response – Solve the problem, showing all work. Partial credit
may be given.
12.Use the given diagram to find x, y 𝑚∠𝐴𝐵𝐶 and 𝑚∠𝐶𝐵𝐷.
X = 22
Y = 50
m∠𝐴𝐵𝐶 = 73°
m∠𝐶𝐵𝐷 = 107°
Geometry – Parallel Lines
NJCTL.org
13. In the given diagram to the right, n || p & k || m. 𝑚∠10 = (5𝑥 + 3)°,
𝑚∠16 = (7𝑥 − 39)°, 𝑎𝑛𝑑 𝑚∠15 = (7𝑦 + 2)° . Find the
values of x, y, 𝑚∠10, 𝑎𝑛𝑑 𝑚∠15.
x = 21
y = 10
m∠10 = 108°
m∠15 = 72°
14. Complete the proof by filling in the missing reasons
with the “reasons bank” to the right. Some reasons may
be used more that once.
Given: n || p, k || m
Prove: ∠1 ≅ ∠15
Statements
1. n || p, k || m
2. ∠1 ≅ ∠5
3. ∠5 ≅ ∠15
4. ∠1 ≅ ∠15
Geometry – Parallel Lines
Reasons
1. C
2. E
3. B
4. A
Reasons Bank
a) Transitive Property of
Congruence
b) If 2 parallel lines are cut by a
transversal, then the alternate
interior angles are congruent.
c) Given
d) If 2 parallel lines are cut by a
transversal, then the alternate
exterior angles are congruent.
e) If 2 parallel lines are cut by a
transversal, then the corresponding
angles are congruent.
NJCTL.org