Download A. True/False: Given ∥ in the diagram below, determine whether

Geometry
Parallel Lines QR Review
A. True/False: Given 𝑚 ∥ 𝑛 in the diagram below,
determine whether each of the following
statements is true or false. If a statement is false,
replace the underlined word or number to make a
true statement.
1. ∠4 𝑎𝑛𝑑 ∠5 are corresponding angles.
2. ∠3 𝑎𝑛𝑑 ∠5 are congruent.
3. Interior angles are located between the lines cut
by a transversal.
4. ∠1 𝑎𝑛𝑑 ∠8 are alternate exterior angles.
B. Identifying Angles: Use the diagram below to
answer the following questions.
3
1 2
7
c
4
8
5 6
9 10
13 14
a
11
12
15 16
d
b
1. Name one pair of corresponding angles for line
a and b with transversal c
2. Name one pair of alternate interior angles for
line a and b with transversal d.
3. Name one pair of consecutive interior angles
for line c and d with transversal line a.
4. If ∠1 ≅ ∠9, which lines are parallel?
C. Problem Solving: Use the following diagram to
answer the questions below. In the diagram,
𝑎 ∥ 𝑏, 𝑐 ∥ 𝑑.
a
2
5
1
b
c
d
1. Find 𝑚∠1 if 𝑚∠1 = 3𝑥 − 10 and
𝑚∠5 = 𝑥 + 70.
2. Explain how you knew which equation to set
up. Use appropriate vocabulary.
3. Find 𝑚∠1 if 𝑚∠1 = 8𝑥 − 80 and
𝑚∠2 = −2𝑥 + 116.
4. Explain how you knew what equation to set up.
Use appropriate vocabulary.
D. Problem Solving: Use the following diagram and
the fact that line a is NOT parallel to line b to
complete the statement.
t
(3𝑥 − 15)°
a
(5𝑥 − 57)°
b
x CANNOT equal _________________________.
E. Use the figure below to answer the following
questions.
H
E
D
A
G
B
F
C
1. Identify all lines parallel to ⃡𝐸𝐻.
⃡ .
2. Identify all lines skew to 𝐴𝐷
3. Identify all lines intersecting ⃡𝐴𝐵.
4. Identify all planes intersecting plane DEF.
5. Identify all planes parallel to plane AHG.
F. Fill in the Blank: Complete the statements given
𝑠 ⊥ 𝑡.
s
5
4
1. If 𝑚∠1 = 38°, then 𝑚∠4 = _________.
2. If 𝑚∠6 = 51°, then 𝑚∠1 = _________.
3. 𝑚∠2 = _________.
4. If 𝑚∠3 = 42°, then 𝑚∠1 = _________.
6
1
t
3
2
G. Problem Solving: Find the values of x and y given
⃡𝐶𝐷 ∥ ⃡𝐴𝐵.
C
70°
y
A
D
80°
x
B
H. Problem Solving: Use the following diagram to
find the angle measures below given:
⃡𝐴𝐵 ∥ ⃡𝐷𝐸 ,
⃡ ∥ ⃡𝐶𝐸 ,
𝐵𝐷
⃡ ,
⃡ ⊥ 𝐴𝐶
𝐸𝐵
𝑚∠𝐵𝐷𝐸 = 38°
A
D
Find:
1. 𝑚∠𝐵𝐸𝐷
2. 𝑚∠𝐵𝐸𝐶
3. 𝑚∠𝐵𝐶𝐸
4. 𝑚∠𝐶𝐸𝐹
B
E
C
F