Resources
Testimonials
Plans
Sign in
Sign up
Resources
Testimonials
Plans
Home
Math Problems
Algebra 1
Slopes of parallel and perpendicular lines
Directions: For the following diagram, please find ALL missing angles. You must then explain in detail, using mathematical terminology and justification how you arrived at your final answer. Make sure to reference the diagram when doing so or the angles given to you.
\newline
In the following, line
/
/
/
is parallel to line
m
m
m
. Line
r
r
r
and line
t
t
t
represent transversals.
Get tutor help
Line
b
b
b
has a slope of
6
5
\frac{6}{5}
5
6
. Line
c
c
c
is perpendicular to
b
b
b
. What is the slope of line
c
c
c
?
\newline
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
\newline
_
_
\_\_
__
Get tutor help
Line
j
j
j
has a slope of
4
7
\frac{4}{7}
7
4
. Line
k
k
k
is parallel to line
j
j
j
. What is the slope of line
k
k
k
?
\newline
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
\newline
_
_
\_\_
__
Get tutor help
Line
s
s
s
has a slope of
9
7
\frac{9}{7}
7
9
. Line
t
t
t
is parallel to line
s
s
s
. What is the slope of line
t
t
t
?
\newline
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
\newline
_____
Get tutor help
Line
p
p
p
has a slope of
8
3
\frac{8}{3}
3
8
. Line
q
q
q
is perpendicular to
p
p
p
. What is the slope of line
q
q
q
?
\newline
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
\newline
_
_
\_\_
__
Get tutor help
Line
e
e
e
has a slope of
5
2
\frac{5}{2}
2
5
. Line
f
f
f
has a slope of
2
5
\frac{2}{5}
5
2
. Are line
e
e
e
and line
f
f
f
parallel or perpendicular?
\newline
Choices:
\newline
(A) parallel
\newline
(B) perpendicular
\newline
(C) neither
Get tutor help
Line
s
s
s
has a slope of
4
5
\frac{4}{5}
5
4
. Line
t
t
t
is parallel to line
s
s
s
. What is the slope of line
t
t
t
?
\newline
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
\newline
_____
Get tutor help
Line
g
g
g
has a slope of
8
3
\frac{8}{3}
3
8
. Line
h
h
h
is parallel to line
g
g
g
. What is the slope of line
h
h
h
?
\newline
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
\newline
_____
Get tutor help
Line
v
v
v
has a slope of
7
9
\frac{7}{9}
9
7
. Line
w
w
w
is perpendicular to
v
v
v
. What is the slope of line
w
w
w
?
\newline
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
\newline
_
_
\_\_
__
Get tutor help
Line
p
p
p
has a slope of
4
7
\frac{4}{7}
7
4
. Line
q
q
q
has a slope of
4
7
\frac{4}{7}
7
4
. Are line
p
p
p
and line
q
q
q
parallel or perpendicular?
\newline
Choices:
\newline
(A) parallel
\newline
(B) perpendicular
\newline
(C) neither
Get tutor help
Line
j
j
j
has a slope of
4
9
\frac{4}{9}
9
4
. Line
k
k
k
has a slope of
5
3
\frac{5}{3}
3
5
. Are line
j
j
j
and line
k
k
k
parallel or perpendicular?
\newline
Choices:
\newline
(A) parallel
\newline
(B) perpendicular
\newline
(C) neither
Get tutor help
Line
s
s
s
has a slope of
3
4
\frac{3}{4}
4
3
. Line
t
t
t
has a slope of
3
4
\frac{3}{4}
4
3
.Are line
s
s
s
and line
t
t
t
parallel or perpendicular?
\newline
Choices:
\newline
(A)parallel
\newline
(B)perpendicular
\newline
(C)neither
Get tutor help
Line
p
p
p
has a slope of
7
8
\frac{7}{8}
8
7
. Line
q
q
q
is parallel to line
p
p
p
. What is the slope of line
q
q
q
?
\newline
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
\newline
_
_
\_\_
__
Get tutor help
Line
j
j
j
has a slope of
7
3
\frac{7}{3}
3
7
. Line
k
k
k
has a slope of
3
7
\frac{3}{7}
7
3
. Are line
j
j
j
and line
k
k
k
parallel or perpendicular?
\newline
Choices:
\newline
(A) parallel
\newline
(B) perpendicular
\newline
(C) neither
Get tutor help
Line
m
m
m
has a slope of
3
7
\frac{3}{7}
7
3
. Line
n
n
n
is perpendicular to
m
m
m
. What is the slope of line
n
n
n
?
\newline
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
\newline
_
_
\_\_
__
Get tutor help
Line
f
f
f
has a slope of
5
2
\frac{5}{2}
2
5
. Line
g
g
g
is perpendicular to
f
f
f
. What is the slope of line
g
g
g
?
\newline
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
\newline
_
_
\_\_
__
Get tutor help
Line
q
q
q
has a slope of
5
3
\frac{5}{3}
3
5
. Line
r
r
r
is perpendicular to
q
q
q
. What is the slope of line
r
r
r
?
\newline
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
\newline
_
_
_
_
_
\_\_\_\_\_
_____
Get tutor help
Line
c
c
c
has a slope of
3
8
\frac{3}{8}
8
3
. Line
d
d
d
is parallel to line
c
c
c
. What is the slope of line
d
d
d
?
\newline
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
\newline
_
_
_
_
\_\_\_\_
____
Get tutor help
Line
a
a
a
has a slope of
5
9
\frac{5}{9}
9
5
. Line
b
b
b
is perpendicular to
a
a
a
. What is the slope of line
b
b
b
?
\newline
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
\newline
_
_
_
_
_
\_\_\_\_\_
_____
Get tutor help
Line
r
r
r
has a slope of
8
7
\frac{8}{7}
7
8
. Line
s
s
s
is perpendicular to
r
r
r
. What is the slope of line
s
s
s
?
\newline
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
\newline
_
_
_
_
_
\_\_\_\_\_
_____
Get tutor help
Line
p
p
p
has a slope of
7
6
\frac{7}{6}
6
7
. Line
q
q
q
has a slope of
7
6
\frac{7}{6}
6
7
. Are line
p
p
p
and line
q
q
q
parallel or perpendicular?
\newline
Choices:
\newline
(A) parallel
\newline
(B) perpendicular
\newline
(C) neither
Get tutor help
Line
g
g
g
has a slope of
3
2
\frac{3}{2}
2
3
. Line
h
h
h
is parallel to line
g
g
g
. What is the slope of line
h
h
h
?
\newline
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
\newline
_
_
\_\_
__
Get tutor help
Line
r
r
r
has a slope of
3
5
\frac{3}{5}
5
3
. Line
s
s
s
is parallel to line
r
r
r
. What is the slope of line
s
s
s
?
\newline
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
\newline
_____
Get tutor help
Line
u
u
u
has a slope of
7
4
\frac{7}{4}
4
7
. Line
v
v
v
is parallel to line
u
u
u
. What is the slope of line
v
v
v
?
\newline
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
\newline
_
_
_
_
\_\_\_\_
____
Get tutor help
Line
u
u
u
has a slope of
3
4
\frac{3}{4}
4
3
. Line
v
v
v
is perpendicular to
u
u
u
. What is the slope of line
v
v
v
?
\newline
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
\newline
_
_
_
_
_
\_\_\_\_\_
_____
Get tutor help
Line
p
p
p
has a slope of
2
7
\frac{2}{7}
7
2
. Line
q
q
q
has a slope of
7
2
\frac{7}{2}
2
7
. Are line
p
p
p
and line
q
q
q
parallel or perpendicular?
\newline
Choices:
\newline
(A) parallel
\newline
(B) perpendicular
\newline
(C) neither
Get tutor help
Line
d
d
d
has a slope of
8
9
\frac{8}{9}
9
8
. Line
e
e
e
is perpendicular to
d
d
d
. What is the slope of line
e
e
e
?
\newline
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
\newline
_
_
\_\_
__
Get tutor help
Line
v
v
v
has a slope of
9
7
\frac{9}{7}
7
9
. Line
w
w
w
is perpendicular to
v
v
v
. What is the slope of line
w
w
w
?
\newline
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
\newline
_
_
\_\_
__
Get tutor help
Line
r
r
r
has a slope of
7
5
\frac{7}{5}
5
7
. Line
s
s
s
is perpendicular to
r
r
r
. What is the slope of line
s
s
s
?
\newline
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
\newline
_
_
\_\_
__
Get tutor help
Line
q
q
q
has a slope of
7
4
\frac{7}{4}
4
7
. Line
r
r
r
is perpendicular to
q
q
q
. What is the slope of line
r
r
r
?
\newline
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
\newline
_____
Get tutor help
Line
v
v
v
has a slope of
2
5
\frac{2}{5}
5
2
. Line
w
w
w
has a slope of
2
5
\frac{2}{5}
5
2
.Are line
v
v
v
and line
w
w
w
parallel or perpendicular?
\newline
Choices:
\newline
(A)parallel
\newline
(B)perpendicular
\newline
(C)neither
Get tutor help
Line
t
t
t
has a slope of
4
3
\frac{4}{3}
3
4
. Line
u
u
u
is parallel to line
t
t
t
. What is the slope of line
u
u
u
?
\newline
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
\newline
_____
Get tutor help
Line
b
b
b
has a slope of
6
5
\frac{6}{5}
5
6
. Line
c
c
c
has a slope of
6
5
\frac{6}{5}
5
6
.Are line
b
b
b
and line
c
c
c
parallel or perpendicular?
\newline
Choices:
\newline
(A)parallel
\newline
(B)perpendicular
\newline
(C)neither
Get tutor help
Line
a
a
a
has a slope of
4
5
\frac{4}{5}
5
4
. Line
b
b
b
is perpendicular to
a
a
a
. What is the slope of line
b
b
b
?
\newline
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
\newline
_
_
\_\_
__
Get tutor help
Line
r
r
r
has a slope of
2
5
\frac{2}{5}
5
2
. Line
s
s
s
is parallel to line
r
r
r
. What is the slope of line
s
s
s
?
\newline
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
\newline
_
_
\_\_
__
Get tutor help
Line
b
b
b
has a slope of
4
9
\frac{4}{9}
9
4
. Line
c
c
c
has a slope of
9
4
\frac{9}{4}
4
9
. Are line
b
b
b
and line
c
c
c
parallel or perpendicular?
\newline
Choices:
\newline
(A) parallel
\newline
(B) perpendicular
\newline
(C) neither
Get tutor help
Line
d
d
d
has a slope of
5
6
\frac{5}{6}
6
5
. Line
e
e
e
is perpendicular to
d
d
d
. What is the slope of line
e
e
e
?
\newline
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
\newline
_
_
\_\_
__
Get tutor help
Line
v
v
v
has a slope of
6
5
\frac{6}{5}
5
6
. Line
w
w
w
has a slope of
5
6
\frac{5}{6}
6
5
. Are line
v
v
v
and line
w
w
w
parallel or perpendicular?
\newline
Choices:
\newline
(A) parallel
\newline
(B) perpendicular
\newline
(C) neither
Get tutor help
Line
b
b
b
has a slope of
4
3
\frac{4}{3}
3
4
. Line
c
c
c
is perpendicular to
b
b
b
. What is the slope of line
c
c
c
?
\newline
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
\newline
_____
Get tutor help
Line
j
j
j
has a slope of
8
9
\frac{8}{9}
9
8
. Line
k
k
k
has a slope of
9
8
\frac{9}{8}
8
9
. Are line
j
j
j
and line
k
k
k
parallel or perpendicular?
\newline
Choices:
\newline
(A) parallel
\newline
(B) perpendicular
\newline
(C) neither
Get tutor help
Line
u
u
u
has a slope of
7
6
\frac{7}{6}
6
7
. Line
v
v
v
is parallel to line
u
u
u
. What is the slope of line
v
v
v
?
\newline
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
\newline
_____
Get tutor help
Line
e
e
e
has a slope of
5
8
\frac{5}{8}
8
5
. Line
f
f
f
has a slope of
8
5
\frac{8}{5}
5
8
. Are line
e
e
e
and line
f
f
f
parallel or perpendicular?
\newline
Choices:
\newline
(A) parallel
\newline
(B) perpendicular
\newline
(C) neither
Get tutor help
Line
r
r
r
has a slope of
9
7
\frac{9}{7}
7
9
. Line
s
s
s
has a slope of
9
7
\frac{9}{7}
7
9
.Are line
r
r
r
and line
s
s
s
parallel or perpendicular?
\newline
Choices:
\newline
(A) parallel
\newline
(B) perpendicular
\newline
(C) neither
Get tutor help
Line
v
v
v
has a slope of
4
9
\frac{4}{9}
9
4
. Line
w
w
w
is parallel to line
v
v
v
. What is the slope of line
w
w
w
?
\newline
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
\newline
_
_
\_\_
__
Get tutor help
Line
r
r
r
has a slope of
8
3
\frac{8}{3}
3
8
. Line
s
s
s
has a slope of
6
7
\frac{6}{7}
7
6
. Are line
r
r
r
and line
s
s
s
parallel or perpendicular?
\newline
Choices:
\newline
(A) parallel
\newline
(B) perpendicular
\newline
(C) neither
Get tutor help
Line
v
v
v
has a slope of
7
3
\frac{7}{3}
3
7
. Line
w
w
w
is parallel to line
v
v
v
. What is the slope of line
w
w
w
?
\newline
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
\newline
_
_
\_\_
__
Get tutor help
Line
g
g
g
has a slope of
8
7
\frac{8}{7}
7
8
. Line
h
h
h
is parallel to line
g
g
g
. What is the slope of line
h
h
h
?
\newline
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
\newline
_
_
\_\_
__
Get tutor help
Line
a
a
a
has a slope of
4
9
\frac{4}{9}
9
4
. Line
b
b
b
is perpendicular to
a
a
a
. What is the slope of line
b
b
b
?
\newline
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
\newline
_
_
\_\_
__
Get tutor help
Line
g
g
g
has a slope of
2
7
\frac{2}{7}
7
2
. Line
h
h
h
has a slope of
2
7
\frac{2}{7}
7
2
. Are line
g
g
g
and line
h
h
h
parallel or perpendicular?
\newline
Choices:
\newline
(A) parallel
\newline
(B) perpendicular
\newline
(C) neither
Get tutor help
Line
v
v
v
has a slope of
8
9
\frac{8}{9}
9
8
. Line
w
w
w
is parallel to line
v
v
v
. What is the slope of line
w
w
w
?
\newline
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
\newline
_____
Get tutor help
1
2
3
Next