Download Corresponding angles - Plain Local Schools

Let's review yesterday's lesson!
(Packet pg. 1)
o
1. An angle with a measure of 90 is called a(n)
A. acute angle
B. complementary angle
C. right angle
D. obtuse angle
2. Two angles whose measures have a sum
o
of 180 are
A. supplementary
B. obtuse angles
C. complementary angles
D. vertical angles
3. An angle whose measure is between
o
90 oand 180 is a(n)
A. obtuse angle
B. straight angle
(Packet pg. 1)
C. vertical angle
D. acute angle
4. Two angles whose measures have a
o
sum of 90 are
A. vertical angles
B. complementary angles
C. adjacent angles
D. supplementary angles
5. A straight angle measures
A. 180 o
B. 240 o
(Packet pg. 2)
C. 360 o
o
D. 160
6. When two lines intersect, they form
two pairs of "opposite" angles called
(Example: AOB and COD)
A. complementary angles
B. supplemenary angles
C. vertical angles
D. adjacent angles
o
7. An angle whose measure is between 0 and 90o
is a(n)
A. acute angle
B. obtuse angle
C. right angle
D. straight angle
(Packet pg. 2)
Use this diagram to answer the next
three questions.
8.
AOE and
A.
B.
C.
D.
9.
supplementary angles
vertical angles
complementary angles
adjacent angles
COD and
A.
B.
C.
D.
EOD are
BOC are
supplementary angles
vertical angles
complementary angles
adjacent angles
10.
BOC and
A.
B.
C.
D.
BOA are
supplementary angles
vertical angles
complementary angles
adjacent angles
Lesson Objective
After completing the lesson, students will
demonstrate that they are able to
-identify parallel lines and perpendicular lines
-name the angles formed when parallel lines are
cut by a transversal
-identify all angle measurements when parallel
lines are cut by a transversal
by completing the class activities and a class
assignment.
(Not in Packet)
(Packet pg. 3)
.
B
.
A
.
D
.
C
m
n
(Packet pg. 3)
Lesson Objective
(Not in Packet)
After completing the lesson, students will
demonstrate that they are able to
-identify parallel lines and perpendicular lines
-name the angles formed when parallel lines are
cut by a transversal
-identify all angle measurements when parallel
lines are cut by a transversal
by completing the class activities and a class
assignment.
(Not in Packet)
(Packet pg. 4)
Parallel Lines and Transversals
When parallel lines are cut by a transversal,
there are special relationships among the
angles formed.
1
2
8 3
7 4
6 5
Parallel lines cut by a transversal
(Packet pg. 4)
form 8 angles:
4 acute and 4 obtuse.
120o 60o
o
60o 120
o
120o 60
o
60o 120
The acute angles are all congruent.
The obtuse angles are all congruent.
Any acute angle is supplementary to any
obtuse angle.
m
5 1
62
n
(Packet pg. 5)
3
7
4 8
t
Interior angles - angles inside the parallel lines
______________________________________
Exterior angles - angles outside the parallel lines
______________________________________
(Packet pg. 5)
Alternate interior angles
are between the two lines
and are on opposite sides of
the transversal.
(are congruent)
1 2
8 3
7 4
6 5
Alternate exterior angles
are outside of the two lines
and are on opposite sides of
the transversal.
(are congruent)
(Packet pg. 6)
Corresponding angles
are in the same position
with respect to the
transversal.
(are congruent)
1 2
8 3
7
6
4
5
Corresponding angles are congruent IF the lines are parallel.
(Packet pg. 6)
Some pairs of the eight angles formed by two
parallel lines and a transversal have special names.
Lesson Objective
Not in Packet
After completing the lesson, students will
demonstrate that they are able to
-identify parallel lines and perpendicular lines
-name the angles formed when parallel lines are
cut by a transversal
-identify all angle measurements when parallel
lines are cut by a transversal
by completing the class activities and a class
assignment.
Let's Practice Identifying
the Special Angles Formed
when Parallel Lines are Cut
by a Transversal
1
4
5 6
8 7
2
3
And More
Review!
(Packet pg. 7)
m
5 1
6 2
n
Angles 1 and 4 are alternate interior angles .
Define this term and list another pair of them.
3
7
4 8
t
inside the parallel lines and on opposite
sides of the transversal
2&3
Angles 6 and 7 are alternate exterior angles .
Define this term and list another pair of them.
outside the parallel lines and on opposite
sides of the transversal 5 & 8
m
n
5 1
6 2
Vertical angles
(Packet pg. 7)
5 & 2, 1 & 6, 3 & 8, 4 & 7
3
7
4 8
Corresponding angles angles in the same spot
but on a different line
t
5 & 3, 1 & 7, 6 & 4, 2 & 8
**Corresponding
angles are congruent if the lines are parallel.
Name ____________________
Lines n and p are parallel.
t
3
4 7
5
6
2
8
Name all pairs of each angle.
Vertical (4 pairs)
1
Alternate Interior (2 pairs)
p
Alternate Exterior (2 pairs)
n
Corresponding (4 pairs)
Let's Review!!
(Packet pg. 8)
1. Two lines that intersect at right angles are
A. parallel lines
B. perpendicular lines
2. Two lines in the same plane that never intersect are
A. parallel lines
B. perpendicular lines
3. A line that intersects two or more lines at different points is a
A. transversal
B. bisector
(Packet pg. 8)
4. In the figure, the angles labeled
1, 2, 7 & 8 are
A. interior angles
B. exterior angles
5. The angles labeled 3, 4, 5, and 6 are
A. interior angles
B. exterior angles
6. Pairs of angles such as those labeled 1 and 5, or 4 and 8 are
A. corresponding angles
B. adjacent angles
7. The angles labeled 3 and 6 are
A. alternate interior angles
B. alternate exterior angles
8. The angles labeled 4 and 5 are
A. alternate interior angles
B. alternate exterior angles
1
3
l
(Packet pg. 9)
2
4
a
Use the diagram to identify each term.
5 6
7 8
b
1. Parallel lines
6. Exterior angles
2. Transversal
7. Alternate interior angles
3. Angles formed
8. Alternate exterior angles
4. Corresponding angles
9. Vertical angles
5. Interior angles
10. Supplementary angles
Lesson Objective
After completing the lesson, students will
demonstrate that they are able to
-identify parallel lines and perpendicular lines
-name the angles formed when parallel lines are
cut by a transversal
-identify all angle measurements when parallel
lines are cut by a transversal
by completing the class activities and a class
assignment.
(Packet pg. 9)
Finding Angle Measures of
Parallel Lines Cut by Transversals
t
2 1
3 8
4 7
5
6
m
p
n
Find m
1 2
8 7
p
8, m
5, m
4.
4
5
8
m 6 = 56 .
1 is 60 .
q
(Packet pg. 10)
Name the vertical angles.
t
3 4
6 5
Name the corresponding angles.
Name the supplementary angles.
m
5
m
2
m
8
(Packet pg. 10)
Line l is parallel to line m and are intersected by transversal n.
Angle b is 78°. Find the measure of the other angles.
m
a b
d c
l
e f
h g
n
m
a
m
c
m
d
m
e
m
f
m
g
m
h
(Packet pg. 11)
Now You Try Some-Find the Missing Angle Measurements!
(Packet pg. 11)