Name: ___________________________________
Date: _________________
PARALLEL LINES AND ANGLES- DAY 1
GEOMETRY N
The following types of angles are formed when two lines intersect.
Vertical angles: two angles in which the sides of one angle are opposite rays to the sides of the second angle.
Example:
G
E
D
Linear pair: two adjacent angles whose sum is a straight angle.
Example:
H
F
The following types of angles are form only when two lines are cut by a transversal (a line that intersects two or
more other lines).
Alternate interior angles: interior angles on opposite sides of the transversal and do not have a common
vertex.
Example:
Alternate exterior angles: exterior angles on opposite sides of the transversal and do not have a common
vertex.
Example:
Corresponding Angles: one exterior and one interior angle that are on the same side of the transversal and do
not have a common vertex.
Example:
Same Side Interior (SSI)/Same Side Exterior (SSE): interior/exterior angles on the same side of the
transversal and do not have a common vertex.
Example:
t
1 2
4 3
l
m
6 5
8 7
If l and m are parallel,
congruent.
,
are supplementary.
, and
are
Exercise #1: Using the diagram below, identify at least one pair of each type of angle.
a) Vertical Angles
b) A Linear Pair
d) Alternate Exterior Angles
Given:
c) Alternate Interior Angles
e) Corresponding Angles
m
l
1
5 7
6 8
3
4
2
Exercise #2: If l m , find m1 .
1
l
m
Exercise #3: If ABCD is a parallelogram, then name all pairs of congruent angles.
A
6
1
2
B
3
4
C
D
5
Exercise #4: If AB CD , m5  40 , and m4  30 , find the measures of the other angles in the figure.
m1 
m2 
m3 
m4  30
m5  40
m6 
C
m7 
F
A
9
10
B
11
8 5
7 6
4
1
3 2
C
m8 
E
m9 
G
m10 
m11 
Exercise #5: In the diagram below, AB CD , mx  68 , and my  117 . Find the mz .
A
B
x
2 1
3z
4
C
PQ RS
6
y
5
D
Exercise #6: In the accompanying diagram, AB intersects PQ and RS at C and D, respectively.
If , mRDB  2x  10 , and mQCA  3x  65 , find x.
R
P
A
C
D
Q
B
S
Name: ___________________________________
Date: _________________
PARALLEL LINES AND ANGLES- DAY 1
GEOMETRY N HOMEWORK
Identify the traversal connecting each pair of angles. Then classify the relationship between each pair of angles
as alternate interior, alternate exterior, corresponding, or same side interior angles.
t
r
s
1 2
5
3 4
6
𝑡∥𝑣
𝑟∥𝑠
7
v
8 9
11 12
10
1. 4 and 9
6. 5 and 7
2. 3 and 5
7. 10 and 11
3. 1 and 6
8. 6 and 8
4. 2 and 3
9. 9 and 10
5. 4 and 11
10. 7 and 11
If l m , find m1 .
t
1
l
6x 10
4x  20
m