Download Classifying Angles

Name ____________________________________________________________ Date _10/6-7/15__
Geometry K, Period_______
Classifying Angles
Classify each pair of angles as one of the following:
Alternate Interior Angles, Alternate Exterior Angles, Same-Side Interior Angles, Same-Side Exterior
Angles, Corresponding Angles, Vertical Angles, or Linear Pair.
_______________________________________ 1. 8 & 12
14
16
15
13
_______________________________________ 2. 10 & 16
_______________________________________ 3. 11& 13
1 4
3
2
_______________________________________ 4. 15 & 10
_______________________________________ 5. 3 & 7
_______________________________________ 6. 1& 16
_______________________________________ 7. 1& 3
12 11
9 10
5 7
6 8
_______________________________________ 8. 11& 12
Classify each pair of angles as: alternate interior, alternate exterior, corresponding, same-side interior, , sameside exterior, vertical, or linear pair. If none, write none.
9.  EBA and  FCB
10.  FCL and  BLC
A
11.  DCH and  CBJ
12.  HCB and  CBJ
13.  FCB and  CBL
14.  BLC and  CLJ
G
F
E
C
B
D
L
H
15.  BCL and  GCD
16.  EBA and  DCH
J
K
Classify each pair of angles as: alternate interior, alternate exterior, corresponding, same-side interior, sameside exterior, vertical, or linear pair. If none, write none.
17.  1 ,  3
_________________________________
18.  2 ,  4
_________________________________
19.  2 ,  1
_________________________________
20.  3 ‘  5
_________________________________
1
2
3
4
5
21.  4 ,  5 _________________________________
Parallel Lines
Find the measure of each angle in the diagram, given the following information.
22.
Given: s || t , m 2  130
m 1  ___________
2
s
3
m3  ___________
m5  ___________
m6  ___________
t
6 5
7 8
1
4
23.
24.
Given: o || p , m4  60 & m7  52
m1  ___________
m13  ___________
m2  ___________
m 14  ___________
m3  ___________
m 15  ___________
m11  ___________
m 16  ___________
1 2
3 4
o
5 6
7 8
9 10
11 12
p
13 14
15 16
Given: AB || CD , AD || CB , mADC  110, mACD  28
m1=________________
m 2 =________________
m 3 =________________
m 4 =________________
m5 =________________
m6 =________________
m7 =________________
m 8 =________________
D 7
6
1
8
C
9
2 3
A
4
5
B
m 9 =________________
Given e || f and a || b, solve each.
a
25. m  1 = 10x + 13
m  9 = 7x + 40
Find m  12.
1 2
3 4
5 6
7 8
26. m  4 = 5x + 5
m  9 = 11x – 17
Find m  6.
b
13 14
15 16
e
9 10
11 12
f
27. m  6 = x + y - 58
m  11 = x - y
m  15 = 104
Find x and y.
In exercises 17 – 19, find the value of x and state which lines would be parallel with the information you have.
c
28. m  7 = x2 + 60
m  9 = 10 + 15x
x = ___________
______ || _______
5 6
8 7
9 10
11 12
k
1 2
3 4
13 14
15 16
t
p
c
k
5 6
8 7
1 2
3 4
t
13 14
15 16
9 10
11 12
p
29. m  5 = x2 + 10
m  4 = 6x + 26
x = __________
_______ || _______
30. m  6 = 3(2x +5)
m  14 = x + 18
x = ____________
_______ || _______
Find the values of the variables.
31.
x = _____________
32.
y = _____________
x = _____________
33.
x = _____________
y = _____________
y = _____________
BC bisects
ABD
m ABD=64, BC DE
A
y
140
2y
x
B
C
120
80
D
2x+10
4x
E
y
F
34.
x = _____________
35.
x = _____________
y = _____________
36.
x = _____________
y = _____________
y = _____________
z = _____________
z = _____________
AD BC, AB  AD
A
y
30
D
x
x
2z
80°
40
42
6z
47°
B
x
y
C
5y