Download Chapter 3 Review

Chapter 3 Review
Assume: a||b||c. Identify the following using Alternate Interior, Alternate Exterior, Corresponding or S-Side.
Also, state if the angles are congruent or supplementary.
1. 1 and 5 ____________________ ______________________
1
a
3
2. 2 and 6 ____________________ ______________________
3. 6 and 11 ____________________ ______________________
4. 3 and 6 ____________________ ______________________
5
b
7
2
4
6
8
9 10
11 12
c
5. 7 and 9 ____________________ ______________________
t
6. 4 and 5 ____________________ ______________________
_________________________________________________________________________________________
Use deductive reasoning to predict the next two numbers in each sequence.
7. 15, 30, 45, 60, . . . ________ , ________
8. 100, -10, 1, -1/10, . . . ________, ________
_________________________________________________________________________________________
Tell which lines are parallel if the following relationship exists between the angles. Justify each answer.
If there are no parallel lines, write none.
c
d
9. 4  5 ______________________________________________________________________________
a
1 2
9 10
10. 3  8 _____________________________________________________________________________
3 4
11 12
supplementary
7and
9 are
11. 
and
9are
supplemen
tary _____________________________________________________________
b
5 6
13 14
12. 3  11____________________________________________________________________________
7 8
15 16
13. 1  9 _____________________________________________________________________________
14. 4  9 _____________________________________________________________________________
_________________________________________________________________________________________
Find the values of x and y.
15.
16.
85
70
5x
y
x
7y
3y
Answer the following questions.
17. A regular polygon has 18 sides. Answer the following questions about this polygon.
a) Find the sum of the interior angles.
b) Find the measure of one interior angle.
c) Find the measure of one exterior angle.
18. Each interior angle of a regular polygon has measure 150. How many sides does the polygon have?
19. The angles of a triangle are 2x + 5, 3x + 10, and x + 12. Find the value of x and then find
the degrees of all three angles of the triangle.
20. Classify the triangles below.
a)
89
30
b)
60
61
c)
29
91
30
60
__________________
__________________
__________________
______________________________________________________________________________________
21. In the diagram AB bisects  DHF, AB  GH,
Find the measure of each angle.
 FHD = _______
 AHG = _______
 FHG = _______
 GHB = _______
 BHC = _______
 DHC = _______
 HDE = _______
 HCD = _______
AB || CD, and  AHD = 60.
F
A
E
G
D
H
 HDC = _______
B
C
Accept the two statements as given information. State a conclusion based on deductive reasoning.
If no conclusion can be reached, write none
22. Joe is younger than Tom.
Tom is younger than Mike.
23. Polygon A has more than 8 sides.
Polygon A has fewer than 10 sides.
____________________________________
____________________________________
________________________________________________________________________________________
t
24.
Given:
k || n; transversal t cuts k and n
k
Prove:
1
1  3
n
2
3
_______________________________________________________________
1.
1.
2.
2.
3.
3.
4.
4.
________________________________________________________________________________________
25.
Given:
RU || ST ;  R   T
R
Prove:
S
RS || UT
3
1
U
2
4
T
_______________________________________________________________
1.
1.
2.
2.
3.
3.
4.
4.
5.
5.