Page 1 of 6. Geometry Name: Practice Test Ch. 2. Reasoning in Geometry Date: Use inductive reasoning to find the missing
Geometry Practice Test Ch. 2 Reasoning in Geometry
Name: Date:
Use inductive reasoning to find the missing term in each sequence. 1.
2, 1, 3, 4, 7, 11, _______ , 29, . . .
2.
Z, 1, Y, Y, 2, W, W, W, 3, _______ , . . .
3.
1, 2, 4, 8, 16, ________ , 64, . . .
4.
100, 99, 95, 86, 70, ________ , 9, . . .
Draw the next shape in each pattern. 5.
6.
7.
8.
▲
1
0
A
3
b
▲
3 C
5
▲
8 d 7
▲
15
Find the value of the nth term in each sequence. 9. Term
1
2
3
4
5
6
7
...
Value
-5
-1
3
7
11
15
19
...
Term
1
2
3
4
5
6
7
...
Value
82
76
70
64
58
52
46
...
n
10. n
Find the value of the nth term in each sequence. 11. Term
1
2
3
4
5
6
7
...
Value
12
25
42
63
88
117
150
...
n
Use the following pattern of square arrays to answer questions 12 - 14.
12. Complete the following table based on the pattern above. Length of Side
1
2
3
Number of Shaded Squares
1
3
6
4
5
13. How many shaded squares are in an array with n squares on a side?
14. How many shaded squares are in an array with 35 squares on a side?
6
Use simpler problems to generalize and answer #15 and 16. 15. How many 2-person handshakes are possible at a party of 45 people.
16.
If a polygon has 32 sides, how many diagonals will it have?
Find the measure of each lettered angle in the figure given that L1 is parallel to L2 and L3 is parallel to L4. L2 L3
L1
d a g
58 º
L4
e 16 º
h b
f
c
17.
a = ______
21.
e = ______
18.
b = ______
22.
f = ______
19.
c = ______
23.
g = ______
20.
d = ______
24.
h = ______
25. Consider the sequence below where 1500 is the first term, 1497 is the second term, etc. Which term below will be the last number in the sequence that is positive? { 1500, 1497, 1488, 1461, 1380... }
26. The first four figures in a sequence are shown below:
Write an equation that can be used to find the number of boxes in any figure in the sequence.
Use the figure below to find an example of each term.
3 1 5
2
7
4 8
6
27.
Alternate exterior angles
28.
Linear pair of angles
29.
Vertical angles
30.
Corresponding angles
