Download Honors Chapter 2

Geometry Honors: Chapter 2 Test
1. What conjecture can you make about the twentieth term in the pattern A, B, A, C, A, B, A, C?
2. Laisha’s Internet Services designs web sites and recently began a weekly advertising campaign. Laisha noticed an
increase in her customers over a period of five consecutive weeks. Based on the pattern shown in the graph, make a
conjecture about the number of customers Laisha will have in the seventh week.
y
Number of Customers
9
8
7
6
5
4
3
2
1
1
2
3
4
5
6
7
8
9
x
Week
3. What is a counterexample for the conjecture?
Conjecture: The product of two positive numbers is greater than the sum of the two numbers.
A. There is no counterexample. The conjecture is true.
B. A counterexample exists, but it is not shown above.
C. 2 and 2
D. 3 and 5
4. Another name for an if-then statement is a ____. Every conditional has two parts. The part following if is the ____ ,
and the part following then is the ____.
5. Write this statement as a conditional in if-then form:
All triangles have three sides.
6. When a conditional and its converse are true, you can combine them as a true ____.
7. Is the statement a good definition? If not, find a counterexample.
A square is a figure with two pairs of parallel sides and four right angles.
8. What is the value of x? Identify the missing justifications.
,
, and
.
P
R
Q
S
Drawing not to scale
x – 9 + x + 7 = 100
2x – 2 = 100
2x = 102
x = 51
a. __________
b. Substitution Property
c. Simplify
d. __________
e. Division Property of Equality
Use the given property to complete the statement.
9. Transitive Property of Congruence
If
______.
10. Substitution Property of Equality
If
, then ______.
11. Name the Property of Congruence that justifies the statement:
If
.
12. Find the values of x and y.
13. What is the converse and the truth value of the converse of the following conditional?
If an angle is a right angle, then its measure is 90.
14. Based on the pattern, what are the next two terms of the sequence?
9, 13, 17, 21, . . .
15. What is a counterexample for the conjecture?
Conjecture: Any number that is divisible by 3 is also divisible by 6.
16. Identify the hypothesis and conclusion of this conditional statement:
If tomorrow is Thursday, then yesterday was Tuesday.
17. What is the converse of the following conditional?
If a number is a natural number, then it is a whole number.
18.
bisects
= 9x.
=
. Find
19. What is the value of x? Identify the missing justifications.
20. What is the value of x? Justify each step.
Geometry Honors: Chapter 2 Test
Answer Section
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2.
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8.
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15.
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17.
18.
19.
20.
The twentieth term is C.
Laisha will have 13 customers.
C
conditional; hypothesis; conclusion
If a figure is a triangle, then it has three sides.
biconditional or definition
No; a rectangle is a counterexample.
Angle Addition Postulate; Addition Property of Equality
Symmetric Property
x = 15, y = 17
If an angle has a measure of 90, then it is a right angle.
True
25, 29
21
Hypothesis: Tomorrow is Thursday.
Conclusion: Yesterday was Tuesday.
If a number is a whole number, then it is a natural number.
90
a. Angle Addition Postulate
b. Substitution Property
c. Distributive Property
d. Simplify
e. Addition Property of Equality
f. Division Property of Equality
a. Segment Addition Postulate
b. Substitution
c. Simplify
d. Subtraction Property of Equality
e. Division Property of Equality