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Name ___________________________________Period:_______________________
Geometry Quiz 2A.1
Find the next term in each pattern.
1. 17, 13, 9, … __________________________ 2. Mon, Wed, Fri, …__________________________
c. 2 , 4 , 6 , …__________________________4.
_______________________
.
5. A biologist recorded the following data about the weight of
baby giraffes in a wildlife park. Use the table to make a
conjecture about the average weight of a baby giraffe.
_________________________________________
_______________________________________
6. Show that the conjecture “If a number is a prime number, then it is
an odd number” is false by finding a counterexample.
_________________________
7. Identify the hypothesis and conclusion of the conditional statement “Two angles are
supplementary angles if the sum of their measures is 180o.”
______________________________________________________________________
______________________________________________________________________
Write a conditional statement from each of the following.
8. Sixteen-year-olds are eligible to drive.__________________________________________________
______________________________________
9.
__________________________________________________________
________________________________________
Determine if each conditional is true. If false, give a counterexample.
10. If an angle is obtuse, then it has a measure of 150o.______________________________________
11. If 5x - 3 = 8x - 15, then x = 4. ________________________________________________________
2A
12. Write the converse, inverse, and contrapositive of the statement “If a ray divides an angle into
two congruent angles, then it is an angle bisector.” Find the truth value of each.
_____________________________________________________ T / F
Converse:
Inverse:
______________________________________________________ T / F
Contrapositive:
__________________________________________________T / F
13. Determine if the following conjecture is valid by the Law of Detachment.
Given: If Ron finishes washing the dishes, he can go to the batting cage. Ron finishes washing the
dishes.
Conjecture: Ron can go to the batting cage. ___________________________________________________
14. Determine if the following conjecture is valid by the Law of Syllogism.
Given: If two angles lie in the same plane and have a common vertex and a common side, but no
common interior points, then they are adjacent angles. If two adjacent angles are a linear pair
then their noncommon sides are opposite rays.
Conjecture: If two angles lie in the same plane and have a common vertex and a common side
and no common interior points, then their noncommon sides are opposite rays.
____________________________________
Matching
____conjecture
2. ____inductive reasoning
3. ____deductive reasoning
4. ____conclusion
5. ____hypothesis
6. ____counterexample
7. ____conditional statement
8. ____converse
9. ____inverse
10. ____negation
11. ____truth value
12. ____contrapositive
1.
a. an example that proves that a conjecture or
statement is false
b. the statement formed by both exchanging and
negating the hypothesis and conclusion
c. the contradiction of statement by using “not,”
written as ~
d. the statement formed by exchanging the
hypothesis and conclusion of a conditional
statement
e. Assigning true (T) or false (F) to a statement, only
when the hypothesis is true and the conclusion is
false
f. The statement formed by negating the
hypothesis and the conclusion
g. a statement that is believed to be true
h. the process of reasoning that a rule or statement
is true because specific cases are true
i. the part of a conditional statement following the
word then
j. the part of a conditional statement following the
word if
k. a statement that can be written in the form “if p,
then q,” where p is the hypothesis and q is the
conclusion
l. the process of using logic to draw conclusions
from given facts, definitions and properties
Name ___________________________________Period:_______________________
Quiz 2A.2
Matching
____conjecture
2. ____inductive reasoning
3. ____deductive reasoning
4. ____conclusion
5. ____hypothesis
6. ____counterexample
7. ____conditional statement
8. ____converse
9. ____inverse
10. ____negation
11. ____hypothesis
12. ____truth value
13. ____contrapositive
1.
a. the part of a conditional statement following
the word then
b. the statement formed by both exchanging
and negating the hypothesis and conclusion
c. the statement formed by exchanging the
hypothesis and conclusion of a conditional
statement
d. the process of reasoning that a rule or
statement is true because specific cases are
true
e. an example that proves that a conjecture or
statement is false
f. the process of using logic to draw conclusions
from given facts, definitions and properties
g. Assigning true (T) or false (F) to a statement,
only when the hypothesis is true and the
conclusion is false
h. The statement formed by negating the
hypothesis and the conclusion
i. the contradiction of statement by using “not,”
written as ~
j. a statement that is believed to be true
k.
l.
the part of a conditional statement following
the word if
a statement that can be written in the form “if
p, then q,” where p is the hypothesis and q is
the conclusion
Find the next term in each pattern.
1. 25, 22, 19, … __________________________ 2. Tues, Thurs, Sat, …__________________________
3. 8, 10, 12 , …__________________________4.
_______________________
.
5. A biologist recorded the following data about the weight of baby
giraffes in a wildlife park. Use the table to make a conjecture about
the average weight of a baby giraffe.
_____________________________________________
_____________________________________________
6. Show that the conjecture “If the season is spring then the month is
March” is false by finding a counterexample.
__________________________
6. Show that the conjecture “If a number is a prime number, then it is an odd number” is false by
finding a counterexample.
______________________________
7. Identify the hypothesis and conclusion of the conditional statement “Two angles are
supplementary angles if the sum of their measures is 180o.”
______________________________________________________________________
______________________________________________________________________
Write a conditional statement from each of the following.
8. The sides of a square are congruent.__________________________________________________
______________________________________
Desserts
9.
Pie
__________________________________________________________
________________________________________
Determine if each conditional is true. If false, give a counterexample.
10. If 6x - 3 = 8x - 15, then x = 6. ________________________________________________________
11. If an angle is acute, then it has a measure of 45o.______________________________________
2A
12. Write the converse, inverse, and contrapositive of the statement “If a ray divides an angle into
two congruent angles, then it is an angle bisector.” Find the truth value of each.
_____________________________________________________ T / F
Inverse: ______________________________________________________ T / F
Contrapositive: __________________________________________________T / F
Converse:
13. Determine if the following conjecture is valid by the Law of Syllogism.
Given: If two angles lie in the same plane and have a common vertex and a common side, but no
common interior points, then they are adjacent angles. If two adjacent angles are a linear pair
then their noncommon sides are opposite rays.
Conjecture: If two angles lie in the same plane and have a common vertex and a common side
and no common interior points, then their noncommon sides are opposite rays.
____________________________________
14. Determine if the following conjecture is valid by the Law of Detachment.
Given: If Ron finishes washing the dishes, he can go to the batting cage. Ron finishes washing the
dishes.
Conjecture: Ron goes to the batting cage. ___________________________________________________