Download Symmetric Property: AB ≅ ______ Transitive Property: AB ≅ CD CD

Chapter 2 Review
1. a) How do we determine length?
b) What is the length of the segment connecting the points (2,4) & (8,6)?
c) What is the midpoint formula?
d) Determine the midpoint of the segment.
2.
Complete the following examples of the properties of congruence:
Symmetric Property: AB  ______
Transitive Property:
AB  CD
CD  EF
____________
Reflexive Property:
AB  ______
3. “If a number is divisible by 3, then it is divisible by 6. “
Prove this statement is incorrect by giving a counterexample.
4. Draw a conclusion from the given information.
Given: If two ∠’s form a linear pair, then they are supplementary.
If two ∠’s are supplementary, then the sum of their measures = 180°.
Conclusion:
5. Complete the conjectures:
a) “The sum of 2 odd numbers is a ____________ number.”
b) “The sum of 2 even numbers is a ___________ number.”
c) “The product of 2 even numbers is a ___________ number.”
6.
Write a justification for each step:
m∠ABC=110°
m∠ABC=m∠ABD + m∠DBC
(1)__________________________
110°=(3n+8)° + (2n+2)°
(2)__________________________
110°= 5n + 10
(3)__________________________
100°= 5n
(4)__________________________
20=n
(5)__________________________
n=20
(6)__________________________
7.
p: 5 x 5 = 25
q: The day after Monday is Wednesday
r: Canada is part of the United States
8. Given the points: A(1,1), B(3,5) and C(5,1)
Prove: AB  CB
9. What is the negation of the following statements:
(a) “I will study for my test”
(b) “I will not do well on my test”
10. Given the statement:
“If a # is divided by 3, then the result is an even #”
Is this statement true or false? If false give a counterexample to prove your conclusion.
11. “If a number is divisible by 14, then it is also divisible by 4.
Which of the following is a counterexample?
( 1 ) 28
( 2 ) 56
( 3 ) 42
( 4 ) 84
12. Which statement is always logically equivalent to the original conditional statement?
( 1 ) Inverse
( 2 ) Converse
( 3 ) Contrapositive
13. Write the inverse, converse & contrapositive of the following statement, and
determine which is logically equivalent to the original statement:
“If it rains, then we get wet”
Define:
a) Segment Addition-
b) Angle Addition-
c) Substitution Property-
d) Symmetric Property-
e) Transitive Property-
f) Reflexive Property-
g) Inverse
h) Converse
i) Contrapositive-
j) Truth Value-
k) Logically Equivalent-
l) Negation of a Statement-