All About Conditional Statements
Name the Postulates/Theorems/Properties
Truth Tables
Inductive and Deductive Reasoning
100
What is the converse of this statement? Original: "If the beach ball pops, then it is flat."
If it is flat, Then the beach ball popped.
100
Choose the property that justifies the following.
If
-3x+5+2x=12
and x=4, then
-3(4)+5+2(4)=12
What is...
Substitution Property.
100
How many students participate in swimming, or diving, or both?
26
100
Write a conjecture that describes the pattern in the sequence. What is the next term in the sequence?
200
"If the sun is NOT shining, then we are inside watching tv." What is the Inverse of this statement?
If the sun is shining, Then we are not inside watching tv.
200
If
overline (AB) cong overline DE
, then
overline (DE) cong overline AB
. This is an example of...
Symmetric Property of Equality.
200
If p is a false statement and q is a true statement, what is the truth value of
p wedge q
False
200
Provide a counterexample
If 𝑥 + 4 > 10, then x is greater than 8.
6.1, 6.5, 7, 7.3, 7.555555, 7.9999
300
"If we are in Biology, then we are in school." What is the contrapositive statement?
If we are not in school, then we are not in biology.
300
Decide is the following statement is true always, sometimes, or never.
A line contains 3 or more points.
What is...
sometimes.
300
If p is a true statement and q is a false statement, what is the truth value of
(p vee q)
True
300
Provide a counterexample:
If angle ABC is obtuse, then it is equal to 100°.
False
Counterexample: an angle equal to 145°
400
What does negation mean and what is its symbol?
Symbol: ~
Means "not"
400
Which property is illustrated by the following statement: If (a+b) = (d+e), then (a+b) - c = (d+e) - c
Subtraction Property of Equality
400
Fill in the following blanks for the truth table below.
T, T, T,f
400
Provide a counterexample:
If x²=16, then x=4.
False, x = -4
500
Write the statement in if-then form. "Get a free milkshake with any combo purchase."
If you buy a combo, then you get a free milkshake.
500
What does the Segment Addition Postulate state?
What is...
If B is between A and C, then AB + BC = AC.
OR
If AB + BC = AC, then B is between A and C.
500
Fill in the following blanks for the truth table below.
T, F, F, F
500
Provide a counterexample to the following statement. "All lines will eventually intersect with each other."
False. Parallel lines will never intersect.