Show:
TrUe/FaLsE
cOnJeCtUrEs
ReLaTeD cOnDiTiOnAlS
dEtAcHmEnt/SylLoGiSm
vOcAbUlArY
100
Given: <1 and <2 are complementary. Conjecture: <1 and <2 form a right angle.
False.
100
4, 6, 9, 13, 18, _, _
24, 31
100
Cond: If 2 angles form a linear pair, then they are supplementary. What is the inverse?
If 2 angles do not form a linear pair, then they are not supplementary.
100
Syllogism: In-line skaters live dangerously. If you live dangerously, then you like to dance. If you are and in-line skater, then.....
You like to dance.
100
A convenient method for organizing the truth values of statements is to use a ___.
truth table
200
Given: Points A, B, C, and D Conjecture: A, B, C, and D are noncollinear.
False
200
1/3, 1, 5/3, 7/3, 3, _
11/3
200
Converse: If they grow, then plants have water. What is the conditional?
If plants have water, then they will grow.
200
Detachment: If the measure of an angle is greater than 90, then it is obtuse. m
200
A ___ is a compound statement formed by joining two or more statements with the word and.
conjunction
300
Given: WXYZ is a rectangle. Conjecture: WX=YZ and WZ=XY
True
300
2, -6, 18, -54, _, _
162, -486
300
Conditional: If you live in White House, then you live in TN. What is the contrapositive?
If you do not live in TN, then you do not live in White House.
300
Detachment: If an angle is obtuse, then it cannot be acute.
300
A ___ is a statement that can be written in if-then form.
conditional statement
400
Given: JK=KL=LM=MJ Conjecture: JKLM forms a square.
False
400
-5, 25, -125, 625, _, _, _
-3125, 15625, -78125
400
Conditional: If you excercize regularly, then you are in good shape. What is the inverse?
If you do not excercize regularly, then you are not in good shape.
400
Detachment: If you drive safely, then you can avoid accidents. Tika drives safely,....
Tika can avoid accidents.
400
___ is reasoning that uses a number of specific examples to arrive at a prediction.
Inductive reasoning
500
Given: n is a real number. Conjecture: n squared is a nonnegative number.
True
500
2, 6, 3, 7, 4, 8, 5, _, _
9, 6
500
Inverse: If 2 angles are not perpendicular, then they do not form a right angle. What is the conditional?
If 2 angles are perpedicular, then they form a right angle.
500
Syllogism: If you spend money on it, then it is a business. If it is a business then it is fun. If you spend money on it, then.....
It is fun.
500
The ___ of a statement has the opposite meaning as well as an opposite truth value.
negation