TrUe/FaLsE
Given: <1 and <2 are complementary. Conjecture: <1 and <2 sum up to 180.
What is false?
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.
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.
A convenient method for organizing the truth values of statements is to use a ___.
What is a truth table?
Given: Points A, B, and C are noncolinear: A, B, and C form a triangle
What is True?
Converse: If they grow, then plants have water. What is the converse?
If plants have water, then they will grow.
Detachment: If the measure of an angle is greater than 90, then it is obtuse. The measure of angle A is 130 degrees.
What is "It is obtuse."
A ___ is a compound statement formed by joining two or more statements with the word and.
What is a conjunction?
Given: If a polygon has four sides, then it is a rectangle.
What is false.
Conditional: If you live in the 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.
Detachment: If an angle is obtuse, then it cannot be acute. Angle A is a vertical angle.
No valid conclusion.
A ___ is a statement that can be written in if-then form.
What is a conditional statement?
The converse of: "If a number is divisible by 10, then it is divisible by 5."
What is false?
Conditional: If you exercise regularly, then you are in good shape. What is the inverse?
If you do not exercise regularly, then you are not in good shape.
Detachment: If you drive safely, then you can avoid accidents. Tika drives safely,....
Tika can avoid accidents.
___ is reasoning that uses a number of specific examples to arrive at a prediction.
What is Inductive reasoning
Given: n is a real number. Conjecture: n squared is a nonnegative number.
True
Inverse: If 2 angles are not perpendicular, then they do not form a right angle. What is the conditional?
If 2 angles are perpendicular, then they form a right angle.
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.
The ___ of a statement has the opposite meaning as well as an opposite truth value.
what is negation