Share Reasoning and Proof
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It is accepted as true without proof
Postulate
Inductive or deductive: The chair in the bedroom is brown. The chair in the dining room is brown. The chair in the living room is brown. “All the chairs in the house are brown”.
Inductive
Inductive or Deductive: All dolphins are mammals. Mammals have kidneys. “Dolphins have kidneys”
Deductive
Inductive or Deductive: If any student comes late to the school, he is fined. “Adams came late to school, so he will be fined”.
Deductive
It is an educated guess based on known information
Conjecture
What property of equality is illustrated: If 2 = x, then x = 2.
Symmetric Property
In a school of 292 students, 94 participate in sports, 122 participate in academic clubs, and 31 participate in both. How many students at the school do not participate in sports or academic clubs?
107
What is the contrapositive of the statement: " If a triangle has one obtuse angle, then it is an obtuse triangle."
If a triangle is not obtuse, then it does not have one obtuse angle.
Always, Sometimes or Never: Two angles that are supplementary form a linear pair.
Sometimes
Always, Sometimes or Never: If B is between A and C, then AC + AB = BC
Never
Always, Sometimes or Never: If two lines intersect to form congruent adjacent angles, then the lines are perpendicular.
Always
Always, Sometimes or Never: If two angles are complementary then they form a right angle.
Sometimes
What is the if-then form of the statement: " Four quarters can be exchanged for a 1$ bill
If you have four quarters, then it can be exchanged for a $1 bill.
A compound statement formed by joining two or more statements with the word and.
Conjunction
How many customers have dogs or fish?
106
How many have cats and dogs?
16
