Conditional Statements
Reasoning
Diagrams
Counterexamples and Postulates
Properties
100
The portion of the conditional statement that comes after the word "then"
What is the conclusion?
100
This type of reasoning uses patterns in specific cases to make a conjecture about a general case.
What is inductive reasoning?
100
The intersection of 2 planes.
What is a line?
100
A counterexample for this conjecture: If two integers are added, their sum is positive.
What is -6 and 1? (answers may vary)
100
Using the addition property, fill in the blank: if a = b, then a + 5 = _________
What is "b + 5?"
200
To make the opposite of a statement
What is to negate a statement?
200
Which type of reasoning is used in this statement? Every Friday night, your parents allow you to use their car to go out with friends. This Friday night, you will be using the car to go out with friends.
What is inductive reasoning?
200
According to the diagram, what can you conclude about points G, F, and E?
What is "they are collinear?"
200
If two points lie in a plane, then the ___________________ containing them lies in the plane.
What is "line"
200
The following statement is an example of the _________________ property: if m = n, then 5m = 5n
What is multiplication?
300
This is a statement that you can make "if and only if" both the original statement and its converse are both true.
What is a biconditional statement?
300
What type of reasoning is used in the following statement? If 4x - 7 = 5, then x = 3
What is deductive reasoning?
300
Through any three ________________ ______________ there exists exactly one plane.
What is "noncollinear points?"
300
Give a counterexample for the following conjecture: If I am in class, I am taking notes.
What is "I am in art class and drawing a portrait." (answers may vary)
300
Fill in the blank with the proper answer using the symmetric property: If AB = CD, then ________
What is CD = AB?
400
In the following statement, it's the portion that is considered the hypothesis: If it is raining outside, I am carrying an umbrella.
What is "it is raining outside."
400
The first line of any proof is always the ______________
What is given information?
400
According to the diagram, answer true or false: Points D, H, C and F are coplanar.
What is false?
400
The intersection of two lines is _______________
What is a point?
400
The property used in the following statement: If m ( n - 17 ) = 50, then mn - 17m = 50
What is the distributive property?
500
Give the converse of the following statement: If a polygon has 5 sides, it is a pentagon.
What is "if it is a pentagon, a polygon has 5 sides."
500
The right side of the double column proof is called
What is "reasons" or "justifications"
500
From the diagram, this is the reason we can say that the measure of angle 1 is = the measure of angle 3.
What is angle 1 and angle 3 are vertical angles?
500
Give a counterexample to the following statement: If two angles are supplements of each other, then one of the angles must be acute.
What is "two right angles are supplements of each other, and neither of them are acute."
500
The property used in the following statement: If DC < AB, and AB < XY, then DC < XY
What is the transitive property?
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