2.1 Inductive Reasoning
2.2 Analyzing Conditional Statements
2.3 Apply Deductive Reasoning
Finish the Postulate or Theorem
Angle Pairs and Relationships
100
Determine the next 2 numbers in the pattern and describe the pattern.
3, 24, 45, 66,______, ________.
What is 87, 108 and +21
100
Identify the hypothesis of this statement. If it is raining, then there are clouds in the sky.
What is "it is raining"
100
_____________ uses facts, definitions, accepted properties, and the laws of logic to form a logical argument.
What is Deductive Reasoning
100
Through any two points there exists exactly ___________.
What is One Line
100
If angle A and angle B are both supplementary to angle C, then angle A and angle B are ___________?
What is Congruent
200
What is the next number in the pattern and describe the pattern.
3, 9, 81, ________.
What is 6561. The previous number squared.
200
What is the converse of this statement.
If the angle is acute, then the angle measure is 28 degrees.
What is "If the angle measure is 28 degrees, then the angle is acute."
200
Use the law of detachment to make a conclusion
Mary goes to the movies every Friday.
Today is Friday.
What is Mary will go to the movies
200
State the Theorem
Vertical angles are congruent
What is Vertical Angles Theorem
200
If angle ABC = 90 find the measure of angle ABD and anlge DBC.
What is:
Angle ABD= 40
Angle DBC= 50
300
Give a counterexample for the following statement.
If x^2 = 49, then x = 7
What is x = -7
300
Write the statement in "If-then" form.
Tourists at the Alamo are in Texas.
What is "If tourists are at the Alamo, then they are in Texas."
300
Using the law of Syllogism, give a new conditional statement that follows from the pair of true statements.
If a truck goes by the dog will bark.
If the dog barks, the cat will hide.
What is "If a truck goes by, then the cat will hide."
300
Through any three ________________, there exists exactly ___________.
What is Noncollinear Points. One Plane.
300
If angle 1 and angle 2 are supplementary and angle 1 is equal to 2x+3 and angle two is equal to x-6, what is the value of x?
What is 61.
400
What are the first 3 numbers of the pattern?
_____, _______, _______, 81, 243, 729.
What is 3, 9, 27.
400
Find the inverse and contrapositive of the following statement. If n=9, then n^2=81
Inverse: If n does not equal 9, then n^2 does not equal 81 Contrapositive: If n^2 does not equal 81, then n does not equal 9
400
If x>12, then x + 9 > 20.
x=14
What is x + 9 > 20
400
If _______________, then their intersection is exactly one point.
What is What is Two Lines intersect.
400
If angle 1 and angle 2 are vertical angles and angle 1 is equal to x+16 and angle 2 is equal to 4x-5 find the measures of angles 1 and 2.
What is:
angle 1 = 23
angle 2 = 23
500
Give a definition of conjecture in your own words.
What is a guess based on observation.
500
The statement below is reversible (meaning the CONVERSE is also true). Write a biconditional statement.
If a whole number is a multiple of 2, then the whole number is even.
What is:
A whole number is a multiple of 2 IF AND ONLY IF the whole number is even.
OR
A
whole number is a multiple of 2 IFF the whole number is even.
500
If you live live in the Bronx, then you live in New York.
If you live in New York, then you live in the 11th state to enter the union.
Tracy lives in the Bronx.
Tracy lives in the 11th state to enter the union.
500
Finish this Postulate
If two angles form a _______________, then they are supplementary.
What is Linear Pair
500
Assume angle 1 and angle 2 are complementary and angle 2 and angle 3 are supplementary. If the measure of angle 2 is equal to 55 degrees, what is the measure of angle 1 and the measure of angle 3?
What is 35 degrees and 125 degrees.