3.1
What is the definition of conjecture?
what is a conjecture is an educated guess.
What is it called when a statement relies on another?
What is a conditional?
Uses general facts, rules, definitions, or properties to reach specific valid conclusions.
What is Theorem 3.3?
What is if angles form a linear pair then they are supplementary?
What is postulate 3.14?
Postulate 3.14 is the Perpendicular Postulate which says if given a line and point not on the line, then there exists exactly one line through the point that is perpendicular to the given line.
What is the definition of Inductive Reasoning?
What is the process of reaching a conclusion based on a pattern of examples.
When using and in a conditional what is the symbol used with p and q?
What is p^q?
What is the definition of inductive reasoning?
Uses patterns of examples or observations to make a general conclusion.
What theorem says all right angles are congruent?
What is theorem 3.10?
What is Theorem 3.24?
Theorem 3.24 says in a plane, if two lines are each equidistant from a third line, then the two lines are parallel to each other.
What is the next term in the sequence: 8:30am, 9:15am, 10:00am, and 10:45am............
11:30am
What is the following an example of?
"if statement p, then statement q"
What is a compound statement?
What is the definition of The Law of Detachment?
If p --> q is a true statement and p is true, then q is true.
What theorem says perpendicular lies form congruent adjacent angles?
What is theorem 3.11?
There is a _________ number of lines that can be drawn to intersect a line from a given point not on that line.
Create a conjecture about the product of two EVEN numbers.
What is a bi-conditional statement?
What is the conjunction of a statement and its converse?
What is the definition of The Law of Syllogism?
If p --> q and q --> r are true statements,
then p --> is a true statement.
What does theorem 3.13 say?
What is if two congruent angles form a linear pair then they are both right angles?
True of False: To find the distance between the line and point you must find the line with the longest distance.
False, you must find the line with the SHORTEST distance.
Provide one counterexample to the following conjecture: If an item costs $1.99 then it is a pack of bubblegum.
There are multiple answers, the item could be an apple, orange, banana etc.
What is the inverse?
What is the opposite?
Is this an example of The Law of Detachment or The Law of Syllogism?
If you get a job, then you'll earn money.
If you earn money, then you can buy a car.
Conclusion: If you get a job, then you can buy a car
This is an example of Law of Syllogism.
What theorem states perpendicular lines intersect to four right angles?
What is theorem 3.9?
The shortest distance is the length of the segment that is __________ to that line through the point.
Perpendicular