Geometric Notation
A perpendicular intersection happens when
Two lines, segments, or rays that meet to create 90o angles.
If you are a vikings fan then your team is 3-0.
Stambaugh is a vikings fan.
What is can be concluded using deductive reasoning?
Stambaugh's team is 3-0
0, 1, 1, 2, 3.......
name the next three numbers
5, 8, 13
A conditional statement is comprised of these two parts.
If, then statements.
What is the largest Mammal on Earth?
Blue Whale
This is created when two planes intersect
A line
All birds can fly.
If it is true, explain why.
If it is false, give a counterexample.
False. Kiwis, Emus, and Ostriches.
The flamingos here are all pink.
All flamingos I’ve ever seen are pink.
We can then assume this about flamingos.
That all flamingos are pink.
If this, then that. What are the "this" and "that"?
This is a condition/hypothesis. That is the conclusion.
What is the chemical symbol for water?
H20
A plane is made up of
3 noncollinear points.
Deductive Reasoning is commonly used in tandem with this kind of statement.
Conditional Statements
Michael just moved here from Chicago. Michael has red hair. Therefore, all people from Chicago have red hair.
How can we disprove this assumption?
Someone from Chicago with brown hair.
Conditional Statements usually will use this type of reasoning.
Deductive Reasoning
How many bones do sharks have
0
This is the notation for AB = CD
*use pen to add notation
Deductive Reasoning relates to a Rube Goldberg machine is this way.
By only seeing a couple of dominos falling, we can assume that a domino will fall after each domino. Small idea to a blanket rule.
Conditional Statements are also written as "If p, then q," or p-->q. What is it called when we have "If q, then p," or q-->p.
The Converse Statement
What tree is the largest and tallest in the world
redwood
A midpoint is a point that divides what into what?
A line segment into two congruent line segments.
This Greek philosopher is the Father of Deductive Reasoning.
Aristotle
This is the next number in the pattern
45, 21, 9, 3...
0
The rule was (n-3)/2
If p, then q. Given that it is raining is true and it is cloudy is false, is the statement true or false.
If it is raining, then it is cloudy.
False
What is ailurophobia??
Fear of Cats