Name the following geometric figure.
segment JP
What two segments are congruent in this figure?
Segment AB & Segment CD
Find the midpoint between (-3,5) & (-3,8)
(-3, 6.5)
When using Inductive Reasoning, you reach your conclusions based on what?
patterns
What are the two key words in a conditional statement?
If - Then
What are the two laws of deductive reasoning?
Law of Detachment
Law of Syllogism
In the Anatomy of a Two column Proof, what are the titles of the two columns?
Statements & Reasons
What is an indirect proof?
Proof by contradiction
Name the following geometric figure.
Ray JS
What two angles are congruent in this figure?
Angle 1 & Angle 4
Find the midpoint between (9,10) & (-6,-7)
(1.5, 1.5)
What is a conjecture?
unproven statement based on inductive reasoning
Write the following as a conditional statement.
When you order off the app your drink will be half price.
If you order your drink off the app, then it will be half price.
Use the Law of Detachment.
If the sun is out, then you should wear SPF.
The sun is out.
You should wear SPF.
In a Two Column Proof, the Given is the __________ and the Prove is the _________
Hypothesis, Conclusion
What is the assumption?
If a number is an integer, it is rational.
The number is not rational.
What is the length of this segment? (inches)
6(10/16) or 6(5/8)
Find the length of unknown segment.
8
Find the midpoint between (5,-8) & (4,-8)
(4.5, -8)
What is a counterexample?
an example that proves a conjecture false.
Write the converse of the following conditional statement.
If it is Wednesday, then you are wearing pink.
If you are wearing pink, then it is Wednesday.
Use the Law of Detachment.
If you fail the Math test, then your grade will suffer.
You scored a 34%.
Your grade will suffer.
In a Two Column Proof, what is ALWAYS your first Reasons?
Given
Given: angle + angle 2 = 180
Prove: Line l is parallel to line m
What do you assume?
Line l is NOT parallel to line m.
What is the degree of this angle?
71o
What is an angle bisector?
a ray dividing an angle into two congruent angles.
Find the distance between (-10,8) & (-10,9)
1
Use inductive reasoning to determine the next two terms.
12, 9, 11, 8, 10, ...
7, 9
Write the inverse of the following conditional statement.
If it is Tuesday, then you are eating Tacos.
If it is NOT Tuesday, then you are Not eating Tacos.
Use the Law of Syllogism.
If it is 4th period, then you get to eat lunch.
If you get to eat lunch, then you are happy.
If it is 4th period, then you are happy.
If AB+BC = AC, Then AC < AB
What is the Given?
AB + BC = AC
What must first be assumed to prove that angle X is a right angle?
Angle X is NOT a right angle
Use Angle Addition to find unknown length.
162o
Solve for the unknown measure, knowing that this is an angle bisector.
42o
Find the distance between (-8,-5) & (8,5)
18.9
Complete the conjecture.
The sum of two even number is _______.
Even
Write the contrapositive of the following conditional statement.
If you go to Olive Garden, then you get unlimited salad and bread sticks.
If you don't get unlimited salad and bread sticks, then you did not go to Olive Garden.
If you are on Holiday, then you are a Tourists.
If you travel during Break, then you are on Holiday.
If you travel during Break, then you are a Tourists.
If M is the midpoint of AB, then AB = 2*AM
What is the Prove?
AB = 2*AM
Given: angle 1 and angle 2 are complementary & angle 1 = 23
Prove: angle 3 = 113
What can you assume?
angle 3 does not = 113
Use segment addition to find the unknown length.
4
Solve for the unknown measure, knowing that this is an angle bisector.
35O
Find the distance between (12,-7) & (15,6)
13.3
Find a counterexample of the following.
The quotient of all even numbers is a whole number
Checked by Teacher
Write the Biconditional Statement of the following.
If you are a student at MNHHS, then you are a Maroon.
You are a student at MNHHS if and only if you are a Maroon.
What conclusion can you come to and what law did you use?
If a book is a biography, then it is nonfiction.
You are reading a biography.
It is nonfiction, LOD
What is an example of a Justification?
Postulate, Theorem, Definition, or Property
Given angle F and Angle G are right angles
Prove: angle F = Angle G
What can you assume?
Angle F does not = Angle G