Segments and Angles
Construction
Midpoint & distance
Inductive reasonig
Conditional Statements
Deductive Reasoning
Writing Proofs
Indirect Proof
100
Name the following geometric figure.
segment JP
100
What two segments are congruent in this figure?
Segment AB & Segment CD
100
Find the midpoint between (-3,5) & (-3,8)
(-3, 6.5)
100
When using Inductive Reasoning, you reach your conclusions based on what?
patterns
100
What are the two key words in a conditional statement?
If - Then
100
What are the two laws of deductive reasoning?
Law of Detachment
Law of Syllogism
100
In the Anatomy of a Two column Proof, what are the titles of the two columns?
Statements & Reasons
100
What is an indirect proof?
Proof by contradiction
200
Name the following geometric figure.
Ray JS
200
What two angles are congruent in this figure?
Angle 1 & Angle 4
200
Find the midpoint between (9,10) & (-6,-7)
(1.5, 1.5)
200
What is a conjecture?
unproven statement based on inductive reasoning
200
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.
200
Use the Law of Detachment.
If the sun is out, then you should wear SPF.
The sun is out.
You should wear SPF.
200
In a Two Column Proof, the Given is the __________ and the Prove is the _________
Hypothesis, Conclusion
200
What is the assumption?
If a number is an integer, it is rational.
The number is not rational.
300
What is the length of this segment? (inches)
6(10/16) or 6(5/8)
300
Find the length of unknown segment.
8
300
Find the midpoint between (5,-8) & (4,-8)
(4.5, -8)
300
What is a counterexample?
an example that proves a conjecture false.
300
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.
300
Use the Law of Detachment.
If you fail the Math test, then your grade will suffer.
You scored a 34%.
Your grade will suffer.
300
In a Two Column Proof, what is ALWAYS your first Reasons?
Given
300
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.
400
What is the degree of this angle?
71o
400
What is an angle bisector?
a ray dividing an angle into two congruent angles.
400
Find the distance between (-10,8) & (-10,9)
1
400
Use inductive reasoning to determine the next two terms.
12, 9, 11, 8, 10, ...
7, 9
400
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.
400
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.
400
If AB+BC = AC, Then AC < AB
What is the Given?
AB + BC = AC
400
What must first be assumed to prove that angle X is a right angle?
Angle X is NOT a right angle
500
Use Angle Addition to find unknown length.
162o
500
Solve for the unknown measure, knowing that this is an angle bisector.
42o
500
Find the distance between (-8,-5) & (8,5)
18.9
500
Complete the conjecture.
The sum of two even number is _______.
Even
500
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.
500
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.
500
If M is the midpoint of AB, then AB = 2*AM
What is the Prove?
AB = 2*AM
500
Given: angle 1 and angle 2 are complementary & angle 1 = 23
Prove: angle 3 = 113
What can you assume?
angle 3 does not = 113
600
Use segment addition to find the unknown length.
4
600
Solve for the unknown measure, knowing that this is an angle bisector.
35O
600
Find the distance between (12,-7) & (15,6)
13.3
600
Find a counterexample of the following.
The quotient of all even numbers is a whole number
Checked by Teacher
600
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.
600
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
600
What is an example of a Justification?
Postulate, Theorem, Definition, or Property
600
Given angle F and Angle G are right angles
Prove: angle F = Angle G
What can you assume?
Angle F does not = Angle G