Converse
Inverse
Contrapositive
Inductive and Deductive reasoning
Biconditional statements
Points, Lines, and Planes
Algenraic Proofs
Geometric Vocabulary
100
What is the converse of this statement?
Original: If the beach ball pops, Then it is flat.
If it is flat, Then the beach ball popped.
100
If Gummy Bears are Gummy, Then they must be made by Haribo.What is the inverse of this statement?
If Gummy Bears are NOT Gummy, Then they are NOT made by Haribo.
100
If the sun is shining, then we are not watching tv. What is the contrapositive?
If we are watching tv, Then the sun is NOT shining.
100
Indicate whether the following argument is inductive or deductive reasoning.Since all squares are rectangles, and all rectangles have 4 sides, all squares have four sides. __________
(Bonus:What law is it?)
Deductive reasoning
Bonus: Law of Sylligism
100
What is the definition of Biconditional statement?
A statement that contains the phrase "if and only if"
100
Name three ways to name line l
UB, UH, BH, HB, HU, BU
100
Distributive Property
100
These are the three building blocks of Geometry
What are points, lines, and planes?
200
What do you do to the statement when you are using the Converse method?
Switch
200
What is the definition of Inverse?
Formed when you negate the hypothesis and trhe conclusion.
200
What is the definition of contrapositive?
Formed by negating the hypothesis and conclusion and switching the hypothesis and the conclusion.
200
Find the next term in the sequence:
A, D, G, J, _____
What is M?
200
What is this biconditional statements conditional statement?An angle is a straight angle IF AND ONLY IF its measure is 180 degrees.
If an angle is a straight angle, then its measure is 180 degrees.
200
AB with ( <--> ) on top
BD with ( <--> ) on top
DB with ( -->) on top
or BD with ( -->) on top
BD with ( -->) on top
200
What are the reasons for the steps?
1. Given
2. Subtractions POE.
3. Division POE.
200
A segment with both endpoints located ON the circle is called a...
What is a Chord?
300
What is the definition of Converse?
Formed by switching the hypothesis and the conclusion of Converse?
300
What do you do to the statement when you use the inverse method?
Negate the hypothesis and the conclusion.
300
What do you do when use the contrapositive method?
Switch and Negate
300
What is inductive reasoning?
Inductive reasoning is when you use a process that includes looking for patterns and making conjectures.
300
What is the difference between a Biconditional statement and a Conditional statement?
A Biconditoional statement has the phrase "if and only if" and a Conditional statement is a logical statement that has two parts(hypothesis and a conclusion).
300
DOUBLE MONEY!!! How many chords can you draw on this circle
What is 3?
300
What is the reason for the statement below?
Given: m∠1 = 63
m∠1 + m∠2 = 90
Prove: 63 + m∠2 = 90
Substitution Property of Equality
300
Supplementary angles have a sum of...
What is a 180 degrees?
400
If the sun is shining, Then we are not watching tv. What is the converse of this statement??
If we are not watching tv, Then the sun is shining.
400
If the sun is NOT shining, Then we are NOT inside watching tv. What is the Inverse of this statement?
If the sun is shining, Then we are inside watching tv.
400
If the field is wet, Then it rained last night.
What is the contrapositive of this statement?
If it did NOT rain, Then the field is NOT wet.
400
Indicate whether the following argument is inductive or deductive reasoning.All swans we have seen have been white; therefore the next swan we see will be white. _______
inductive reasoning
400
What is included in a Biconditional statement?
The phrase "if and only if"
400
What is another name for <YWX?
What is <XWY?
400
If 3x + y = 14 and y = 9, then 3x + 9 = 14.
Substitution Property of Equality
400
Complementary angles have a sum of...
What is 90 degrees?
500
If my allowance increases, Then I can save more money. What is the converse of this statement?
If i can save more money, Then my allowance increased/increases.
500
If the statement is correct, Then i am the best. What is the inverse of this statment?
If the statement is NOT correct, Then i am NOT the best.
500
Write the contrapositive of the following statement, then determine its truth value. If an angle measures less than 90 degrees, then it is acute.
If an angle is not acute, then it does not measure less than 90 degrees. TRUE
500
Indicate whether or not this staement is inductive or deductive reasoning?The sun is a star; the sun has planets; therefore some stars have planets.__________
Deductive reasoning
500
What is B, Angles are supplementary if and only if their sums is 180 degrees?
500
Name the intersection of the planes
Line n
500
What are the remaining steps?
2.Distributive Property
3.Subtraction POE
4. Division POE
500
Which of the following is NOT an undefined term in geometry?
Plane, line, ray, or point?
What is a ray?