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?