Chapter 2 - Geometry Review

Inductive vs. Deductive

100

If two angles have a sum of 90 degrees then they are complementary. Is this inductive or deductive reasoning? 

Deductive. 

200

What is the difference between inductive and deductive reasoning?

Inductive - patterns/observations

Deductive - facts/truths

300

State the pattern for the inductive reasoning and conclude what the next term is....

1, 3, 7, 13 ...

21

400

Deductive or inductive? 

All even numbers are divisible by 2. 28 is an even number. Therefore, 28 is divisible by 2. 

Deductive 

500

Give me one example of a deductive reasoning. 

Example. 

Logic

100

Disjunctions use the connecting word ______

"or"

200

What is the negation of: "All animals are mammals."

All animals are not mammals. 

300

What is the symbolic annotation for a CONJUNCTION?

p ^ q

400

“Either I pass this course or I fail this course.” Conjunction or disjunction? Write the symbolic annotation. 

Disjunction

500

Write your own conjunction using two statements. 

Example

Conditional Statements

100

What is a counterexample? 

An example that disproves a statement. Makes it false. 

200

What is the converse of: "If two lines are parallel, then they never intersect."

If lines never intersect, they are parallel. 

300

Turn the conditional statement into if-then form. 

p: An angle is less than 90 degrees.

q: The angle is acute.

If an angle is less than 90 degrees, then angle is acute.

400

What is a contrapositive statement in symbols? 

~q - ~p

500

What is the inverse statement of: if the polygon has 3 sides, then the shape is a triangle.

If the polygon does not have 3 sides, then the shape is not a triangle.

Vocabulary

100

What is a hypothesis? 

An educated guess that can be tested. 

200

What is the symbol used to show a negation/or to make something false?

~

300

What is a compound statement?

Two or more statements that are connected using the words "and" or "or". 

400

A ____________________ is an example that disproves or proves false a conjecture or statement.

counterexample

500

Using inductive reasoning, make a conjecture and complete the pattern below… 3, 6, 12, 24, 48, …

96

Random Trivia

100

M&M’S Fruit Chews would eventually become what popular candy?

Starbursts

200

What is another names for "Santa Claus"?

Saint Nick, Father Christmas, Saint Nicolas 

300

What do the following words have in common: isosceles, equilateral, and scalene?

Triangles

400

Anna, Elsa Kristoff and Olaf are all characters in what animated movie?

Frozen 

500

What is the school’s mascot in “High School Musical”?

Wildcats