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Worksheets2.1 - 2.3 Review for Quiz
Total questions: 47
Worksheet time: 2hrs 21mins
(section 2.1) What is this?
Conditional Statement
Inverse
Converse
THIS IS A GEOMETRY CLASS!!! GIVE ME NUMBERS!
(section 2.1) What is this mean?
Conditional Statement
Converse
Inverse
Contrapositive
(section 2.1) What does this mean?
Conditional Statement
Inverse Statement
Converse Statement
Contrapositive Statement
(section 2.1) q → p
conditional
converse
inverse
contrapositive
(section 2.1) What is the hypothesis of the given Conditional Statement?
Jimmy will go to Orlando
Jimmy goes on vacation
Jimmy will go to Orlando
Who is Jimmy?
(section 2.1) What is the conclusion to this?
Clarkson will be the coolest
Clarkson will not be the coolest
Clarkson gives us Mountain Dew
Clarkson will not give us Mountain Dew
(section 2.1) To write the converse you negate both the hypothesis and the conclusion.
False
True
(section 2.1) This symbol, ↔, means?
and
or
if and only if
implies
(section 2.1) What is the converse to this statement?
If it isn't dark outside, then it is not night.
If it is night, then it is dark outside
If it is not night, then it is not dark outside.
It is night.
(section 2.1) What is the inverse to this statement?
If you live in Canada, you live in Montreal
If you don't live in Montreal, then you don't live in Canada.
If you don't live in Canada, you don't live in Montreal.
Montreal is in Brazil.
(section 2.1) What is the contrapositive to this?
If the food is not cooked, then it is not in the oven.
If the food is not in the oven, then it is not cooked.
If the food is cooked, then its in the oven.
If food is not in the oven, then its cooked.
(section 2.1) Refer to the following statement: "If a polygon is a has three sides, then it is a triangle."
What is the converse of this statement AND the truth value of it?
If a polygon is not a triangle, then it does not have three sides. TRUE
If a polygon is a triangle, then it has three sides. FALSE
If a polygon is a triangle, then it has three sides. TRUE
If a polygon is not a triangle, then it does not have three sides. FALSE
(section 2.1) Refer to the following statement: "If a polygon is a has three sides, then it is a triangle."
What is the contrapositive of this statement AND the truth value of it?
If a polygon does not have three sides, then it is not a triangle. FALSE
If a polygon is not a triangle, then it does not have three sides. TRUE
If a polygon is not a triangle, then it does not have three sides. FALSE
If a polygon does not have three sides, then it is not a triangle. TRUE
(section 2.1) What is the biconditional that matches the statement: "A right angle is an angle with 90 degrees."
If an angle has 90 degrees, then it is a right angle.
If an angle is a right angle, then it has 90 degrees.
An angle is a right angle if and only if it has 90 degrees.
(section 2.1)What is the biconditional that matches the statement below: An even number is a number that is divisible by 2.
A number is even if and only if it is divisible by 2.
If a number is divisible by 2, then it is even.
If a number is even, then it is divisible by 2.
(section 2.1)When can a biconditional statement be true?
When the inverse and the converse are both true
When the original statement (conditional statement) & the contrapositive are both true.
When the converse is true.
When the original statement (conditional statement) and the converse are both true.
(section 2.1) Refer to the following statement: "If a polygon is a has three sides, then it is a triangle."
What is the inverse of this statement AND the truth value of it?
If a polygon is a triangle, then it has three sides. TRUE
If a polygon does not have three sides, then it is not a triangle. TRUE
If a polygon does not have three sides, then it is not a triangle. FALSE
If a polygon is a triangle, then it has three sides. FALSE
(section 2.2) A concluding statement reached using inductive reasoning is called a _______
compound statement
conjecture
condition
counterexample
(section 2.2) To fully disprove a conjecture, one needs to find only ONE counterexample.
True
False
(section 2.2) Which of the following is a counterexample to the following conjecture? If x2 = 4 , then x = 2
x = 4
x = -2
x = 2
x = -4
(section 2.2) Which answer would be a counterexample to the following biconditional?
"Greg is a swimmer if and only if he is an athlete."
Greg is an athlete and a basketball player.
Greg is a swimmer.
Greg is not an athlete
There is no counterexample.
(section 2.2) Inductive Reasoning means...
Guessing without any information
Testing and observing patterns to make conjectures
Drawing conclusions from situations based on facts and definitions
Sounding knowledgeable even when you are not
(section 2.2) __________________________ uses facts to draw conclusions.
Deductive Reasoning
Inductive Reasoning
(section 2.2) __________________________ uses specific observations and patterns of behavior to make generalizations.
Deductive reasoning
Inductive reasoning
(section 2.2) Deductive reasoning means...
Guessing without any information
Sounding knowledgeable even when you are not
Testing and observing patterns to make conjectures
Drawing conclusions from situations based on facts and definitions
(section 2.2) Snakes are reptiles and reptiles are cold blooded; therefore, snakes are cold blooded.
Deductive
Inductive
(section 2.2) All observed houses on South Street have roofs that are falling apart. Sherry lives on South Street. Her roof is falling apart.
Deductive
Inductive
(section 2.2) Obtuse angles are greater than 90 degrees. This angle is 110 degrees, so it is obtuse.
Deductive
Inductive
(section 2.2) Determine whether the stated conclusion is valid.
Given: If an animal is a dog, then they like biscuits.
Sammy is a dog.
Conclusion: Sammy likes biscuits.
Invalid
Valid
Sammy is a Great Dane
Sammy is really a cat.
(section 2.2) Draw a conclusion from the statement.
If you live in Orlando, then you live in Florida.
You live in Orlando.
You live in Disney Land
You are an old person.
You live in Florida
You live in Orlando
(section 2.2) Use the law of syllogism to draw a conclusion from the two given statements:
Statement 1: If you exercise regularly, then you have a healthy body
Statement 2: If you have a healthy body, then you have more energy
You have more energy
If you exercise regularly, then you have more energy
You have a healthy body
If you do not have a healthy body, then you do not exercise regularly
(section 2.2) Which law of logic is this?
If I clean the bathroom, then I don't have to do the dishes.
I cleaned the bathroom.
Therefore, I don't have to do the dishes.
Law of Detachment
Law of Syllogism
Law of Contrapositive
None
(section 2.2) Use the Law of Detachment to draw a conclusion from the two given statements. If not possible, write not possible.
Statement 1: If I study for one hour each day, then I will score well on the exam
Statement 2: I will study from 6pm to 7pm tonite.
I study for several hours each day.
I will do well on the exam
If I do well on the exam, I studied for hours.
not possible
(section 2.3) Which of the following cannot be assumed from the diagram?
Points A, B, C and E are coplanar
Points F, B and G are colinear
Line EC intersects plane M at point C
(section 2.3)
True
False
(section 2.3)
True
False
(section 2.3)
True
False
(section 2.3) For any two points, there is a unique line through them
always
sometimes
never
(section 2.3) When two lines intersect it is ____________ at a point.
always
sometimes
never
Only when I wear a striped sweater
(2.3) Are points D and E collinear or coplanar?
Collinear
Coplanar
Both
Neither
(2.3) Name the intersection of Line c and Plane R
Point J
Line HK
Point K
Line MN
(2.3) How would you describe points I, L, C?
collinear
non-coplanar
symmetric
coplanar
(this question is from lesson 2.3)
True
False
(2.3) Which example shows the postulate below:
2.2 A line contains at least two points
(2.3) Postulate 2.5 states A plane contains at least_______ noncollinear points.
three
two
four
(2.3) Which postulate describe the image:
2.1 Through any two points there is exactly one line.
2.4 Through any three noncollinear points, there is exactly one plane
2.5 A plane contains at least three noncollinear points
2.6 If two points lie in a plane, then the entire line containing those points lie on that plane
(2.3) Match the postulate to the image:
If two planes intersect, then their intersection is a line.
