WorksheetsGeometry Test 2
Total questions: 71
Worksheet time: 3hrs 34mins
Given: B is the midpoint of AC. What should you conclude?
AB + BC = AC
AB = BC
A is the segment bisector of BC
ABC is a straight angle
Which of the following is an example of the transitive property?
If x = 5 and and x = y, then y = 5.
If x = y then y = x
x = x
If 2x + 4 = 2, then x = -1
If B is the midpoint of segment AC, then AB = BC.
Definition of Congruent Segments
Definition of Midpoint
Vertical Angles Theorem
Definition of Angle Bisector
What is the justification?
Definition of congruence
Reflexive Property of Congruence
Segment Addition Postulate
Definition of Midpoint
What is the justification?
Segment Addition Postulate
Definition of Midpoint
Addition Property of Equality
Complement Theorem
What is the justification?
Transitive Property of Equality
Subtraction Property of Equality
Division Property of Equality
Substitution Property of Equality
What is the justification?
Definition of Congruence
Segment Addition Postulate
Transitive Property of Congruence
Definition of Midpoint
Multiplication Property of Equality
Segment Addition Postulate
Definition of Midpoint
Symmetric Property of Congruence
What reason justifies statement #7?
Definition of Midpoint
Transitive Property
Addition Property
Segment Addition Postulate
Substitution Property
What reason justifies statement #8?
Definition of Midpoint
Transitive Property
Addition Property
Segment Addition Postulate
Substitution Property
What reason justifies statement #6?
Definition of Midpoint
Transitive Property
Addition Property
Segment Addition Postulate
Substitution Property
What reason justifies statement #5?
Definition of Midpoint
Transitive Property
Addition Property
Segment Addition Postulate
Substitution Property
What reason justifies statement #4?
Definition of Midpoint
Transitive Property
Addition Property
Segment Addition Postulate
Substitution Property
What reason justifies statement #2?
Definition of Midpoint
Transitive Property
Addition Property
Segment Addition Postulate
Substitution Property
If 9=x, then x=9
What is the 2nd step?
distribution property
subtraction property of equality
addition property of equality
multiplication property of equality
What is the 3rd step?
addition property of equality
subtraction property of equality
associative property
zero product property
What is the name of the following format of logical argument?
If A, then B.
A.
Therefore B.
Modus Ponens
Modus Tollens
Transitivity
invalid
What is the name of the following format of logical argument?
If A, then B.
Not A.
Therefore not B.
Modus Ponens
Modus Tollens
Transitivity
invalid
What is the name of the following format of logical argument?
If A, then B.
If B, then C
Therefore, if A then C.
Modus Ponens
Modus Tollens
Transitivity
invalid
P1: If I am happy, then I smile.
P2: I am not smiling.
C: Therefore I am not happy.
Modus Ponens
Modus Tollens
Transitivity
invalid
P1: If you go get gas, then you can drive your car.
P2: You cannot drive your car.
C: Therefore, you cannot go get gas.
Modus Ponens
Modus Tollens
Transitivity
invalid
P1: If you're sick, then you must stay home.
P2: You're sick.
C: Therefore, you must stay home.
Modus Ponens
Modus Tollens
Transitivity
invalid
P1: If Eagles are birds, then Eagles fly.
P2: Eagles are birds.
C: Therefore, eagles fly
Modus Ponens
Modus Tollens
Transitivity
invalid
If you live in Orlando, then you live in Florida.
You live in Orlando.
If a whole number is even, then its square is divisible by 4.
The number I am thinking of is an even number.
Given: If an animal is a dog, then they like biscuits.
Sammy is a dog.
Conclusion: Sammy likes biscuits.
Use Modus Ponens to draw a conclusion from the two given statements. If not possible, write not possible.
Conditional: If Jack goes to school, then it is Monday.
Premise: Jack doesn't go to school.
Jack skipped school.
It isn't Monday.
It's Saturday.
Not Possible
If I comb my hair, then I won't have tangles.
I have tangles.
Therefore, I didn't comb my hair.
Which law is being demonstrated?
Modus Ponens
Transitivity
Modus Tollens
invalid
If you go to the mall, then you will spend money.
You didn't spend any money today.
What is the logical conclusion?
Therefore, you didn't go to the mall.
Therefore, you don't have any money.
Therefore, you went to the mall.
There is no logical conclusion.
If you don't feel well, then you stay home.
You feel well.
What is the logical conclusion?
Therefore, you stay home.
Therefore, you don't stay home.
Therefore, you don't feel well.
There is no logical conclusion.
Given the conditional statement;
"If it is Wednesday, then Jane doesn't have baseball practice."
What is the hypothesis of this statement.
It is Wednesday
Jane doesn't have baseball practice
If it is Wednesday
Then Jane doesn't have baseball practice
Given the statement;
"If it snows then the school will be closed"
Which is the inverse?
If the school is open, then it didn't snow.
If the school is closed, then it snowed.
If it doesn't snow, then the school will be open.
Let it Snow!
Given the conditional statement;
"If I am hungry, then I eat."
Which of the following is the inverse?
If I eat, then I am hungry.
If I don't eat then I am not hungry
If I am not hungry, then I don't eat.
If I am not hungry, then I eat.
Given the conditional;
"If Jose eats fish, then he has an allergic reaction"
Which of the following is the converse?
None of these
If Jose doesn't have an allergic reaction, then he didn't eat fish.
If Jose doesn't eat fish, then he doesn't have an allergic reaction.
If Jose has an allergic reaction, then he ate fish.
What is the contrapositive to this?
If an angle is not greater than 90, then it is not obtuse
If an angle is not obtuse then it is not greater than 90.
If an angle is 90, then it is right
If an angle is not greater than 90 then it must be acute
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.
Given the statement;
"If it snows then the school will be closed"
Which is the inverse?
If the school is open, then it didn't snow.
If the school is closed, then it snowed.
If it doesn't snow, then the school will be open.
Let it Snow!
Which is the converse of the statement?
If you are not a guitar player, then you are not a musician.
If you are a musician, then you are a guitar player.
If you are a guitar player, then you are not a musician.
If you are not a musician, then you are not a guitar player.
If Jenny buys a guitar, then she will not buy a keyboard.
What is this?
If Jenny does buy a keyboard, then she will not buy a guitar.
Converse
Inverse
Contrapositive
Negation
If I have a Siberian Husky, then I have a dog.
Identify the hypothesis.
If I have a Siberian Husky.
I have a Siberian Husky.
Then I have a dog.
I have a dog.
If Jenny buys a guitar, then she will not buy a keyboard.
What is this?
If Jenny does buy a keyboard, then she will not buy a guitar.
Converse
Inverse
Contrapositive
Negation
What is the inverse of this conditional?
If monkeys don't wear hats, then chickens don't marry turtles.
If chickens don't marry turtles, then monkeys don't wear hats.
If monkeys wear hats, then the moon is made of cheese
If monkeys don't wear hats, then chickens are delicious.
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.
What is the converse to this?
If you can see a rainbow, then it is raining and sunny
If you cannot see a rainbow, then it is not raining and sunny.
If it is not raining and sunny, then you cannot see a rainbow.
If it is raining and sunny, then you can see a rainbow.
Given the conditional statement;
"If I am hungry, then I eat."
Which of the following is the inverse?
If I eat, then I am hungry.
If I don't eat then I am not hungry
If I am not hungry, then I don't eat.
If I am not hungry, then I eat.
Given the conditional;
"If Destiny goes to work tonight, then she will make money"
What is the conclusion?
Destiny goes to work tonight
Destiny doesn't go to work
She will make money
then she will make money
Given the conditional;
"If our class earns ten trucks, then we get a treat."
What is the contrapositive?
If our class doesn't earn ten trucks then we don't get a treat.
If our class doesn't get a treat, then we didn't earn ten trucks.
If out class earns ten trucks then we don't get a treat.
Trucks!
Given the conditional "If I study, then I will do well on the quiz" and what is the statement "If I don't study then I won't do well on the quiz"?
Converse
Inverse
Contrapositive
Contrainverse
This symbol, /\, means?
AND
NOT
OR
IF/ THEN
This symbol, V, means?
AND
NOT
OR
IF AND ONLY IF
This symbol, → , means?
AND
NOT
IF/ THEN
IF AND ONLY IF
