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WorksheetsGeometry Chp 2 Midterm Review
Total questions: 73
Worksheet time: 5hrs 38mins
Are you excited for the weekend?
(a)
If Jason does not go out to dinner, then he will come to the volleyball game.
What is this? If Jenny does buy a keyboard, then she will not buy a guitar.
What is the inverse?
What is the hypothesis?
What is the converse?
What is the contrapositive?
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
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 reason 2?
39=39
If 9=x, then x=9
What is the fifth Reason?
Symmetric Property of Equality
Subtraction Property of Equality
Multiplication Property of Equality
Division Property of Equality
Name the Property that this statement illustrates:
If x = y, then 3x = 3y.
Multiplication Property Of Equality
Addition Property Of Equality
Symmetric Property Of Equality
Name the property that this statement illustrates:
If g = h, then h = g.
Symmetric Property Of Equality
Subtraction Property Of Equality
6(x + 3)
How would you describe the Law of Detachment symbolically?
if p -> q is true and q is true; then p is true
if p -> q is true and p is true; then q is true
if p -> q and q -> r, then p -> r
What does deductive reasoning use to form its arguments?
patterns
specific cases
observed examples
facts, definitions, accepted properties, and laws of logic
If it is Friday, then I will get paid.
It is Friday.
What is the conclusion?
It is not Friday.
It is Friday.
I will not get paid.
I will get paid.
If Jason plays basketball, then Steve sits on the bench.
If Steve sits on the bench, then Ronald starts at center.
Use the Law of Detachment to determine what you can conclude from the given information, if possible.
If you passed the final, then you pass the class. You passed the final.
You passed the class.
You didn't pass the class
Not possible
Draw a conclusion from the statement.
Given: If you are at least 25 year old, then you can rent a car.
Clay can rent a car.
Conclusion: ?
Clay is at least 25 years old.
Clay can rent a car.
Clay can go on a road trip.
No valid conclusion.
If a figure is a square, then it is a rectangle. If a figure is a rectangle, then it has 4 right angles.
What can you conclude?
If a figure has 4 right angles, then it is a square.
If a figure is a square, then it has 4 right angles.
Nothing
If a figure is a rectangle, then it is a square with 4 right angles.
IF Jimmy named his first child Thing 1
AND his second child Thing 2
THEN He will name his third child Thing 3
Inductive
Deductive
If the stereo is on, then the volume is loud.
If the volume of the stereo is loud, then the neighbors will complain.
Use the Law of Detachment to determine what you can conclude from the given information, if possible.
If your parents let you borrow the car, then you will go to the movies with your friend. You will go to the movies with your friend.
Your parents let you borrow the car.
Your parents didn't let you borrow the car.
No valid conclusion.
What conclusion can be drawn from the following statements?
If Todd goes to the movies, then Sarah will go to the movies.
If Chris goes to the movies, then Todd will go to the movies.
If Chris goes to the movies, then Sarah will go to the movies.
If Todd goes to the movies, then Chris will go to the movies.
If Sarah goes to the movies, then Chris will go to the movies.
If Todd goes to the movies, then Todd will go to the movies.
Draw a conclusion from the statement.
If Jack goes to school, then it is Monday.
Jack doesn't go to school.
Jack skipped school.
It isn't Monday.
It's Saturday.
No valid conclusion.
If it is snowing heavily, then school will be canceled.
If school is canceled, the big test will not be given today.
It is snowing heavily, then...
Given: If an animal is a dog, then they like biscuits.
Sammy is a dog.
Conclusion: Sammy likes biscuits.
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.
If you are at least 25 year old, then you can rent a car.
You can rent a car
Statement 1: If I study for one hour each day, then I will score well on the exam
Statement 2: I will score well on the exam
Given: If a point is the midpoint of a segment, then it divides the segment into two congruent segments.
R is the midpoint of QS.
Conclusion: QR=RS
If you go fishing, then you will need to bring your fishing rod.
You go fishing.
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
If the sun is shining it is a beautiful day. If it is a beautiful day then we will go go hiking.
If the sun is not shining, we will not go hiking.
If the sun is shining then we will go hiking.
No conclusion can be made.
If we go hiking, then it is a beautiful day.
If you go to the swimming pool, then you will enjoy yourself. If you enjoy yourself, you will want to return.
If you return to the pool you will enjoy yourself.
If you enjoy yourself, then you went to the pool.
If you go to the pool, you will want to return.
No conclusion can be made.
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
∠A is 40⁰.
Using the Law of Detachment, what is the logical statement to conclude?
If Jack goes to school, then it is Monday.
Jack doesn't go to school.
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
If it is snowing heavily, then school will be canceled.
If school is canceled, the big test will not be given today.
It is snowing heavily, then...
If a quadrilateral is a rhombus, then it is a parallelogram.
If a quadrilateral is a parallelogram, then its opposite angles are congruent.
q→r
∴p→r
Which law is modeled?
p
∴q
Which law is modeled?
If a number is divisible by 10, then it is divisible by 2. If a number is divisible by 2, then it is even.
If the perimeter of a square is 20 ft, then the length of a side is 5 ft.
If the length of a side of a square is 5 ft, then the area is 25 ft2.
Write the if-then statement that follows from the pair of true statements.If chris goes to the movies, then Todd will go to the movies. If Todd goes to the movies, then Sarah will go to the movies.
If Chris goes to the movies, then Sarah will go to the movies.
