Unit 1

100

“If a square is a quadrilateral, then it has 4 sides”. What is the converse of this statement?

If a quadrilateral is a square, then it has 4 sides.
If a square is not quadrilateral, then it has 4 sides.
If a square has 4 sides, then it is a quadrilateral.
A square is a quadrilateral if and only if it has 4 sides. bm

If a square has 4 sides, then it is a quadrilateral.

100

What is the converse of

"If it is night time outside, then I can see the moon"

If I can see the moon, then it is night time.

100

Mark was told to eat 10 pizzas in 2 minutes at an eating contest and he would win a prize.

Mark ate all 10 pizzas in 2 minutes. What can we conclude by deductive reasoning?

Mark won the prize

100

Which of the following is the best definition for a “phone case”?

A piece of plastic
A case
A case that can provide safe support for a cell phone.
A case that protects an android phone

A case that can provide safe support for a cell phone.

100

Write a conditional statement for:

p: It is summer q: it is hot

If it summer, then it is hot

200

Deductive Reasoning deals with statements drawn from-

A. Rumors

B. Logical facts

C. Guesses

D. Assumed observations

B. Logical facts

200

How does the area of a parallelogram relate to that of a triangle if given the same dimensions?

The triangle is 1/2 bh which would be 1/2 of a parallelogram if given the same dimensions.

200

What is the next term in the pattern...

4, 8, 12, 16, 20........

200

In a biconditional statement-

Only the condition is true

Only the conclusion is true

Both parts are false

Both conclusion and conclusion are true

Both condition and conclusion are true

200

What is the next term in the pattern...

5, 10, 15, 20, 25.......

300

Inductive Reasoning is when we-

A. Draw a conclusion based on an obvious logical fact

B. Spread a rumor

C. Draw a conclusion based on an observation or pattern

300

Jessica concludes: "Any even number is divisible by 2. 20 divides by 2. Therefore 20 is an even number"

Deductive reasoning, since Jessica based her conclusion on examples
Inductive reasoning, since Jessica made her conclusion based on logical conclusion.
Deductive reasoning, since Jessica made her conclusion based on a logical conclusion.
Inductive reasoning, since Jessica based her conclusion on examples

Deductive reasoning, since Jessica made her conclusion based on a logical conclusion

300

Jake plays a wrestling video game everyday. He tells his friend he will beat him in a match online because he plays it everyday. Jay is making a-

A. Conditional statement

B. Deductive Reasoning C. Inductive Reasoning

C. Inductive Reasoning

300

Which of the following best shows an example of deductive reasoning?

If your hungry, then you will end up eating a cookie
If the alarm is ringing, then James must have woken up to go to school.
If Richard received a 40 in his test grade, then he failed the exam.
If have your backpack ready, then you must be going to school.

If Richard received a 40 in his test grade, then he failed the exam.

300

Write the converse of:

If you are 18, then you can vote

If you can vote, then you are 18

400

Is the following statement's converse true?

If a figure is a square, then it has 4 sides.

FALSE

Converse:

"If a figure has 4 sides, then it is a square.": This is false as a figure can have 4 sides, but may be a rectangle, rhombus, or even a kite.

400

Mateo teaches his little brother, Isai, to ride a bicycle but tells his little brother he can't be on one yet until he gets his own bike. Isai finally gets a bike a few weeks later.

a)What can we conclude about Isai?

b) Is this inductive or deductive?

He can now ride his own bike

Deductive

400

Jennifer concludes that her new dog will be good at playing fetch since her last dog was phenomenal at it.

Is this deductive or inductive?

Inductive

400

If a figure is closed, then it is a polygon.

Is this biconditional?

False. Some figures are closed but may have intersections, thus no longer considered a polygon

400

In a baseball game, Gloria, a lady who was selling cheetos, mentioned every person would pay $5 to enter the game. Martin wants to go to the game. Marting buys the ticker for $5. Therefore, Marting can attend.

Is this an example of inductive or deductive reasoning?

Deductive

500

Which statement below best represents a biconditional statement?

If you live in Dallas, then you live in Texas.
If 2 angles are congruent, then they have the same measure.
If James is hungry, then he ate at home.
If an angle is 130 degrees, then it is obtuse.

If 2 angles are congruent, then they have the same measure.

500

Give a counterexample for: "If each student has a tag, they are able to enter the park".

A. Jay is 10 years old and therefore can enter the park

B. Fabian does not have a tag. Therefore, he may not enter park

C. Fabian has a tag. Therefore, he may enter the park.

D. Jay and Fabian do not like parks so they will not be attending the park.

Fabian does not have a tag. Therefore, he may not enter park.

500

Which of the following is an example of deductive reasoning?

A. Most students that competed at the state choral competiton end up becoming singers. Oscar was in the choral competition. Therefore, he will become a singer.

B. 90% of people that graduated from medical school become doctors. Macy graduated from medical school, so he will become a doctor.

C. All students that volunteered in the pep rally have been invited to eat pizza at Ms. Ham's class. Zeke volunteered in the pep rally. Therefore, he may go have pizza.

It is based on logical reasoning

500

Is this a biconditional statement?

If you are eating ice cream, then you are eating something cold.

The converse is false, because it could be a frozen snickers or other bar. You may be eating ice as well.

500

Ana makes a conjecture that when she studies for at least one hour the night before a test, she earns at least a B. Which of the following facts would disprove her conjecture?

A. Ana studied for 20 minutes the night before the test and got an F.

B. Ana studied for 30 minutes the night before a test and got a F.

C. Ana studied for 60 minutes the night before a test and got a A.

D. Ana studied for 75 minutes the night before a test and got a C.