Quiz about Reasoning and Proof Study Guide

Question 1

Find HG.

Accepted Answer

9

Answer

8

Answer

10

Answer

11

Question 2

Name the property that allows us to say: a=a?

Accepted Answer

Reflexive

Answer

Symmetric

Answer

Transitive

Question 3

Find AM.

Accepted Answer

37

Answer

3

Answer

74

Answer

30

Question 4

Find the y-coordinate of the midpoint of the line

Accepted Answer

2

Answer

1

Answer

-2

Answer

3

Question 5

What is the midpoint between (3, -1) and (8, -6)

Accepted Answer

(5.5, -3.5)

Answer

(11, -7)

Answer

(-5.5, -3.5)

Answer

(2, -2)

Question 6

Find KL.

Accepted Answer

6

Answer

18

Answer

15

Answer

20

Question 7

Find EF.

Accepted Answer

9

Answer

33

Answer

13

Answer

11

Question 8

Which number is a counterexample to the following statement? :
All numbers that are divisible by 2 are divisible by 4

Accepted Answer

42

Answer

0

Answer

12

Answer

28

Question 9

Complete the conjecture. Think of examples to help.
The product of any two odd numbers is _____________

Accepted Answer

odd

Answer

even

Answer

zero

Answer

positive

Question 10

Where would the next red square be?

Accepted Answer

top left

Answer

bottom left

Answer

top right

Answer

bottom right

Question 11

What comes next?

Accepted Answer

The next term will have 15 blocks.

Answer

The next term will have 16 blocks

Answer

The next term will have 14 blocks.

Answer

This is the end of the pattern.

Question 12

Use inductive reasoning to predict the next three numbers in the pattern.  9, 3, 1, 1/3, 1/9

Accepted Answer

1/27, 1/81, 1/243

Answer

1, 2, 3

Answer

27, 81, 243

Answer

6, 12, 15

Question 13

What is the hypothesis of the following statement: "If Johnny is late to school, then his mom will have to drive him."

Accepted Answer

Johnny is late to school

Answer

His mom will have to drive him

Answer

If Johnny is late to school

Answer

Then his mom will have to drive him

Question 14

Given, "If I have a Siberian Husky, then I have a dog." Identify the conclusion.

Accepted Answer

I have a dog.

Answer

If I have a Siberian Husky.

Answer

I have a Siberian Husky.

Answer

Then I have a dog.

Question 15

What is the converse?
If we are at the park, then we will swing.

Accepted Answer

If we will swing, then we are at the park.

Answer

If we are not at the park, then we will not swing.

Answer

If we will not swing, then we are at the park.

Answer

If we are at the park, then we will  not swing.

Question 16

Given, "If I have a Siberian Husky, then I have a dog." Identify the contrapositive.

Accepted Answer

If I do not have a dog, then I do not have a Siberian Husky.

Answer

If I do not have a Siberian Husky, then I do not have a dog.

Answer

If I have a dog, then I have a Siberian Husky.

Answer

If I do not have a Siberian Husky, then I have a dog.

Question 17

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.

Accepted Answer

Valid

Answer

Invalid

Answer

Sammy is a Great Dane

Answer

Sammy is really a cat.

Question 18

Draw a conclusion from the statement.
If you live in Orlando, then you live in Florida.
You live in Orlando.

Accepted Answer

You live in Florida

Answer

You live in Disney Land

Answer

You are an old person.

Answer

You live in Orlando

Question 19

Draw a conclusion from the statement.
If you go fishing, then you will need to bring your fishing rod.
You go fishing.

Accepted Answer

You will need to bring your fishing rod.

Answer

Invalid

Answer

You are a boring person.

Answer

You are going to catch a fish.

Question 20

Which of the following cannot be assumed from the diagram?

Accepted Answer

Points F, B and G are colinear

Answer

Points A, B, C and E are coplanar

Answer

C.

Answer

Line EC intersects plane M at point C

Question 21

ALWAYS, SOMETIMES or NEVER:

Two planes intersect.

Accepted Answer

Sometimes

Answer

Always

Answer

Never

Question 22

Question 22.

Accepted Answer

False

Answer

True

Question 23

Complete the statement with the symmetric property: If a=b then...

Accepted Answer

b=a

Answer

a=a

Answer

a=c

Answer

b=b

Question 24

A line and a plane intersect at a point

Accepted Answer

sometimes

Answer

always

Answer

never

Answer

On the 3rd Tuesday of the month

Question 25

For any two points, there is a unique line through them

Accepted Answer

always

Answer

sometimes

Answer

never

Question 26

What is reason 1?

Accepted Answer

Given

Answer

Subtraction Property of Equality

Answer

Transitive Property of Equality

Answer

Prove

Question 27

What is reason 3?

Accepted Answer

Addition Property of Equality

Answer

Subtraction Property of Equality

Answer

Multiplication Property of Equality

Answer

Division Property of Equality

Question 28

If 3x + y = 14 and y = 9, then 3x + 9 = 14.

Accepted Answer

Substitution Property of Equality

Answer

Reflexive Property of Equality

Answer

Symmetric Property of Equality

Answer

Transitive Property of Equality

Question 29

Which property justifies the next step?

Accepted Answer

Definition Midpoint

Answer

Symmetric Property

Answer

Segment Addition Postulate

Answer

Definition Congruence

Question 30

Which property justifies the next step?

Accepted Answer

Symmetric Property

Answer

Transitive Property

Answer

Segment Addition Property

Answer

Reflexive Property

Question 31

JK equals LM, then line segment JK is congruent to line segment LM

Accepted Answer

Definition of Congruence

Answer

Definition of midpoint

Answer

Transitive Property

Answer

Symmetric Property

Question 32

If Q is between P and R, then PQ +QR=PR

Accepted Answer

Segment Addition postulate

Answer

Definition of Midpoint

Answer

Addition Property of equality

Answer

Transitive Property

Question 33

What type of angle is shown?

Accepted Answer

obtuse

Answer

acute

Answer

right

Answer

straight

Question 34

Find the value of x.

Accepted Answer

14

Answer

60

Answer

35

Answer

180

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