Quiz about Properties, Definitions, Theorems & Postulates oh my

Question 1

What is the reason for step #2?

Accepted Answer

Definition of angle bisector

Answer

Definition of congruent angles

Answer

Definition of perpendicular angles

Answer

Angle Addition Postulate

Question 2

What is the reason for step #2?

Accepted Answer

Definition of midpoint

Answer

Definition of congruent segments

Answer

Definition of congruent angles

Answer

Definition of straight angle

Question 3

What is the reason for step #2?

Accepted Answer

Definition of angle bisector

Answer

Definition of congruent angles

Answer

Definition of right angle

Answer

Definition of perpendicular lines

Question 4

What is the reason for step #3?

Accepted Answer

Transitive property

Answer

Definition of congruent segments

Answer

Definition of midpoint

Answer

Segment Addition Postulate

Question 5

What is the reason for step #1?

Accepted Answer

Segment Addition Postulate

Answer

Definition of straight angle

Answer

Addition property

Answer

Angle Addition Postulate

Question 6

What is the reason for step #2?

Accepted Answer

Addition property

Answer

Transitive property

Answer

Segment Addition Postulate

Answer

Multiplication property

Question 7

What property would I use to solve this equation?

7 + x = 14

Accepted Answer

Subtraction Property of Equality

Answer

Multiplication Property of Equality

Answer

Division Property of Equality

Answer

Substitution Property of Equality

Question 8

Complete the statement with the transitive property: If a=b and b=c then...

Accepted Answer

a=c

Answer

b=a

Answer

c=b

Answer

a=d

Question 9

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 10

a(b+c) = ab + ac is an example of...

Accepted Answer

distributive property

Answer

transitive property

Answer

substitution property

Answer

symmetric property

Question 11

If 3x+y=27 and y=12, 3x+12=27 is an example of...

Accepted Answer

substitution property

Answer

addition property

Answer

subtraction property

Answer

transitive property

Question 12

What does a proof almost always start with?

Accepted Answer

Given Statement(s)

Answer

Theorems

Answer

Postulates

Answer

Reasons

Question 13

What property states that something is congruent to itself?

Accepted Answer

Reflexive Property

Answer

Symmetry Property

Answer

Congruence Property

Question 14

What are the main parts of a proof?

Accepted Answer

The given statement(s), the prove statement, the statement column, the reason column, and a diagram

Answer

The statements and the reasons.

Answer

The given statements(s), the proposition, and the theorems.

Answer

The diagram (if one is given), the statements, and the reasons.

Question 15

Reflexive Property of Equality

Accepted Answer

a=a

Answer

If a=b, then (a) can be substituted for (b) in any equation or expression.

Answer

If a=b and b=c, then a=c.

Answer

If a=b, then b=a.

Question 16

Substitution Property

Accepted Answer

If a=b, then (a) can be substituted for (b) in any equation or expression.

Answer

If a=b and b=c, then a=c.

Answer

a=a

Answer

If a=b, then b=a.

Question 17

If 2x - 5 = 10, then 2x = 15.

Accepted Answer

Addition Property of Equality

Answer

Subtraction Property of Equality

Answer

Division Property of Equality

Answer

Substitution

Question 18

If y/4 = 5, then y = 20

Accepted Answer

Multiplication Property of Equality

Answer

Division Property of Equality

Answer

Addition Property of Equality

Answer

Subtraction Property of Equality

Question 19

If a = b, then a may be replaced by b in any expression.

Accepted Answer

Substitution Property

Answer

Transitive Property

Answer

Reflexive Property

Answer

Symmetric Property

Question 20

Name the property that justifies the statement: $If\ 15x\ =\ 30,\ then\ x\ =\ 2$

Accepted Answer

Division Property of Equality

Answer

Multiplication Property of Equality

Answer

Addition Property of Equality

Answer

Subtraction Property of Equality

Question 21

Name the property that justifies the statement: $If\ 15x\ =\ 30,\ then\ x\ =\ 2$

Accepted Answer

Substitution Property of Equality

Answer

Multiplication Property of Equality

Answer

Addition Property of Equality

Answer

Division Property of Equality

Question 22

Name the property that justifies the statement: $If\ 15x\ =\ 30,\ then\ x\ =\ 2$

Accepted Answer

Segment Addition Postulate

Answer

Definition of Segment Bisector

Answer

Linear Pair Postualte

Answer

Definition of Midpoint

Question 23

What is the justification?

Accepted Answer

Substitution Property of Equality

Answer

Definition of Supplementary Angles

Answer

Angle Addtion Postulate

Answer

Addition Property of Equality

Question 24

What is the justification?

Accepted Answer

Definition of Midpoint

Answer

Definition of Congruence

Answer

Segment Addition Postulate

Answer

Transitive Property of Congruence

Question 25

What is the justification?

Accepted Answer

Angle Addition Postulate

Answer

Angle Bisector Definition

Answer

Addition Property of Equality

Answer

Supplement Theorem

Question 26

What is the justification?

Accepted Answer

Definition of an Angle Bisector

Answer

Complementary Angles Theorem

Answer

Definition of a Right Angle

Answer

Angle Addition Postulate

Question 27

In a geometric system, which would best describe how postulates differ from theorems?

Accepted Answer

Postulates do not require a proof and are presumed true, while theorems are statements requiring proof.

Answer

Postulates are statements that require proof, while theorems cannot be proven.

Answer

Both postulates and theorems do not require proof and are assumed to be true.

Answer

There is no difference between postulates and theorems.

Question 28

Given: B is the midpoint of AC. What should you conclude?

Accepted Answer

AB = BC

Answer

AB + BC = AC

Answer

A is the segment bisector of BC

Answer

ABC is a straight angle

Question 29

Step 2 is what

Accepted Answer

Distributive Property

Answer

Substitution property (simplify)

Answer

Multiplication property of equality

Answer

Division property of equality

Question 30

What is step 4

Accepted Answer

Addition property of equality

Answer

Substitution property (simplify)

Answer

Subtraction property of equality

Question 31

What is step 6

Accepted Answer

Division property of equality

Answer

Subtraction property of equality

Answer

Addition property of equality

Question 32

What is reason 2?

Accepted Answer

Subtraction Property of Equality

Answer

Addition Property of Equality

Answer

Multiplication Property of Equality

Answer

Division Property of Equality

Properties, Definitions, Theorems & Postulates oh my

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