What property would I use to solve this equation? 7 + x = 14

Subtraction Property of Equality

Multiplication Property of Equality

Substitution Property of Equality

What are the main parts of a proof?

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

The statements and the reasons.

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

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

Reflexive Property of Equality

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

Substitution Property

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

Reflexive Property of Congruence

If ∠A≅∠B, then ∠B≅∠A.

If ∠A≅∠B and ∠B≅∠C, then ∠A≅∠C.

Symmetric Property of Congruence

If ∠A≅∠B, then ∠B≅∠A.

If ∠A≅∠B and ∠B≅∠C, then ∠A≅∠C.

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

Subtraction Property of Equality

If y/4 = 5, then y = 20

Multiplication Property of Equality

Subtraction Property of Equality

If m ∠ A = m ∠ X , m\angle A=m\angle X,\ m ∠ A = m ∠ X , then m ∠ X = m ∠ A m\angle X\ =\ m\angle A m ∠ X = m ∠ A

Transitive Property of Equality

m ∠ P Q R = m ∠ P Q R m\angle PQR\ =\ m\angle PQR m ∠ P Q R = m ∠ P Q R

Substitution Property of Equality

Transitive Property of Equality

Name the property that justifies the statement: I f t h e m ∠ B = 12 , t h e n 4 m ∠ B = 48 If\ the\ m\angle B\ =\ 12,\ then\ 4m\angle B\ =\ 48 I f t h e m ∠ B = 1 2 , t h e n 4 m ∠ B = 4 8

Multiplication Property of Equality

Transitive Property of Equality

Name the property that justifies the statement: I f 15 x = 30 , t h e n x = 2 If\ 15x\ =\ 30,\ then\ x\ =\ 2 I f 1 5 x = 3 0 , t h e n x = 2

Multiplication Property of Equality

Subtraction Property of Equality

Name the property that justifies the statement: I f 2 x + y = 5 a n d x = y , t h e n 2 x + x = 5. If\ 2x\ +\ y\ =\ 5\ and\ x=y,\ then\ 2x\ +\ x\ =\ 5. I f 2 x + y = 5 a n d x = y , t h e n 2 x + x = 5 .

Substitution Property of Equality

Multiplication Property of Equality

Name the property that justifies the statement: I f X Y − Y Z = 15 , t h e n X Y = 15 + Y Z . If\ XY\ -\ YZ\ =\ 15,\ then\ XY\ =\ 15\ +\ YZ. I f X Y − Y Z = 1 5 , t h e n X Y = 1 5 + Y Z .

Subtraction Property of Equality

Multiplication Property of Equality

Name the property that justifies the statement: I f B i s t h e m i d p o i n t o f A C ‾ , t h e n B A = C B . If\ B\ is\ the\ midpoint\ of\ \overline{AC},\ then\ BA\ =\ CB. I f B i s t h e m i d p o i n t o f A C , t h e n B A = C B .

Reflexive Property of Congrunce

What is the justification?

Substitution Property of Equality

Definition of Supplementary Angles

What is the justification?

Transitive Property of Congruence

What is the justification?

Definition of an Angle Bisector

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

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

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

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

There is no difference between postulates and theorems.

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

A is the segment bisector of BC

Substitution property (simplify)

Multiplication property of equality

Substitution property (simplify)

Subtraction property of equality

Subtraction Property of Equality

Multiplication Property of Equality

Properties, Definitions, Theorems & Postulates oh my

Quiz

•

Mathematics

•

9th - 10th Grade

•

Practice Problem

•

Medium

•

CCSS

HSA.REI.A.1, HSG.CO.C.9, HSG.CO.C.10

+10

Standards-aligned

*Student *

Used 21+ times

FREE Resource

42 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the reason for step #2?

Definition of angle bisector

Definition of congruent angles

Definition of perpendicular angles

Angle Addition Postulate

Tags

CCSS.HSG.CO.C.9

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the reason for step #2?

Definition of congruent segments

Definition of congruent angles

Definition of straight angle

Definition of midpoint

Tags

CCSS.HSG.CO.C.10

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the reason for step #2?

Definition of angle bisector

Definition of congruent angles

Definition of right angle

Definition of perpendicular lines

Tags

CCSS.HSG.CO.C.9

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the reason for step #3?

Definition of congruent segments

Transitive property

Definition of midpoint

Segment Addition Postulate

Tags

CCSS.HSG.SRT.B.5

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the reason for step #1?

Definition of straight angle

Addition property

Angle Addition Postulate

Segment Addition Postulate

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the reason for step #2?

Addition property

Transitive property

Segment Addition Postulate

Multiplication property

7.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

If m∠XUZ = 123° and m∠ZUY = 45°, which definition/postulate explains why m∠XUY = 78°?

Definition of Segment Bisector

Definition of Angle Bisector

Angle Addition Postulate

Segment Addition Postulate

Tags

CCSS.4.MD.C.7

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Properties, Definitions, Theorems & Postulates oh my

42 questions

What is the reason for step #2?

What is the reason for step #2?

What is the reason for step #2?

What is the reason for step #3?

What is the reason for step #1?

What is the reason for step #2?

If m∠XUZ = 123° and m∠ZUY = 45°, which definition/postulate explains why m∠XUY = 78°?

If the ray HK is bisecting ∠GHJ, then what reason would you use to say ∠GHK is congruent to ∠KHJ?

What property would I use to solve this equation?
7 + x = 14

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

Create a free account and access millions of resources

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Properties, Definitions, Theorems & Postulates oh my

42 questions

What is the reason for step #2?

What is the reason for step #2?

What is the reason for step #2?

What is the reason for step #3?

What is the reason for step #1?

What is the reason for step #2?

If m∠XUZ = 123° and m∠ZUY = 45°, which definition/postulate explains why m∠XUY = 78°?

If the ray HK is bisecting ∠GHJ, then what reason would you use to say ∠GHK is congruent to ∠KHJ?

What property would I use to solve this equation?7 + x = 14

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

Create a free account and access millions of resources

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

What property would I use to solve this equation?
7 + x = 14