Properties and Postulates in Proofs...

Name the property of the statement below:

 $5=5$  

• Substitution Property of Equality

• Reflexive Property of Equality

• Symmetric Property of Equality

• Transitive Property of Equality

Justify the second statement with the property used on the first statement:

 $-7\left(x-4\right)=10$  
 $-7x+28=10$  

• Addition Property of Equality

• Multiplication Property of Equality

• Division Property of Equality

• Distributive Property

Tags

CCSS.HSA.REI.B.3

CCSS.HSA.REI.A.1

Identify the property that would solve this equation:

 $7+x=24$  

• Addition Property of Equality

• Subtraction Property of Equality

• Multiplication Property of Equality

• Division Property of Equality

Tags

CCSS.6.EE.B.7

Justify the second statement with the property used on the first statement:

 $\frac{y}{2}=-10$  

 $y=-20$  

• Addition Property of Equality

• Subtraction Property of Equality

• Multiplication Property of Equality

• Division Property of Equality

Tags

CCSS.3.MD.A.2

Identify the property that illustrates the statement below:

If  $BC=XY$  and  $XY=10$ , then  $BC=10$ . 

• Transitive Property of Equality

• Substitution Property of Equality

• Reflexive Property of Congruence

• Symmetric Property of Equality

Tags

CCSS.7.EE.A.1

Name the Postulate or Definition that best illustrates the Conditional Statement below:

If  $\angle A$  and  $\angle B$  are __________, then
 $m\angle A+m\angle B=90\degree$ .

• Supplementary Angles

• Adjacent Angles

• Right Angles

• Complementary Angles

Tags

CCSS.7.G.B.5

Complete the statement using the Symmetric Property:

If  $KL=RT$ , then __________.

•  $RT=KL$  

•  $KL=KL$  

•  $4KL=4RT$  

•  $KL+C=RT+C$  

Name the Postulate or Definition that best illustrates the statement below:

 $m\angle ADB+m\angle BDC=m\angle ADC$  

• Segment Addition Postulate

• Angle Addition Postulate

• Definition of Angle Bisector

• Definition of Congruent Angles

Tags

CCSS.8.G.A.5

Name the Postulate or Definition that best illustrates the Conditional Statement below:

If  $\angle1$  and  $\angle2$  are __________,
then  $m\angle1+m\angle2=180\degree$ .

• Supplementary Angles

• Vertical Angles

• Linear Pairs

• Complementary Angles

Tags

CCSS.7.G.B.5

Name the Postulate or Definition that best illustrates the statement below:
If  $O$  is between  $FX$ , then  $FO+OX=FX$ .

• Segment Addition Postulate

• Angle Addition Postulate

• Definition of Congruent Segments

• Vertical Angles Theorem