Mathematical System

Mathematical System

Practice Exercise

Name the property that the statement illustrates

Multiple Choice

 $1.\ m∠DEF=m∠DEF$  

• Reflexive Property of Equality 

• Symmetric Property of Equality 

• Transitive Property of Equality

Multiple Choice

 $2.\ If\ \overline{PQ}\cong\overline{ST},\ then\ \overline{ST}\cong\overline{PQ}$  

• Reflexive Property of Congruence 

• Symmetric Property of Congruence 

• Transitive Property of Congruence

Multiple Choice

 $3.\ \overline{XY}\cong\overline{XY}$  

• Reflexive Property of Congruence 

• Symmetric Property of Congruence 

• Transitive Property of Congruence

Multiple Choice

 $4.\ If\ \angle J\ \cong\ \angle K\ and\ \angle K\ \cong\ \angle L,\ the\ \angle J\ \cong\ \angle L.$  

• Reflexive Property of Congruence 

• Symmetric Property of Congruence 

• Transitive Property of Congruence

Multiple Choice

 $5.\ IfPQ=QR\ and\ QR=RS,\ then\ PQ=RS.$  

• Reflexive Property of Equality 

• Symmetric Property of Equality 

• Transitive Property of Equality

Multiple Choice

 $6.\ If\ m∠X=m∠Y,\ then\ m∠Y=m∠X$  

• Reflexive Property of Equality 

• Symmetric Property of Equality 

• Transitive Property of Equality

Multiple Choice

 $7.\ ∠ABC\cong∠ABC$  

• Reflexive Property of Congruence 

• Symmetric Property of Congruence 

• Transitive Property of Congruence

Multiple Choice

 $8.\ IfAB=CD,\ then\ AB+EF=CD+EF.$  

• Addition Property of Equality 

• Subtraction Property of Equality 

• Multiplication Property of Equality 

• Division Property of Equality

Multiple Choice

 $9.\ IfXY=YZ,\ then\ 3\left(XY\right)=3\left(YZ\right)$  

• Addition Property of Equality 

• Subtraction Property of Equality 

• Multiplication Property of Equality 

• Division Property of Equality

Multiple Choice

 $10.\ If\ m\angle C=90\degree,\ then\ 2(m\angle C)+15\degree=2(90\degree)+15\degree.$  

• Multiplication Property of Equality 

• Division Property of Equality 

• Substitution Property 

• Distributive Property