Reasoning Practice

Choose the correct conclusion AND reason based on the given information:

• $\angle1\cong\angle2$
  

• $m\angle1\ +\ m\angle2\ =\ 90$
  

• $m\angle1\ +\ m\angle2=\ 180$
  

• Vertical Angle Theorem

• Definition of Congruent Angles

Tags

CCSS.7.G.B.5

Choose the correct conclusion AND reason based on the given information:

 $\angle W$  and  $\angle R$  are right angles.

•  $\angle W\cong\angle R$ 
  

•  $m\angle W\ +\ m\angle R\ =\ 90$ 
  

• All right angles are congruent.

• definition of supplementary angles

Tags

CCSS.7.G.B.5

Choose the correct conclusion AND reason based on the given information:

 $\angle1\ \cong\angle2$  and  $\angle2\cong\angle3$ 

•  $\angle1\cong\angle3$ 
  

•  $m\angle1\ +\ m\angle2\ =\ m\angle3$ 
  

• Reflexive Property of Conguence

• Transitive Property of Congruence

Tags

CCSS.8.G.A.2

Name the property of equality the statement illustrates.

 $If\ m\angle A=29\degree\ AND\ m\angle B=29\degree,\ then\ m\angle A=m\angle B$  

• Reflexive Property

• Symmetric Property

• Substitution Property

Tags

CCSS.HSG.SRT.B.5

 $If\ m\angle1=m\angle2,\ then:$  

Use the symmetric property to complete the statement:

•  $m\angle1=m\angle2$  

•  $m\angle2=m\angle1$  

•  $m\angle1+m\angle2=m\angle3$  

 $\angle1\ \cong\ \angle4$  
Choose the reason that makes this true.

• Alternate Interior Angle Theorem

• Alternate Exterior Angle Theorem

• Vertical Angle Theorm

• Definition of Linear Pairs

• Corresponding Angle Theorem

Tags

CCSS.8.G.A.5

 $\angle1\ \cong\ \angle5$  
Choose the reason that makes this true.

• Alternate Interior Angle Theorem

• Alternate Exterior Angle Theorem

• Vertical Angle Theorm

• Definition of Linear Pairs

• Corresponding Angle Theorem

Tags

CCSS.8.G.A.5

 $\angle3\ \cong\ \angle6$  
Choose the reason that makes this true.

• Alternate Interior Angle Theorem

• Alternate Exterior Angle Theorem

• Vertical Angle Theorm

• Definition of Linear Pairs

• Corresponding Angle Theorem

Tags

CCSS.8.G.A.5

 $\angle2\ \cong\ \angle7$  
Choose the reason that makes this true.

• Alternate Interior Angle Theorem

• Alternate Exterior Angle Theorem

• Vertical Angle Theorm

• Definition of Linear Pairs

• Corresponding Angle Theorem

Tags

CCSS.8.G.A.5

 $\angle8\ \cong\ \angle1$  
Choose the reason that makes this true.

• Alternate Interior Angle Theorem

• Alternate Exterior Angle Theorem

• Vertical Angle Theorm

• Definition of Linear Pairs

• Corresponding Angle Theorem

Tags

CCSS.8.G.A.5