Properties of Equality & Congruence

AB + BC = AC is justified by which of the following reasons:

• Angle Addition Postulate

• Segment Addition Postulate

• Addition

• Subtraction

Name the reason that justifies the following statement:

If B is the midpoint of AC, then AB ≅ BC.

• Definition of Congruent Segments

• Converse of Definition of Congruent Segments

• Definition of a Midpoint

• Converse of the Definition of a Midpoint

Tags

CCSS.HSG.CO.C.10

Name the property described:

If a=b, then 8a=8b.

• Multiplication Property of Equality

• Division Property of Equality

• Reflexive Property of Equality

• Addition Property of Equality

Given the information shown, you can conclude that AB = CD by:

• Definition of Congruency

• Definition of a Midpoint

• Substitution Property

• Definition of Congruent Segments

Tags

CCSS.HSG.SRT.B.5

Name the property of equality that the statement illustrates.

If d = f, then d +e = f + e

• Substitution

• Subtraction

• Addition

• Reflexive

Name the reason that justifies the statement:

If JT ≅ TG, then T is the midpoint of JG.

• Definition of a Midpoint

• Converse of the Definition of a Midpoint

• Definition of Congruent Segments

• Converse of the Definition of Congruent Segments

Tags

CCSS.HSG.CO.B.7

• Multiplication Property of Equality

• Segment Addition Postulate

• Definition of Midpoint

• Symmetric Property of Congruence

Tags

CCSS.HSG.SRT.B.5

Choose the property that is illustrated by

 $\angle Q\cong\angle Q$  

• Reflexive Property of Equality

• Symmetric Property of Equality

• Symmetric Property of Congruence

• Reflexive Property of Congruence

Tags

CCSS.HSG.SRT.B.5

Choose the property that is illustrated by

 $m\angle B=90$  
 $m\angle A+m\angle B=100$  
 $m\angle A+90=100$  

• Angle Addition Postulate
  

• Addition Property of Equality

• Substitution

• Subtraction Property of Equality 

Tags

CCSS.7.G.B.5

What is the justification?

• Definition of Vertical Angles

• Vertical Angles Theorem

• Definition of Supplementary Angles

• Linear Pair Theorem

Tags

CCSS.7.G.B.5