Properties of Equality and Congruence

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.A.1

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.HSA.REI.A.1

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.4.MD.C.7

What are complementry angles?

• add up to 180 degrees

• add up to 90 degree

• add up to 360 degree

• add up to 232

Tags

CCSS.7.G.B.5

Name the property that describes what happens from line 1 to line 2.

1. m∠A + m∠B = 70° and m∠B=40°

2. m∠A + 40° = 70°

• Substitution Property of Equality

• Transitive Property of Equality

• Definition of Complementary Angles

• Transitive Property of Congruence

Tags

CCSS.7.G.B.5

Name the property that describes what happens from line 1 to line 2.

1. T is the midpoint of JG

2. JT ≅ TG

• Substitution Property of Equality

• Transitive Property of Equality

• Definition of Midpoint

• Definition of Congruence

Tags

CCSS.HSG.CO.C.10

Name the property that describes what happens from line 1 to line 2.

1. ∠H≅∠H

2. m∠H=m∠H.

• Symmetric Property of Congruence

• Reflexive Property of Equality

• Reflexive Property of Congruence

• Definition of Congruent Angles

Name the property that describes what happens from line 1 to line 2.

1. Ray BD bisects ∠ABC

2. ∠ABD≅∠DBC

• Definition of Angle Bisector

• Definition of Congruent Angles

• Definition of Linear Pair

• Angle Addition Postulate

Tags

CCSS.HSG.CO.C.9

Name the property that describes what happens from line 1 to line 2.

∠G ≅ ∠G

• Symmetric Property of Congruence

• Definition of Congruence

• Reflexive Property of Equality

• Reflexive Property of Congruence

Tags

CCSS.HSG.SRT.B.5