Properties of Equality Geometry

The transitive property means if a = b and b = c, then a = c.

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The reflexive property means that for all a, a = a.

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The symmetric property means that if a = b then b = a.

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Name the property of equality or congruence that justifies going from the first statement to the second statement.

• Reflexive Property of Congruence

• Symmetric Property of Congruence

• Distributive Property

• Transitive Property of Congruence

Complete the following proof with valid reasons:

b

c

d

e

f

Subtraction POE

Division POE

Reflexive Propertry

Prove

Combine like terms

Addition POE

Given

Symmetric Propertry

Multiplication POE

The Symmetric Property says that if AB = BC, then _________

• AB = BC

• BC = AB

• BC = CD

• A = B

Name the property described:
If MN = OP and OP = QR, then MN = QR

• Reflexive

• Symmetric

• Transitive

• Addition

Name the property.
<A≅<A

• Transitive Property of Congruence

• Symmetric Property of Equality

• Reflexive Property of Congruence

• Symmetric Property of Congruence

Q. Name the property described:

m∠1=m∠1

• Reflexive

• Symmetric

• Transitive

• Addition

Name the property described:

If PQ = RS then RS = PQ

• Reflexive

• Symmetric

• Transitive

• Addition