Properties of congruence
The properties on congruence are the reflexive property, the symmetric property, and the transitive property.
∠A ≅ ∠A
, then CD
If ∠A ≅ ∠B , then ∠B ≅ ∠A
, then AB
If ∠A ≅ ∠B and ∠B ≅ ∠C, then
∠A ≅ ∠C
Naming the property of congruence that justifies each statement.
, then ZW
This is the symmetric property of congruence.
∠RTS ≅ ∠RTS This is the reflexive property of congruence.
, then GF
This is the reflexive property of congruence.
A little exercise!
Try to complete each statement using the given property
Reflexive property of congruence
∠UGD ≅ ?
Symmetric property of congruence
, then ? ≅ ?
Transitive property of congruence
If ∠S ≅ ∠T and ∠ ? ≅ ∠U, then
∠ ? ≅ ∠ ?
Nov 09, 18 09:40 AM
Learn the three properties of congruence. Examples to illustrate which property.
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