Does congruence of triangles have the reflexive property? the symmetric property? the transitive property?

hexacordoK 2021-01-10 Answered
Does congruence of triangles have the reflexive property? the symmetric property? the transitive property?
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jlo2niT
Answered 2021-01-11 Author has 96 answers

Step1
Given:
The congruence of triangles.
Step 2
To identify whether the congruence of triangles have the reflexive property, the symmetric property, and the transitive property.
i) The reflexive property of a triangle:
Consider, DEF
image
DEF=DEF.
Hence, the congruence of triangle have the reflexive property.
Step 3
ii) The symmetric property of a triangle:
Consider, DEFandPQR
image
For, DEF=PQRthenPQR=DEF.
Hence, the congruence of triangle have the symmetric property.
Step 4
iii) The transitive property of a triangle:
Consider, DEFandPQR
image
For, DEF=PQRandPQR=XYZthenDEF=XYZ.
Hence, the congruence of triangle have the transitive property.

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