Middle School

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Which statement listed below illustrates the reflexive property of congruence

for triangles?

O

A. If KLM = PQR and PQR= STU, then KLM = STU.


B. If KLM= PQR, then PQR=

STU.


C. If KLM= PQR, then PQR = KLM


O D. KLM = KLM

Which statement listed below illustrates the reflexive property of congruence for triangles O A If KLM PQR and PQR STU then KLM STU B If

Answer :

The statement that illustrates the reflexive property of congruence for triangles is:

D. KLM congruent KLM.

The reflexive property of congruence states that any geometric figure is congruent to itself. In this case, triangle KLM is congruent to triangle KLM because it's the same triangle. This principle holds true for any shape; the identity of an object implies congruence with itself. Options A, B, and C involve different triangles and do not reflect the reflexive property. Option A involves transitive property, and options B and C involve the symmetric property. The reflexive property is a fundamental concept in geometry, ensuring that an object is always congruent to itself. Therefore, D is the correct statement illustrating the reflexive property of congruence.

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