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Which statement listed below illustrates the reflexive property of congruence for triangles?

A. If \(\triangle KLM = \triangle PQR\) and \(\triangle PQR = \triangle STU\), then \(\triangle KLM = \triangle STU\).
B. \(\triangle KLM = \triangle KLM\).
C. If \(\triangle KLM = \triangle PQR\), then \(\triangle PQR = \triangle STU\).
D. If \(\triangle KLM = \triangle PQR\), then \(\triangle PQR = \triangle KLM\).

Answer :

Final answer:

The reflexive property of congruence states that every triangle is congruent to itself. In the given options, option b) AKLME AKLM represents this property, presuming a typo where it should be written as 'AKLME = AKLM'. This property ensures that each part of a triangle is identical to its corresponding part in the original triangle. Thus (option b) is right answer.

Explanation:

The reflexive property of congruence in the context of triangles refers to the fact that every triangle is congruent to itself. This property can be represented as if ΔABC, then ΔABC is congruent to ΔABC.

In the options provided, option b) AKLME AKLM best represents the reflexive property as it suggests that triangle AKLME is congruent to itself (though make sure that it supposed to be 'AKLME = AKLM' for correct mathematical representation).

Using this property, we know that each part of the triangle will be identical to its corresponding part in the original triangle.

Learn more about Reflexive Property of Congruence here:

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