To determine which property is illustrated, we need more context or specific examples of geometric statements or equations. Here’s a brief overview of each property:
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Associative Property of Angles: This property refers to the way in which angles can be grouped in equations. For example, if you have three angles A, B, and C, the sum can be written as (A + B) + C = A + (B + C).
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Symmetric Property of Congruence: This property states that if one geometric figure is congruent to another, then the second is congruent to the first. For example, if triangle ABC is congruent to triangle DEF, then triangle DEF is also congruent to triangle ABC.
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Reflexive Property of Congruence: This property states that any geometric figure is congruent to itself. For example, triangle ABC is congruent to triangle ABC.
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Transitive Property of Congruence: This property states that if one figure is congruent to a second, and that second figure is congruent to a third, then the first figure is congruent to the third. For example, if triangle ABC is congruent to triangle DEF, and triangle DEF is congruent to triangle GHI, then triangle ABC is congruent to triangle GHI.
If you can provide a specific statement or example, I could help you identify which property is being illustrated.