High School

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What property justifies the following statements?

1. If [tex]c = d[/tex], then [tex]d = c[/tex].
2. If [tex]JK = LM[/tex], then [tex]LM = JK[/tex].
3. If [tex]e = f[/tex] and [tex]f = g[/tex], then [tex]e = g[/tex].
4. If [tex]m\angle R = m\angle S[/tex], then [tex]m\angle S = m\angle R[/tex].

Answer :

Final answer:

The property that justifies the given statements is the symmetric property of equality.

Explanation:

The property that justifies the given statements is the symmetric property of equality. This property states that if a = b, then b = a. The given statements are all examples of this property:

If c = d, then d = c.

If JK = LM, then LM = JK.

If e = f and f = 8, then e = 8.

If m < R = m < S, then m < S = m < R.

The symmetric property of equality is one of the fundamental properties in mathematics that applies to equality between two quantities. It states that if two quantities are equal, then swapping or interchanging them does not change their equality.

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