If k = 3, then 3 = k.
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1 point
Addition Property of Equality
Subtraction Property of Equality
Multiplication Property of Equality
Division Property of Equality
Distributive Property
Substitution Property
Reflexive Property
Symmetric Property
Transitive Property
Substitution Property
The correct answer for this question is:
Substitution Property
To determine which property of equality is being used in the statement "If k = 3, then 3 = k," we need to understand the properties and compare them to the given statement.
1) Addition Property of Equality: This property states that if a = b, then a + c = b + c. It is used when adding the same value to both sides of an equation.
2) Subtraction Property of Equality: This property states that if a = b, then a - c = b - c. It is used when subtracting the same value from both sides of an equation.
3) Multiplication Property of Equality: This property states that if a = b, then a * c = b * c. It is used when multiplying both sides of an equation by the same value.
4) Division Property of Equality: This property states that if a = b, then a / c = b / c (with the condition that c is not equal to 0). It is used when dividing both sides of an equation by the same non-zero value.
5) Distributive Property: This property states that a * (b + c) = a * b + a * c. It is used when distributing or factoring out a common factor from an equation.
6) Substitution Property: This property states that if a = b, then 'a' can be replaced by 'b' or vice versa in any equation or expression.
7) Reflexive Property: This property states that a = a. It is simply the fact that any value is equal to itself.
8) Symmetric Property: This property states that if a = b, then b = a. It highlights the ability to reverse the order of the values in an equation.
9) Transitive Property: This property states that if a = b and b = c, then a = c. It shows the relationship between multiple equations.
In the given statement, "If k = 3, then 3 = k," we observe that it is a simple equality statement where k is being equated with 3. This corresponds to the Reflexive Property, which states that a value is equal to itself. Therefore, the correct answer is the Reflexive Property.