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Which property of equality is shown below?\newlineIf: f  54 = gf  -  54 = g\newlineThen: f54h = gh\frac{f - 54}{h} = \frac{g}{h}\newlineChoices:\newline(A) Addition Property of Equality\newline(B) Subtraction Property of Equality\newline(C) Multiplication Property of Equality\newline(D) Division Property of Equality

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Q. Which property of equality is shown below?\newlineIf: f  54 = gf  -  54 = g\newlineThen: f54h = gh\frac{f - 54}{h} = \frac{g}{h}\newlineChoices:\newline(A) Addition Property of Equality\newline(B) Subtraction Property of Equality\newline(C) Multiplication Property of Equality\newline(D) Division Property of Equality
  1. Analyze Given Expressions: Analyze the given expressions.\newlineThe original equation is f54=gf - 54 = g.\newlineThe transformed equation is f54h=gh\frac{f - 54}{h} = \frac{g}{h}.\newlineIdentify the operation performed on both sides of the original equation.
  2. Determine Transformation Operation: Determine the operation used to transform the equation.\newlineThe operation used is division by hh on both sides of the equation.\newlinef54=gf - 54 = g becomes (f54)/h=g/h(f - 54)/h = g/h when both sides are divided by hh.
  3. Identify Property of Equality: Identify the property of equality.\newlineSince division is applied to both sides of the equation to maintain equality, the property used is the Division Property of Equality.

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