QuestionIf $X Y=A B$ , then $X Y-C D=A B-C D$ Choose the property that the statement represents: Distributive Property Symmetric Property of Equality Addition Property of Equality Transitive Property of Equality Subtraction Property of Equality Reflexive Property of Equality

Studdy Solution

STEP 1

1. We are given the equation $XY = AB$ .
2. We need to determine which property of equality or arithmetic is represented by the statement $XY - CD = AB - CD$ .

STEP 2

1. Understand the given equation and the transformation.
2. Identify the property used in the transformation.

STEP 3

We start with the equation $XY = AB$ .

STEP 4

The transformation applied to both sides of the equation is subtracting $CD$ from each side, resulting in $XY - CD = AB - CD$ .

STEP 5

Identify the property used: The property that allows us to subtract the same quantity from both sides of an equation without changing the equality is the Subtraction Property of Equality.
The statement represents the $\boxed{\text{Subtraction Property of Equality}}$ .

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