Question: From this given statement select the definition , property postulate or theorem that justifies the proof statement. Given: $FG=KL$ and $QP=ST$ prove: $FG-QP=KL-ST$
1. **State the problem:**
Given that $FG=KL$ and $QP=ST$, prove that $FG - QP = KL - ST$.
2. **Identify the property used:**
The property that allows us to subtract equal quantities from equal quantities and maintain equality is the **Subtraction Property of Equality**.
3. **Explain the property:**
The Subtraction Property of Equality states that if $a = b$ and $c = d$, then $a - c = b - d$.
4. **Apply the property to the given:**
Since $FG = KL$ and $QP = ST$, by the Subtraction Property of Equality, we have:
$$FG - QP = KL - ST$$
5. **Conclusion:**
Therefore, the statement $FG - QP = KL - ST$ is justified by the Subtraction Property of Equality.