I don't know how to do this proof

It is set up on a T chart

In the figure below PQ = RS

Prove PR=QS

______P________Q_____R________S______

Proof must be set up on a t chart starting with
PQ=RS Given

To prove that PR=QS, we can follow these steps:

Step 1: Write down the given information in the form of equations. In this case, the given information is "PQ = RS". Fill it in the T-chart under the "Given" column:
Given:
PQ = RS

Step 2: Identify any additional information that can be derived from the given information. Since we are trying to prove that PR = QS, we can look for any statements about PR or QS that can be made using the given information. In this case, we can say that "PQ + QR = RS + QR", where QR is equal to both PR and QS. Add this equation to the T-chart:
Given:
PQ = RS
PQ + QR = RS + QR

Step 3: Use properties and theorems of geometry to manipulate the equations. Start by using the fact that PQ = RS to substitute and simplify the second equation:
Given:
PQ = RS
PQ + QR = PQ + QR

Step 4: Simplify the equations further. Notice that we have the same terms on both sides of the second equation. We can cancel them out to get:
Given:
PQ = RS
QR = QR

Step 5: Analyze the simplified equations. We can see that QR = QR, which means that QR is equal to itself. This is a true statement.

Step 6: State the conclusion based on the analysis. Since QR is equal to itself, we can conclude that PR = QS. Write down the conclusion in the T-chart:
Given:
PQ = RS
QR = QR
Conclusion:
PR = QS

Step 7: Review the proof. Read through the T-chart and make sure that each step logically follows from the previous ones. Confirm that the given information is used correctly and that the conclusion is based on valid reasoning.

By following these steps, you should be able to construct a valid proof showing that PR = QS.