Question

If a point is the midpoint of a segment, then it divides the segment into two congruent segments. R is the midpoint of QS. Conclusion: QR = RS

Answer 1

Answer:

All given information leads to conclusion described on statement. ($QR = RS$)

Step-by-step explanation:

The strategy of problem consist in make a mathematical demonstration from given information. There are two assumptions: i) $R$ is a point of segment $QS$ and ii) $R$ is the midpoint of $QS$. We proceed to perform the demonstration:

1) $R\in QS$, $R$ is the midpoint of $QS$. Given.

2) $Q - R = R -S$ Definition of midpoint.

3) $QR = RS$ Definition of segment/Result.

All given information leads to conclusion described on statement. ($QR = RS$)