Question

r is the mid - point of $overline{ps}$. q is the mid - point of $overline{pr}$. $qr = 1$. what is the length of $overline{ps}$? skill code: 1604003

Explanation:

Step1: Analyze the mid - point relationships

Since Q is the mid - point of $\overline{PR}$, then $PR = 2QR$. Given $QR = 1$, so $PR=2\times1 = 2$.

Step2: Use the mid - point relationship for $\overline{PS}$

Since R is the mid - point of $\overline{PS}$, then $PS = 2PR$. Substituting $PR = 2$ into the equation, we get $PS=2\times2=4$.

Answer:

4