Question

what is rs? rs =

Explanation:

Step1: Use the property of perpendicular bisector

Since the line is a perpendicular bisector of $SQ$, we know that $RS = RQ$ (a point on the perpendicular bisector of a line - segment is equidistant from the endpoints of the line - segment).

Step2: Set up an equation

Set $2p=p + 2$.
Solve for $p$:
Subtract $p$ from both sides of the equation $2p=p + 2$, we get $2p-p=p + 2-p$, so $p = 2$.

Step3: Find the length of $RS$

Substitute $p = 2$ into the expression for $RS$ (which is $2p$).
$RS=2p$, and when $p = 2$, $RS=2\times2=4$.

Answer:

4