Geometry

# Midpoint of a Line Segment

Given the line segment $\overline{PQ}$ with $P=(16,9)$ and $Q=(4,3)$, the midpoint of the line segment can be expressed as $(a,b)$. What is the value of $a+b$?

If $M$ is the midpoint of $A=(-9,8)$ and $B=(19,-18),$ what are the coordinates of $M?$

Two points $X$ and $Y$ in the xy plane have coordinates $(12,10)$ and $(26,24)$, respectively. The midpoint of the line segment $XY$ has coordinates $(a,b)$. What is the value of $a+b$?

Find the value of $p$ such that $(-6, 14)$ is the midpoint of the points $(-9, 16)$ and $(-3, p)$.

Given the line segment $\overline{PQ}$ with $P=(12,34)$ and $Q= (32, 14)$, the midpoint of the line segment can be expressed as $(a,b)$. What is the value of $a+b$?

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