Geometry

2D Coordinate Geometry

Midpoint of a Line Segment

         

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

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

Two points XX and YY in the xy plane have coordinates (12,10)(12,10) and (26,24)(26,24), respectively. The midpoint of the line segment XYXY has coordinates (a,b)(a,b). What is the value of a+ba+b?

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

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

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