Midpoint of segment

Point A has coordinates [-16; 23] and the midpoint of the segment AB is the point [2; 12]. What are the coordinates of point B?

Correct answer:

x =  20
y =  1

Step-by-step explanation:

M=A+B2 2M=A+B B=2MA  x=22(16)=20
y=21223=1



Did you find an error or inaccuracy? Feel free to write us. Thank you!



avatar




Tips to related online calculators
Line slope calculator is helpful for basic calculations in analytic geometry. The coordinates of two points in the plane calculate slope, normal and parametric line equation(s), slope, directional angle, direction vector, the length of the segment, intersections of the coordinate axes, etc.

You need to know the following knowledge to solve this word math problem:

Related math problems and questions:

  • Coordinates of midpoint
    linear_eq If the midpoint of the segment is (6,3) and the other end is (8,4) what are the coordinate of the other end?
  • Perpendicular
    slopeplane What is the slope of the perpendicular bisector of line segment AB if A[9,9] and B[9,-2]?
  • Points on line segment
    segment Points P & Q belong to segment AB. If AB=a, AP = 2PQ = 2QB, find the distance: between point A and the midpoint of the segment QB.
  • Midpoint 4
    segment If the midpoint of a segment is (6,3) and the other end point is (8,-4) what are thw coordinate of the other end?
  • Coordinates hexagon
    hexagon The regular hexagon ABCDEF is given. Point A has coordinates [1; 3], and point D has coordinates [4; 7]. Calculate the sum of the coordinates of the center of its described circle.
  • Line segment
    line-segment For the line segment whose endpoints are L[-1, 13] and M[18, 2], find the x and y value for the point located 4 over 7 the distance from L to M.
  • Speed of Slovakian trains
    zssk_train Rudolf decided to take the train from the station 'Ostratice' to 'Horné Ozorovce'. In the train timetables found train Os 5409 : km 0 Chynorany 15:17 5 Ostratice 15:23 15:23 8 Rybany 15:27 15:27 10 Dolné Naštice 15:31 15:31 14 Bánovce nad Bebravou 15:35 1
  • Medians in triangle
    stredne_pricky Median of isosceles triangle has a length 3 cm. Determine the length of its sides if its perimeter is 16 cm.
  • Find the 3
    segment Find the distance and midpoint between A(1,2) and B(5,5).
  • Vector - basic operations
    vectors There are given points A [-9; -2] B [2; 16] C [16; -2] and D [12; 18] a. Determine the coordinates of the vectors u=AB v=CD s=DB b. Calculate the sum of the vectors u + v c. Calculate difference of vectors u-v d. Determine the coordinates of the vector w
  • Slope
    lines Calculate the slope of a line that intersects points (-84,41) and (-76,-32).
  • Line segment
    lines_parallel_crossing Line segment AB is 8 cm long. Divide it in a ratio of 2: 3.
  • Coordinates of vector
    vectors Determine the coordinate of a vector u=CD if C(19;-7) and D(-16;-5)
  • Midpoint 6
    segment FM=8a+1, FG=42, a=? Point M is the midpoint of FG. Find unknown a.
  • Slope form
    lines Find the equation of a line given the point X(8, 1) and slope -2.8. Arrange your answer in the form y = ax + b, where a, b are the constants.
  • Acreage
    parcela What acreage has a rectangular plot whose diagonal is 34 meters long and one side has a length of 16 meters. ...
  • XY triangle
    triangle Determine the area of a triangle given by line 7x+8y-69=0 and coordinate axes x and y.