Question

A(-3;8),B(-11;-4),H-середина отрезка AB.Найдите координаты точки H

Answer 1

А(-3;8)

В(-11;-4)

Н(х;у)

Х=(-11+(-3))÷2

Х=-14÷2=-7

Х=-7

У=(-4+8)÷2

У=4÷2=2

Н(х;у)=Н(-7;2)

Ответ:Н(-7;2)

Answer 2

To find the coordinates of the midpoint H of segment AB, you can use the midpoint formula. The midpoint formula states that the coordinates of the midpoint (H) of a line segment with endpoints A(x1, y1) and B(x2, y2) are given by:

H(x, y) = ((x1 + x2) / 2, (y1 + y2) / 2)

Given the coordinates of points A and B as A(-3, 8) and B(-11, -4) respectively, we can apply the midpoint formula to find the coordinates of point H:

x-coordinate of H = (-3 + -11) / 2 = -14 / 2 = -7 y-coordinate of H = (8 + -4) / 2 = 4 / 2 = 2

Therefore, the coordinates of point H (the midpoint of segment AB) are H(-7, 2).