Question

The midpoint of line segment AB is (1,2). if the coordinates of A are (1,0) what are the coordinates of B

Answer 1

The required coordinate of B will be at (1, 4)

When a point bisects a line, it cuts the line into two equal parts and the point on that line is known as its midpoint. The expression for calculating the midpoint of a line is expressed as;

$M(X, Y)= [{ \frac{x_2+x_1}{2} , \frac{y_2+y_1}{2} ]$ where:

$X =\frac{x_2+x_1}{2} \\Y=\frac{y_2+y_1}{2}$

From the question, we are given the following coordinate points

$X=1\\x_1=1$

Get x₂;

$X =\frac{x_2+x_1}{2}\\1 =\frac{x_2+1}{2}\\2=x_2+1\\x_2=2-1\\x_2=1$

Get y₂;

$Y =\frac{y_2+y_1}{2}\\2 =\frac{y_2+0}{2}\\2 \times 2=y_2+0\\4=y_2+0\\y_2=4$

Hence the coordinate of B will be (1, 4)

Learn more about the midpoint here: brainly.com/question/18315903