Mathematics, 12.08.2021 22:50 Tcrismon1000

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

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Answer from: Desireeloves8849

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:

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

Answer from: Quest

do i do it on a graph?

step-by-step explanation:

Answer from: Quest

ratios represent a pattern or relationship that can be scaled.

equivalent ratios are pairs of ratios that represent the same relationship between quantities, and can be generated by multiplying or dividing both quantities in the ratio by the same factor.

in this lesson, students will use double number lines and ratio reasoning to solve ratio problems. by partitioning double number lines into proportionate intervals, students will build an understanding of equivalent ratio relationships as those that are generated by multiplying or dividing two related quantities by the same number. this lesson will build upon students' prior understanding of multiplicative comparisons, number line reasoning and equivalent fractions (while highlighting the difference between equivalent fractions and equivalent ratios); and will build toward future work in this unit on building ratio tables, and work in future grades in proportionality, scaling, and expressing and graphing linear functions.

step-by-step explanation:

ratios represent a pattern or relationship that can be scaled.

equivalent ratios are pairs of ratios that represent the same relationship between quantities, and can be generated by multiplying or dividing both quantities in the ratio by the same factor.

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

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