Linear Equations

UK Secondary (7-11)

The Midpoint of an Interval

Which of the following formulae correctly describes the coordinates of the midpoint of the points $\left(x_1,y_1\right)$(`x`1,`y`1) and $\left(x_2,y_2\right)$(`x`2,`y`2)?

$\left(x_2+x_1,y_2+y_1\right)$(`x`2+`x`1,`y`2+`y`1)

A

$\left(\frac{x_2+x_1}{2},\frac{y_1-y_2}{2}\right)$(`x`2+`x`12,`y`1−`y`22)

B

$\left(\frac{x_1-x_2}{2},\frac{y_1-y_2}{2}\right)$(`x`1−`x`22,`y`1−`y`22)

C

$\left(\frac{x_2+x_1}{2},\frac{y_2+y_1}{2}\right)$(`x`2+`x`12,`y`2+`y`12)

D

$\left(x_2+x_1,y_2+y_1\right)$(`x`2+`x`1,`y`2+`y`1)

A

$\left(\frac{x_2+x_1}{2},\frac{y_1-y_2}{2}\right)$(`x`2+`x`12,`y`1−`y`22)

B

$\left(\frac{x_1-x_2}{2},\frac{y_1-y_2}{2}\right)$(`x`1−`x`22,`y`1−`y`22)

C

$\left(\frac{x_2+x_1}{2},\frac{y_2+y_1}{2}\right)$(`x`2+`x`12,`y`2+`y`12)

D

Easy

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