Length and midpoint

The diagram illustrates a straight line segment joining the points $A(-3,4)$ and $B(6,-2)$.

Feb/March 2018

Calculate the value of $SR$.

Feb/March 2019

Point A is at co-ordinates (-4, 6), and point B is at co-ordinates (7, -2).

May/June 2015

$A$ is at $(7, 12)$, while $B$ lies at $(2, -1)$.

May/June 2019

$A$ is located at $(5,-5)$, and $B$ is located at $(9,3)$.

May/June 2021

The point $A$ is $(5, 7)$, while the point $B$ is $(9, -1)$.

May/June 2021

Find the coordinates of $C$ and of $D$. You may use the grid to assist you.

May/June 2023

M is at $(4, 1)$, while N is at $(-2, -7)$.

May/June 2023

Find the $y$-coordinate for the midpoint of $AB$.

May/June 2025

The line segment $AB$ connects the points $A(3,4)$ and $B(5,8)$.

Oct/Nov 2015

Find the midpoint of $AB$ when $A = (w, r)$ and $B = (3w, t)$. Write your answer in simplest form using $w$, $r$ and $t$.

Oct/Nov 2018

Point A has coordinates (2, 1), while point B has coordinates (9, 4).

Oct/Nov 2019

Find the coordinates of the midpoint of line AB.

Oct/Nov 2022

$AB$ is a line whose midpoint is $M$. The point $A$ is $(2, 3)$ and the point $M$ is $(12, 7)$.

Oct/Nov 2022

B has coordinates (-3, 1) and D has coordinates (-5, 9). BD is one diagonal of kite ABCD. The ratio of the diagonal lengths BD : AC = 2 : 3.

Oct/Nov 2025

Calculate y.

Oct/Nov 2025