Mid-point and End-point of Straight Lines

Question 1

A is the point with coordinates (2,9)
B is the point with coordinates (10,1)

Work out the coordinates of the midpoint of the line AB

Answer 1

(6,5)

Question 2

C is the point with coordinates (2,4)
D is the point with coordinates (6,10)

Work out the coordinates of the midpoint of the line AB

Answer 2

(4,7)

Question 3

E is the point with coordinates (-5,2)
F is the point with coordinates (5,-4)

Work out the coordinates of the midpoint of the line AB

Answer 3

(0,-1)

Question 4

G is the point with coordinates (-10,-6)
H is the point with coordinates (-2,8)

Work out the coordinates of the midpoint of the line AB

Answer 4

(-6,1)

Question 5

I is the point with coordinates (-3,9)
J is the point with coordinates (7,-1)

Work out the coordinates of the midpoint of the line AB

Answer 5

(2,4)

Question 6

K is the point with coordinates (0,5)
L is the point with coordinates (-11,-10)

Work out the coordinates of the midpoint of the line AB

Answer 6

(-5.5,-2.5)

Question 7

M is the midpoint of line PO
O is the point with coordinates (1,1)
M is the point with coordinates (5,6)

Work out the coordinates of the of P

Answer 7

(9,11)

Question 8

M is the midpoint of line AB
Q is the point with coordinates (2,20)
M is the point with coordinates (4.5,13)

Work out the coordinates of the of R

Answer 8

(7,6)

Question 9

M is the midpoint of line AB
S is the point with coordinates (13,9)
M is the point with coordinates (8,7)

Work out the coordinates of the of T

Answer 9

(3,5)

Question 10

M is the midpoint of line AB
U is the point with coordinates (-2,3)
M is the point with coordinates (1,5)

Work out the coordinates of the of V

Answer 10

(4,7)

Question 11

M is the midpoint of line AB
W is the point with coordinates (9,8)
M is the point with coordinates (7.5,0)

Work out the coordinates of the of X

Answer 11

(6,-8)

Question 12

M is the midpoint of line AB
Y is the point with coordinates (-15,6)
M is the point with coordinates (-7,-1)

Work out the coordinates of the of Z

Answer 12

(1,-8)

Question 13

P is the point with coordinates (-10,8)
Q is the point with coordinates (2,-10)
R is the point with coordinates (10,4)
A is the midpoint of the line PQ
B is the midpoint of the line PR
M is the midpoint of the line AB
Find the coordinates of the point M

Answer 13

(-2,2.5)

Question 14

M is the midpoint of line AB
B is the point with coordinates (11,8)
M is the point with coordinates (7,2)
C is the point with coordinates (7,-4)

Find the area of triangle ACM

Answer 14

12 cm²

Question 15

A is the point with coordinates (-20,1)
N is the point with coordinates (-10.5,3.25)
M is the midpoint of AB
N is the midpoint of AM
Find the coordinates of point B

Answer 15

(18,10)