Question

Three vertices of a rectangle are (3, 2), (– 4, 2) and (– 4, 5). Plot these points and find the

coordinates of the fourth vertex. (3 marks)

A. (3, 5) B.(- 3, 5)

C. (4, 5) D.(2, 5)​

Answer 1

Answer:

the answer is a) (3, 5)

Step-by-step explanation:

diagonals bisect each other for a rectangle

midpoint of ac=midpoint of bd

(3-4)/2, (2+5)/2=(-4+x) /2 ,(2+y) /2

(3-4/2)=(-4+x)/2 7/2=(2+y)/2

x=3 y=5

D=(x, y) =(3,5)

Answer 2

Answer:

using mid point formula for x cordinates and y cordinates separately we can find fourth vertex

Therefore option A is correct.