Question

If three vertices of a parallelogram are A(3,5),
B(-5 - 4) and C(7, 10), then fourth vertex is
(b) (15,10)
(d) (10, 15)
(a) (10.19)
(c) (19, 10)
(e) (15,19)​

Answer 1

Answer:

(e) (15,19)

Step-by-step explanation:

Let coordinates of fourth vertex are (x,y). 

by mid point formulae

∴2x−5=27+3

&2y−4=25+10

⇒x=15

⇒y=19

∴ Coordinates of fourth vertex are (15,19)