ABCD is a parallelogram, lettered anticlockwise, such that A and Care the points (−1, 5)
and (5, 1) respectively.
a) Find the coordinates of the midpoint of AC.
b) Given that BD is parallel to the line whose equation is y+5x=2, find the equation of
BD.
c) Given that BC is perpendicular to AC, find:
i. the equation of BC
ii. the coordinates of B
iii. the coordinates of D.

Question

ABCD is a parallelogram, lettered anticlockwise, such that A and Care the points (−1, 5)
and (5, 1) respectively.
a) Find the coordinates of the midpoint of AC.
b) Given that BD is parallel to the line whose equation is y+5x=2, find the equation of
BD.
c) Given that BC is perpendicular to AC, find:
i. the equation of BC 
ii.  the coordinates of B 
iii. the coordinates of D.

anonymous · Answer

im not sure what to do with c.iii. finding the coor of D

anonymous · Answer

a)(2,3)
b)y-3=-5(x-2)
y=-5x+13

anonymous · Answer

yeah for c?

anonymous · Answer

C)you know the slope for AC right??slope of BC=-1/slope of AC
you know point C(x1,y1) too....so y-y1=slope of BC(x-x1)

anonymous · Answer

yteah

anonymous · Answer

i just cant do iii. thats it

anonymous · Answer

slope of BC is same as AD right??(since its a parallelogram)...you know point A and slope of AD...so find D...

anonymous · Answer

got it??

anonymous · Answer

no sorry then what i do aftert?

sirm3d · Answer

@powerangers69 use the fact that the midpoint (2,3) in problem (a) is also the midpoint of BD.

anonymous · Answer

hmmmm