Home assignments
assignment - task ii
rectangles in the plane (2)
choose all that define a rectangle in the coordinate plane by the four given points.
a(-4,0), b(3, 2), c(4, -2), d(-2, -3)
a(0,0), b(2, 2), c(7.-3), d(5,-5)
a(-2, 6), b(4,3), c(2, -1), d(-4, 2)
a(-3,-4), b(-1,2), c(2, 1), d(0,-5)
submit answer

Given that,

DE = 8x - 13

EF = 5x + 17

DF = x + 21

Also,

DE = EF

which means that,

8x - 13 = 5x + 17

8x - 5x = 17 + 13

3x = 30

x = 30/3

x = 10

Now,

DE = 8x - 13 = 8×10 - 13 = 80 - 13 = 67cm

EF = 5x + 17 = 5×10 + 17 = 50 + 17 = 67cm

DF = x + 21 = 10 + 21 = 31cm

Step-by-step explanation:

Geometry is really boring, but i hope this helps.