Question

Three vertices of parallelogram DFGH are D(-9, 4) , F(-1, 5) , and G(2, 0). Find the coordinates of vertex H.


choices:
a. (-6, -1)
b. (-9, 0)
c. (-2, -3)
d. (-1, 5)

Answer 1

help

Answer 2

H=(-6,-1)
I will explain to you why

Answer 3

thank you so much~

Answer 4

Do you want more explanation?

Answer 5

yes please

Answer 6

D(-9, 4) , F(-1, 5) , and G(2, 0). H(-6,1)
Find the slope of FG which is equal to the slope FH
find the equation of the line FH
you find it equal to
\[
y=-\frac{5 x}{3}-11
\]
Do the same for the line GH to find
\[
y=\frac{x}{8}-\frac{1}{4}
\]
The intersection of the two lines is H. Solve
\[

\frac{5 x}{3}-11= \frac{x}{8}-\frac{1}{4}
\]
you find x=-6
Hence y=-1

Answer 7

Discard H(-6,1) in the first line of the above post

Answer 8

Are you still there?

Answer 9

ya thankyou

Answer 10

Did you understand the method I desribed above