Asked by Veronica
A rhombus ABCD has opposite vertices at A(-3,2) and C(9,-2). Find the equations of its diagonals. One of the other vertices is B(4,3).
Find the fourth vertex D
Equation of AC
Equation of BD
Coordinates of D
Find the fourth vertex D
Equation of AC
Equation of BD
Coordinates of D
Answers
Answered by
Steve
the slope of AC is -1/3
Thus the line AC is
y-2 = -1/3 (x+3)
The diagonals are perpendicular bisectors. The midpoint of AC is (3,0). The slope of BD is 3, so the line BD is
y-0 = 3(x-3)
Note that you don't need the other vertices B and D.
Thus the line AC is
y-2 = -1/3 (x+3)
The diagonals are perpendicular bisectors. The midpoint of AC is (3,0). The slope of BD is 3, so the line BD is
y-0 = 3(x-3)
Note that you don't need the other vertices B and D.
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.