Question No. 27

Lesson#9
Question No. 27
Q.27. One vertex of a parallelogram is (1,4); the diagonals intersect at (2,1) and the sides have slopes 1 and -1/7. Find the other three vertices.
Math Ex. 4.3 Part 09
Solution: referred to diagram, There is a parallelogram.|Give information is shown.
Let B(x1, y1) , C(x2, y2) and D(x3, y3) are unknown vertices.
As diagonals of a parallelogram bisect each other so
M(2, 1) is midpoint of both diagonals.
Midpoint of AC = (x2+1/2, y2+4/2) ...
Introduction to Analytical Geometry
Chapter No 4
Exercise No 4.3
Mathematics
part 2