Advertisement Remove all ads

Show that the Points a (3,1) , B (0,-2) , C(1,1) and D (4,4) Are the Vertices of Parallelogram Abcd. - Mathematics

Advertisement Remove all ads
Advertisement Remove all ads
Advertisement Remove all ads

Show that the points A (3,1) , B (0,-2) , C(1,1)  and D (4,4) are the vertices of parallelogram ABCD.

Advertisement Remove all ads

Solution

The points are A (3,1) , B (0,-2) , C(1,1)  and D (4,4)

Join AC and BD, intersecting at O.

We know that the diagonals of a parallelogram bisect each other `".Midpoint of AC" = ((3+1)/2 , (1+1)/2) = (4/2,2/2) = (2,1) `

`"Midpoint of BD " ((0+4)/2 , (-2+4)/4) = (4/2,2/2) = (2,1)`

Thus, the diagonals AC and BD have the same midpoint

Therefore, ABCD is a parallelogram.

Concept: Area of a Triangle
  Is there an error in this question or solution?

APPEARS IN

RS Aggarwal Secondary School Class 10 Maths
Chapter 16 Coordinate Geomentry
Q 24
Advertisement Remove all ads
Share
Notifications

View all notifications


      Forgot password?
View in app×