Posted by **Anonymous** on Friday, December 28, 2012 at 11:46am.

prove that the points (2,-1) (0,2) (2,3)and (4,0) are the coordinates of vertices of a parallelogram and find the angle between its diagonals

- maths --plse help me.. -
**Steve**, Friday, December 28, 2012 at 5:04pm
If we label the points ABCD as given, then

AB and CD have slope -3/2

AD and BC have slope 1/2

so, the sides are parallel

AC is vertical

BD has slope -1/2

so, tanθ = 2 ==> θ = 63.4°

The calculations are easier if you plot the points and draw the diagonals.

## Answer this Question

## Related Questions

- geometry - Given: QRST is a parallelogram. Prove: QRST is a square. Complete ...
- maths --plse help me.. - ABCD ia a parallelogram whose diagonals intersecting at...
- Geometry - Write a proof. 1. Prove: If the diagonals of a parallelogram are ...
- Algebra - Let A(4,3) B(5,8) and C(3,10) be three points in a coordinate plane. ...
- maths --plse help me.. - In a parallelogram ABCD, diagonals AC & BD intersect at...
- maths --plse help me.. - In a parallelogram ABCD, diagonals AC & BD intersect at...
- help asap - 7. Verify that parallelogram ABCD with vertices A(–5, –1), B(–9, 6...
- math - If the coordinates of the vertices of a parallelogram are (-2,3), (3,1...
- maths - if the points A(-1,2) , B(2,3) , C(-3,2) and D(-4,-3) are the vertices ...
- math - A parallelogram is a convex quadrilateral with four vertices and two sets...

More Related Questions