Posted by **faizel** on Sunday, January 6, 2013 at 6:30am.

Given is a quadrilateral ABCD,diagonals AC and BDare such that AO=BO=CO=DO=3cm,where Ois point of intersection of AC and BD then quadrilateral ABCD is a rectangle State true or false with reason

- geometry -
**drwls**, Sunday, January 6, 2013 at 11:06am
True.

Triangle ABO is congruent to triangle CDO.(Side-angle-side equality) Triangle BCO is congruent to triangle DAO (side-angle-side equality)

Opposite pairs of sides of the quadrilateral are equal in length (due to triangle congruency).

Angles A, B, C and D are right angles.(symmetry requirement)

## Answer This Question

## Related Questions

- Geometry - The coordinates of the vertices of quadrilateral ABCD are A (-8, 8...
- math - Algebra For questions 1-5, find the value of the variable. 1. x = (1 ...
- geometry - Given: QRST is a parallelogram. Prove: QRST is a square. Complete ...
- geometry - A quadrilateral has vertices A(3, 5), B(2, 0), C(7, 0), and D(8, 5). ...
- Geometry - Quadrilateral GHIJ is a scale drawing of quadrilateral ABCD with a ...
- Maths - Diagonals AC and BD of a rectangle ABCD intersect each other at point o....
- Geometry - If m<DBC=10x and m<ACb=4x^2, find m<ACB. The quadrilateral ...
- geometry - What is the most precise name for quadrilateral ABCD with vertices A...
- Geometry - Graph the following quadrilateral: A(-2,-3) B(-1,1) C(4,-1) D(3,-5) ...
- goemetry - the vertice of rectangle ABCD are A=(0,0), B=(2a,0), C=(2a,2b) and D...

More Related Questions