Either diagonal of a parallelogram divides the parallelogram into two triangles of equal areas. Thus area of triangle abd = half that of the parallelogram abcd. The required ratio is 1 / 2.
Yes. The diagonals of any parallelogram bisect each other. A rectangle is a special case of a parallelogram.
It is helpful (not help full) because the two triangles formed by either diagonal are congruent.
The parallelogram law states that when two concurrent forces F1 &F2 acting on a body are represented by two adjacent sides of a parallelogram the diagonal passing through their point of concurrency represents the resultant force R in magnitude and direction
Yes.Although the definition of a parallelogram is "a quadrilateral with both pairs of opposite sides parallel", the only way for a quadrilateral to include opposite sides of equal length is if the included angles are the same, and hence the sides are parallel.(Hint : draw a diagonal to a parallelogram. You can show that one of the two triangles formed is the mirror image of the other, which immmediately proves that each pair of opposite sides is equal.)
two congruent triangles
In a parallelogram of forces, the resultant force is represented by the diagonal of the parallelogram drawn from the initial point of the forces to the opposite corner. The magnitude and direction of the resultant force are determined by the length and orientation of this diagonal in the parallelogram.
The diagonal of a parallelogram divides it into two congruent triangles. This is because the diagonal creates two pairs of congruent triangles by dividing the parallelogram into two equal halves.
two congruent triangles
A parallelogram is anything from a square to a rectangle. As long as it has parallel sides, then it is a parallelogram. If you're thinking of a rhombus, then it has diagonal sides.
a squished rectangle
A parallelogram has two diagonals the same as all 4 sided quadrilaterals
No. Most do not.
If you know the answer please tell me.
If you draw a diagonal line from corner to corner of a parallelogram, that is a line of symmetry.
Either diagonal of a parallelogram divides the parallelogram into two triangles of equal areas. Thus area of triangle abd = half that of the parallelogram abcd. The required ratio is 1 / 2.
Do exactly the same thing for a rhombus or a parallelogram A = base x height (parallelogram) OR A = 1/2 x diagonal 1 x diagonal 2