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Two congruent triangles.. To prove it, use the SSS Postulate.

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11y ago
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13y ago

into two same triangles

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Q: A diagonal separates the parallelogram into?
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E is the midpoint of ab and db is a diagonal of parallelogram abcd what is the ratio of areas of triangle Δabd to parallelogram abcd?

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.


Does the diagonal of a rectangle bisect each other?

Yes. The diagonals of any parallelogram bisect each other. A rectangle is a special case of a parallelogram.


Why is drawing the diagonals of a parallelogram help full in proving many of the parallelograms properties?

It is helpful (not help full) because the two triangles formed by either diagonal are congruent.


Proof of parallelogram law of forces?

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


Is a quadrilateral a parallelogram if both pairs of opposite sides are equal?

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.)

Related questions

In a parallelogram a diagonal separates the parallelogram into?

two congruent triangles


In a parallelogram a diagnol separates the parallelogram into?

two congruent triangles


Do parallelograms have diagonal sides?

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.


How is the diagonal in parallelogram formed?

a squished rectangle


What is the diagonal of a parallelogram?

A parallelogram has two diagonals the same as all 4 sided quadrilaterals


Are all parallelogram have diagonal of equal length?

No. Most do not.


How do you calculate the diagonal of the parallelogram?

If you know the answer please tell me.


Why parallelogram has no lines of symmetry?

If you draw a diagonal line from corner to corner of a parallelogram, that is a line of symmetry.


E is the midpoint of ab and db is a diagonal of parallelogram abcd what is the ratio of areas of triangle Δabd to parallelogram abcd?

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.


How do you figure out the area of a diamond?

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


If one diagonal of a quadrilateral bisects the other when is the quadrilateral a parallelogram?

In this case, the quadrilateral is sometimes a parallelogram.


Does The diagonal of a parallelogram create alternate interior angles?

True