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The point at which the diagonal of a parallelogram intersect is equidistant from the four vertices?
sometimes
How do you find the perimeter of a parallelogram using Pythagorean theorem?
you can't, because the Pythagorean theorem is for right triangles and the triangles formed by the diagonal of a parallelogram are not right triangles.
Is a quadrilateral with perpendicular diagonal a rhombus?
Not necessarily. But a parallelogram with perpendicular diagonals must always be one.
A rhombus is a square true or false?
False. Every rhombus is a parallelogram, but not every rhombus is a square. Only those that have right angles are squares. Every rhombus is a parallelogram because its diagonal lines are perpendicular, and they bisect an interior angle.
What is the diagonal of 11 square inches?
As no shape has been given for the area it is impossible to given the length of the diagonal - the diagonal can be ANY length greater than 0 (assuming you can define what diagonal means for the shape). If you are referring to a square with an area of 11 square inches then: Using Pythagoras: diagonal² = side² + side² = 2 × side² → side² = diagonal² ÷ 2 area = side² = diagonal² ÷ 2 → diagonal² = 2 × area → diagonal = √(2 × area) = √(2 × 11 sq in) = √22 in ≈ 4.69 in If you mean an 11 inch square, ie a square with 11 inches along each side: Use Pythagoras: Diagonal² = √(2 × sidelength²) → diagonal = side_length × √2 → diagonal = 11 in × √2 ≈ 15.6 in
A diagonal separates the parallelogram into?
Two congruent triangles.. To prove it, use the SSS Postulate.
When a parallelogram is constructed in order to add forces what represents the resultant of the forces?
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.
What divides a parallelogram into two congruent triangles?
The term for the line that divides them is a diagonal.
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
Why drawing a diagonal on any parallelogram will always result in two congruent triangles?
Drawing a diagonal in a parallelogram divides it into two triangles that share the same base (the diagonal) and have equal heights, as the opposite sides of a parallelogram are equal in length and parallel. Additionally, each triangle has two sides that are equal to the lengths of the corresponding sides of the parallelogram. By the Side-Side-Side (SSS) congruence criterion, the two triangles formed by the diagonal are congruent. Thus, any diagonal in a parallelogram always results in two congruent triangles.
How do you calculate the diagonal of the parallelogram?
If you know the answer please tell me.
Are all parallelogram have diagonal of equal length?
No. Most do not.
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.
