two congruent triangles
sometimes
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.
Not necessarily. But a parallelogram with perpendicular diagonals must always be one.
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.
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
Two congruent triangles.. To prove it, use the SSS Postulate.
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
In this case, the quadrilateral is sometimes a parallelogram.
True