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Asked by: Yovana Eulalia
technology and computing computer peripheralsAre the two diagonals of a parallelogram equal?
Last Updated: 17th June, 2020
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Also to know is, are diagonals of a parallelogram congruent?
All the properties of a parallelogram apply (the ones that matter here are parallel sides, opposite sides are congruent, and diagonals bisect each other). All angles are right angles by definition. The diagonals are congruent.
Furthermore, why are the diagonals of a parallelogram not congruent? The diagonals of a parallelogram are not equal. Because the parallelogram has adjacent angles as acute and obtuse, the diagonals split the figure into 2 pairs of congruent triangles. Since the angles are acute or obtuse, two of the shorter sides of the triangles, both acute and obtuse are congruent.
In this manner, what is the diagonal of a parallelogram?
Diagonal of Parallelogram Formula A parallelogram is a quadrilateral whose opposite sides are parallel and equal. The opposite sides being parallel and equal, forms equal angles on the opposite sides. Diagonals of a parallelogram are the segments which connect the opposite corners of the figure.
Are the two diagonals of a rectangle equal Why?
The two diagonals are congruent (same length). Each diagonal bisects the other. In other words, the point where the diagonals intersect (cross), divides each diagonal into two equal parts. Each diagonal divides the rectangle into two congruent right triangles.