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Are both diagonals of any parallelogram longer than the sides?

Yes.


What is the ratio of the diagonals of a Kite?

In a kite, the diagonals intersect at right angles, and one of the diagonals bisects the other. The ratio of the lengths of the diagonals can vary depending on the specific dimensions of the kite, but generally, the longer diagonal (which connects the vertices of the unequal angles) is greater than the shorter diagonal (which connects the vertices of the equal angles). There isn't a fixed ratio applicable to all kites, as it depends on their specific dimensions.


What polygons are all the diagonals always longer than the sides?

squares,rectangles,regular pentagons


Are diagonals in regular pentagons and regular hexagons always longer than the length of the sides?

yes


Are diagonals always longer than the sides?

Well, honey, let me drop some knowledge on you. In a rectangle, the diagonals are indeed longer than the sides, thanks to good ol' Pythagoras and his theorem. But in a square, the diagonals are the same length as the sides because all sides are equal. So, it really depends on the shape you're working with.


Do the diagonals of a quadrilateral kite separate the kite into four congruent triangles?

Not necessarly. If the sum of two of the sides congruent to each other are greater than that of the sides opposite them, then no. If however the kite forms a rombus ot square, the diagnoles will form four congruent triangles with the base of both being the line of symmetry.


Which shape has 2 pairs of equal sides 1 line of symmetry and 1 pair of equal angles?

The shape that fits this description is a kite. A kite has two pairs of equal sides, with one pair longer than the other. It also has one line of symmetry, which divides the kite into two equal halves. Additionally, a kite has one pair of equal angles, formed by the intersection of the longer sides.


What quadrilateral do form diagonals a 30 angle?

Any quadrilateral other than a square or kite could have diagonals meeting at 30 degrees.


What quadrilateral has no rotational symmetry but has perpendicular diagonals?

A kite is a quadrilateral that has no rotational symmetry but features perpendicular diagonals. In a kite, the diagonals intersect at right angles, but the shape does not exhibit rotational symmetry since it cannot be rotated to match itself at any angle other than a full 360 degrees. Thus, the unique properties of a kite fit the criteria specified.


Is a kite a trapezoid?

No but they are both quadrilaterals.


What polygon is shaped like a arrow?

A polygon shaped like an arrow is typically a quadrilateral known as a kite. A kite has two pairs of adjacent sides that are equal in length, with one pair being longer than the other. The longer pair of sides form the "wings" of the kite, while the shorter pair form the "tail." Kites are unique in that they are not always symmetric like other quadrilaterals such as squares or rectangles.


What quadrilateral shape has more than one obtuse angle and has no parallel sides?

A general quadrilateral or a kite.