Question

name the quadrilaterals whose lines of symmetry are its diagonals

Answer 1

parallelogram is the quadrilateral whose lines of symmetry are its diagonals

Answer 2

Answer:

The quadrilaterals whose lines of symmetry are its diagonals are called kites.

Step-by-step explanation:

• A kite is a quadrilateral with two pairs of congruent, adjacent sides. It has two distinct lines of symmetry, which are the diagonals of the kite. In other words, a kite is a polygon that has two pairs of adjacent sides that are equal in length and also has two diagonals that bisect each other at right angles.
• Kites have the unique property that the two diagonals are not only congruent but also bisect each other at right angles. This means that the kite can be divided into two congruent isosceles triangles.
• The opposite angles of a kite are equal and supplementary, meaning they add up to 180 degrees. The opposite sides are also parallel to each other.
• Kites are named after the kite bird, which they resemble, because of their wing-like shape. They are also sometimes called deltoids, after the Greek letter delta (Δ), which has a similar shape.
• In addition to their geometric properties, kites have many practical uses. For example, kites are used in kite flying and kite fighting, and they are also used as a design element in architecture and art.

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