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What quadrangle has 2 pairs of congruent adjacent sides and one of the diagonals is the only line of symmetry?
kite
What does a kite have?
In geometry, a kite is a four sided polygon, with 2 adjacent sides congruent, and the other 2 adjacent sides congruent. Also, each of the 2 opposite angles (which connect the non-congruent sides are congruent to each other, and the other 2 angles non-congruent. The diagonals are congruent. There is one line of symmetry. Since a picture is worth a thousand or so words, view the related link.
What is the name of the quadrilateral which has diagonals that are different in length and has two axes of symmetry?
The quadrilateral you are referring to is called a kite. A kite is a quadrilateral with two distinct pairs of adjacent sides that are equal in length, and one pair of diagonals that are not equal in length. Additionally, a kite has two axes of symmetry, which are lines that divide the kite into two congruent halves.
In geometry what is a kite?
A kite is a quadrilateral, called a deltoid. Among its four sides, there is one line of symmetry. Two sets of adjacent sides across the line of symmetry are the same length. One set of opposite angles is congruent. The diagonals of kites form 90° angles.
Why diagonals are not lines of symmetry in rectangles?
The diagonals of rectangles are rotational lines of symmetry but not reflective. To be reflective lines, folding along the line has to give the same shape on each side.
In which quadrilateral are the diagonals always congruent?
The diagonals of a rhombus are always congruent. A rhombus is a quadrilateral with all sides of equal length. Due to its symmetry, the diagonals of a rhombus bisect each other at right angles, and they are always of the same length. This property distinguishes a rhombus from other quadrilaterals like rectangles or parallelograms.
Are lines of symmetry also diagonals in polygons?
Lines of symmetry in polygons are not necessarily diagonals. A line of symmetry divides a shape into two identical halves, while a diagonal connects non-adjacent vertices of a polygon. In some cases, a diagonal can serve as a line of symmetry, but this is not true for all polygons. Therefore, while there can be overlap, the two concepts are distinct and not synonymous.
What is a quadrilateral with exactly two pairs of adjacent sides that are congruent?
A quadrilateral with exactly two pairs of adjacent sides that are congruent is known as a kite. In a kite, one pair of opposite angles are equal, and the diagonals intersect at right angles, with one diagonal bisecting the other. This shape has a distinct symmetry along the axis that runs through the vertices of the unequal angles. Kites are commonly found in various geometric contexts and have unique properties that distinguish them from other quadrilaterals.
What is the symmetry in a rhombus?
There is reflective symmetry about each of the diagonals as well as rotational symmetry or order 2.
Is the diagonals of a rectangle axes of symmetry?
No but a rectangle does have 2 lines of symmetry
Do squares have diagonals that are lines of symmetry?
Yes
Are diagonals lines of symmetry in a rectangle and parallelogram?
No.
