When can a parallelogram be a kite?

Asked By: Aitz Vaculova | Last Updated: 18th January, 2020
Category: science space and astronomy
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A kite is usually defined as having two sets of consecutive congruent sides. If the definition includes the phrase two DISTINCT sets of congruent sides it will not be a parallelogram, as the opposite sides will not be congruent.

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Similarly, you may ask, when can a parallelogram also be a kite?

In Euclidean geometry, a kite is a quadrilateral whose four sides can be grouped into two pairs of equal-length sides that are adjacent to each other. In contrast, a parallelogram also has two pairs of equal-length sides, but they are opposite to each other rather than adjacent.

Also, can a parallelogram and a kite be congruent? A square can be defined as a rhombus which is also a rectangle – in other words, a parallelogram with four congruent sides and four right angles. A trapezoid is a quadrilateral with exactly one pair of parallel sides. A kite is a quadrilateral with exactly two pairs of adjacent congruent sides.

Also question is, are some parallelograms kites?

Kites are quadrilaterals that can be parallelograms. If their two pairs of sides are equal, it becomes a rhombus, and if their angles are equal, it becomes a square.

Is a rhombus a kite?

In general, any quadrilateral with perpendicular diagonals, one of which is a line of symmetry, is a kite. Every rhombus is a kite, and any quadrilateral that is both a kite and parallelogram is a rhombus. A rhombus is a tangential quadrilateral. That is, it has an inscribed circle that is tangent to all four sides.

39 Related Question Answers Found

Are rectangles Rhombuses?

Explanation: A rectangle is a parallelogram with all its interior angles being 90 degrees. A rhombus is a parallelogram with all its sides equal. This means that for a rectangle to be a rhombus, its sides must be equal.

Is Diamond a parallelogram?

A rectangle is a parallelogram that has four opposite, parallel, congruent sides. The opposite sides are parallel, but the corners do not form right angles. A diamond shape is a good example of a rhombus. A rhomboid has four parallel sides.

Is a kite a polygon?

A kite is a quadrilateral shape with two pairs of adjacent (touching), congruent (equal-length) sides. That means a kite is all of this: A closed shape. A polygon.

Are trapezoids parallelograms?

No, a trapezoid is not a parallelogram. A trapezoid is defined as having Exactly two parallel sides while a parallelogram has two pairs of parallel sides.

Is a square a rhombus?


A rhombus is a quadrilateral with all sides equal in length. A square is a quadrilateral with all sides equal in length and all interior angles right angles. Thus a rhombus is not a square unless the angles are all right angles. A square however is a rhombus since all four of its sides are of the same length.

Is rhombus a parallelogram?

DEFINITION: A rhombus is a parallelogram with four congruent sides. THEOREM: If a parallelogram is a rhombus, each diagonal bisects a pair of opposite angles. THEOREM Converse: If a parallelogram has diagonals that bisect a pair of opposite angles, it is a rhombus.

What shape is a trapezoid?

A trapezoid is a 4-sided flat shape with straight sides that has a pair of opposite sides parallel (marked with arrows below): Trapezoid.

What are the 7 Quadrilaterals?

Quadrilaterals - Square, Rectangle, Rhombus, Trapezoid, Parallelogram.

Is Kite a trapezium?

In general, a quadrilateral with two pairs of equal adjacent sites (i.e. a kite) mustn't have a pair of parallel opposite sides (as a trapezoid). So a kite must have 4 equal sides to be a trapezoid. Therefore it must be a rhombus. So a kite can be a trapezoid; this is the case when it's a rhombus.

Is a rectangle always a parallelogram?


It is true that every rectangle is a parallelogram, but it is not true that every parallelogram is not a rectangle. For instance, take a square. It's a parallelogram — it is a quadrilateral with two pairs of parallel faces. But it is also a rectangle — it is a quadrilateral with four right angles.

Is a rhombus a trapezoid?

As long as any quadrilateral has that property, irrespective of what other properties it may have, it is a trapezoid. In a rhombus, the opposite sides are parallel. If two pairs of sides are parallel, then one pair of sides is obviously parallel, meaning the shape is a trapezoid.

Does a kite have a right angle?

In Euclidean geometry, a right kite is a kite (a quadrilateral whose four sides can be grouped into two pairs of equal-length sides that are adjacent to each other) that can be inscribed in a circle. Thus the right kite is a convex quadrilateral and has two opposite right angles.

Why is a rectangle not a kite?

Likewise, every square is also a rectangle, because a rectangle has 4 right angles, but every rectangle is not a square. Kites are a special type of quadrilateral with two distinct pairs of consecutive sides the same length. Every kite is not a rhombus, because all sides of a kite are not equal.

Is a rectangle a polygon?

Polygons are many-sided figures, with sides that are line segments. Polygons are named according to the number of sides and angles they have. The most familiar polygons are the triangle, the rectangle, and the square. A regular polygon is one that has equal sides.

Is a kite a parallelogram only when it is a rhombus?


Explanation: A kite is a quadrilateral with two disjoint pairs (no side is in both pairs) of equal-length, adjacent (sharing a vertex) sides. It is possible to fulfill both conditions, but only if all four sides are of equal length, that is, if the quadrilateral is a rhombus.

What is kite and its properties?

A kite is a quadrilateral that has 2 pairs of equal-length sides and these sides are adjacent to each other. Properties: The two angles are equal where the unequal sides meet. It can be viewed as a pair of congruent triangles with a common base. It has 2 diagonals that intersect each other at right angles.

Why is a rhombus a kite?

RHOMBUS- a quadrilateral in which all four sides are congruent. KITE- a quadrilater in which each pair of consecutive sides are congruent, but opposite sides are not congruent. FORMULAS- The reason these two polygons were grouped together is because they actually have the same formula for their areas.