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Kites (Deltoids)

A kite, also called a deltoid, is a quadrilateral in which there are two pairs of adjacent edges that are equal.

Kite (Deltoid) Shape in Geometry

The diagonals of a kite are perpendicular to each other.

The diagonal which connects the two corners between the equal edges (which is the kite's axis of symmetry) bisects the angles at its endpoints, and bisects the other diagonal.

The other diagonal - which connects corners between unequal edges - does not bisect the angles at its endpoints, but splits the deltoid into two isosceles triangles.

The angles between the unequal edges are congruent.

We will prove these kite properties using triangle congruence.

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Now that we've explained the basic concept of kites in geometry, let's scroll down to work on specific geometry problems relating to this topic.

Geometry shape of a deltoid with diagonal

The Angles Between the Unequal Edges of a Kite are Congruent

diagonals of kite

The Axis of Symmetry of a Deltoid Bisects the Other Diagonal

diagonals of kite

The Diagonals of a Kite are Perpendicular to Each Other

Geometry shape of a deltoid with diagonal

Deltoids: One of the Diagonals Bisects the Angles at its Endpoints

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About

Welcome to Geometry Help! I'm Ido Sarig, a high-tech executive with a BSc degree in Computer Engineering and an MBA degree in Management of Technology. I'm here to tell you that geometry doesn't have to be so hard! My goal with this website is to help you develop a better way to approach and solve geometry problems, even if spatial awareness is not your strongest quality. Read More…

Geometry Topics

  • Area of Geometric Shapes
  • Circles
    • Arcs, Angles, and Sectors
    • Chords
    • Inscribed Shapes
    • Tangent Lines
  • Lines and Angles
    • Intersecting Lines and Angles
    • Parallel Lines
    • Perpendicular lines
  • Pentagons and Hexagons
  • Perimeter of Geometric Shapes
  • Polygons
  • Quadrangles
    • Kites (Deltoids)
    • Parallelograms
    • Rectangles
    • Rhombus
    • Squares
    • Trapezoids
  • Triangles
    • Congruent Triangles
    • Equilateral Triangles
    • Isosceles Triangles
    • Pythagorean Theorem
    • Right Triangles
    • Similar Triangles
    • Triangle Inequalities

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