A kite is a quadrilateral with two pairs of sides that are equal. A kite has four internal angles, two of these are the opposite angles between the unequal edges, and two are the opposite angles … [Read more...] about The Angles Between the Unequal Edges of a Kite are Congruent
Kites (Deltoids)
A kite, also called a deltoid, is a quadrilateral in which there are two pairs of adjacent edges that are equal.
The diagonals of a kite are perpendicular to each other and bisect each other.
The diagonal which connects the two corners between the equal edges also bisects the angles at its endpoints.
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.
The Axis of Symmetry of a Deltoid Bisects the Other Diagonal
In today's lesson, we will prove that the diagonal of a kite which forms the axis of symmetry (connecting the two corners formed by the equal sides) bisects the other diagonal. As you probably … [Read more...] about The Axis of Symmetry of a Deltoid Bisects the Other Diagonal
The Diagonals of a Kite are Perpendicular to Each Other
We have already shown that the diagonal that connects the two corners formed by the sides that are equal bisects the angles at those corners. So it is now easy to show another property of the … [Read more...] about The Diagonals of a Kite are Perpendicular to Each Other
Deltoids: One of the Diagonals Bisects the Angles at its Endpoints
Today we will prove one of the properties of deltoids. We will show that one of the diagonals in deltoids bisects the angles at its endpoints. A deltoid is a quadrilateral with one axis of … [Read more...] about Deltoids: One of the Diagonals Bisects the Angles at its Endpoints