It is easy to show that the opposite angles of a kite that are between the two unequal sides are congruent, using congruent triangles.ProblemABCD is a kite. Show that … [Read more...] about Properties of Kites: The Angles Between the Unequal Edges 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
A deltoid has two diagonals: One connects the two corners formed by the sides that are equal, and the other connects the two corners formed by the two unequal sides.The diagonal that connects the … [Read more...] about The Axis of Symmetry of a Deltoid Bisects the Other Diagonal
The Diagonals of a Kite are Perpendicular to Each Other
Having shown that the diagonal that connects the two corners formed by the sides that are equal bisects the angles at those corners, it is easy to show another property of the diagonals of kites- … [Read more...] about The Diagonals of a Kite are Perpendicular to Each Other
Deltoids: One of the Diagonals Bisects the Angles at its Endpoints
A deltoid is a quadrilateral with one axis of symmetry. The diagonal that connects the two corners formed by the sides that are equal creates this axis of symmetry.So we can "fold" the deltoid … [Read more...] about Deltoids: One of the Diagonals Bisects the Angles at its Endpoints