Kite Properties - Concept

Explanation

Knowing the properties of a kite will help when solving problems with missing sides and angles. Kite properties include (1) two pairs of consecutive, congruent sides, (2) congruent non-vertex angles and (3) perpendicular diagonals. Other important polygon properties to be familiar with include trapezoid properties, parallelogram properties, rhombus properties, and rectangle and square properties.

Transcript

There are a couple of key facts about kites
that will help you solve problems
when you have missing sides
or missing angles.


The first key part about how to identify a
kite is you have two pairs of consecutive
congruent sides.
Not opposite like in a parallelogram
or a rectangle.
Notice, we have two consecutive sides
here and they're both congruent.
But these two sides are not
congruent to this pair.
That's the first key thing about a kite.


The second key thing is the nonvertex
angles are congruent.
So if you want to call this angle a vertex
angle, and this angle a vertex angle,
then these two non-vertex angles
will always be congruent.


The third key thing is that the
diagonals are perpendicular.
So if I drew in a diagonal between the vertices
and between the nonvertex angles,
these two will intersect
at a 90-degree angle.


Another key fact about this is that this
diagonal between the two non-vertex
angles is bisected by
this longer diagonal.
So a couple key things to remember when
you are trying to solve problems that
involve a kite.


And one other thing that I forgot to mention
is that this vertex angle is bisected
by this diagonal.
This vertex angle is also bisected but not
necessarily congruent to this angle.


So a lot going on in a kite.
We've got diagonals that are
perpendicular to each other.
This diagonal was bisected, the angles
in the vertex are bisected, and we've
got two pairs of consecutive
congruent sides.

Tags
kite diagonals consecutive sides vertex angle non vertex angle bisect perpendicular