Brian McCall

**Univ. of Wisconsin**

J.D. Univ. of Wisconsin Law school

Brian was a geometry teacher through the Teach for America program and started the geometry program at his school

Share

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.

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.