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# Kite Properties - Concept

###### Brian McCall

###### 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

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.

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###### Brian McCall

B.S. in Chemical Engineering, University of Wisconsin

J.D. University of Wisconsin Law School (magna cum laude)

He doesn't beat around the bush. His straightforward teaching style is effective and his subtle midwestern accent is engaging. There's never a dull moment with him.

so my teacher can't explain this in 5 weeks but I learn this in less than 3 minutes”

its hard to focus when the teacher is really really really goodlooking”

i like how it took you 3 minutes and 8 seconds to accomplish what my teacher couldn't in 3 days”

##### Concept (1)

##### Sample Problems (3)

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## Comments (1)

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## Oscar · 4 months, 4 weeks ago

Wonderful explanation of the properties! You are a bit too serious though; I'd appreciate it if you "smiled" time to time. But you are a great teacher, overall! :P