kite properties. kite competition! it’s the annual kite building competition and this year...

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Kite Properties

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Page 1: Kite Properties. Kite Competition! It’s the annual kite building competition and this year you’re going to take home first prize! Now your kite not only

Kite Properties

Page 2: Kite Properties. Kite Competition! It’s the annual kite building competition and this year you’re going to take home first prize! Now your kite not only

Kite Competition!

• It’s the annual kite building competition and this year you’re going to take home first prize! Now your kite not only needs to look good but also be geometrically correct! The Judges use to be math teachers so they are going to look to make sure your kite has all the properties it should.

Page 3: Kite Properties. Kite Competition! It’s the annual kite building competition and this year you’re going to take home first prize! Now your kite not only

What is a Kite?

• A kite is a quadrilateral with two pairs of distinct congruent consecutive sides

Page 4: Kite Properties. Kite Competition! It’s the annual kite building competition and this year you’re going to take home first prize! Now your kite not only

Let’s make a kite to explore with

• On patty paper, draw two connected segments of different lengths, as shown. Fold through the endpoints and trace the two segments on the back of the patty paper.

Page 5: Kite Properties. Kite Competition! It’s the annual kite building competition and this year you’re going to take home first prize! Now your kite not only

What are some properties of a kite?

• Explore with your kite, write down in your notebook any conjectures you come up with.

Page 6: Kite Properties. Kite Competition! It’s the annual kite building competition and this year you’re going to take home first prize! Now your kite not only

Kite Angles Conjecture

• The _________ angles of a kite are _________

Page 7: Kite Properties. Kite Competition! It’s the annual kite building competition and this year you’re going to take home first prize! Now your kite not only

Kite Diagonals Conjecture

• The diagonals of a kite are _____________

Page 8: Kite Properties. Kite Competition! It’s the annual kite building competition and this year you’re going to take home first prize! Now your kite not only

Kite Diagonal Bisector Conjecture

• The diagonals connecting the vertex angles of a kite is the _____________ of the other diagonal.

Page 9: Kite Properties. Kite Competition! It’s the annual kite building competition and this year you’re going to take home first prize! Now your kite not only

Kite Angle Bisector Conjecture

• The _________ angles of a kite are __________ by the ___________.

Page 10: Kite Properties. Kite Competition! It’s the annual kite building competition and this year you’re going to take home first prize! Now your kite not only

Let’s prove these conjectures

• Pick a conjecture and write a paragraph proof or make a flowchart proof.

Page 11: Kite Properties. Kite Competition! It’s the annual kite building competition and this year you’re going to take home first prize! Now your kite not only

Kite Angles Conjecture Proof

The non vertex angles of a kite are congruent

Page 12: Kite Properties. Kite Competition! It’s the annual kite building competition and this year you’re going to take home first prize! Now your kite not only

Kite Diagonals Conjecture Proof

The diagonals of a kite are perpendicular

Page 13: Kite Properties. Kite Competition! It’s the annual kite building competition and this year you’re going to take home first prize! Now your kite not only

Kite Diagonal Bisector Conjecture Proof

The diagonals connecting the vertex angles of a kite is the bisector of the other diagonal

Page 14: Kite Properties. Kite Competition! It’s the annual kite building competition and this year you’re going to take home first prize! Now your kite not only

Kite Angle Bisector Conjecture Proof

The vertex angles of a kite are bisected by a diagonal

Page 15: Kite Properties. Kite Competition! It’s the annual kite building competition and this year you’re going to take home first prize! Now your kite not only

Let’s build our kites

• Ok, now that you know the properties of a kite you need to make a blue print of what your kite is going to look like. Design on your piece of paper the kite you would build. Remember it has to be geometrically correct!