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Kites & Trapezoids. Objective: Discover properties about kites & trapezoids. Vertex angles. Kite:. A quadrilateral with exactly two distinct pairs of congruent consecutive sides. K. I. 1. Construct a kite. 2. Label the vertex angles K and T Label non-vertex angles I and E

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kites trapezoids

Kites & Trapezoids

Objective:

Discover properties about kites & trapezoids

slide2

Vertex angles

Kite:

A quadrilateral with exactly two distinct pairs of congruent consecutive sides.

K

I

1. Construct a kite.

2. Label the vertex angles K and T Label non-vertex angles I and E

3. Measure and compare all angles

4. Draw the diagonals

5. Look for any relationships(hint: there are 3 different relationships to find.)

E

T

Kite Diagonal Bisector Conjecture

The diagonal connecting the vertex angles of a kite is the _____________________ of the other diagonal.

Kite Angles Conjecture

The __________ angles of a kite are __________.

Kite Diagonals Conjecture

The diagonals of a kite are ______________.

Kite Angle Bisector Conjecture

The _______ angles of a kite are ________ by a ________.

perpendicular

vertex bisected diagonal.

nonvertex congruent

perpendicular bisector

slide3

Kite Angles Conjecture

The __________ angles of a kite are __________.

nonvertex congruent

Kite Diagonals Conjecture

The diagonals of a kite are ______________.

perpendicular

Kite Diagonal Bisector Conjecture

The diagonal connecting the vertex angles of a kite is the _____________________ of the other diagonal.

perpendicular bisector

Kite Angle Bisector Conjecture

The _______ angles of a kite are ________ by a ________.

vertex bisected diagonal.