Name_____________________________________ Math 2 October 24, 2016 Notes on Kites

Kites A kite is a quadrilateral that has

Conjectures about Kites: 1. Theorem: One diagonal of a kite is the perpendicular bisector of the other. Given: Kite ABCD diagram: Prove: AD is the perpendicular bisector CB Proof:

Statement Reason 1. 1. Given

2. AC ≅ AB ;BD ≅CD

2.

3. A is on the perpendicular bisector of CB D is on the perpendicular bisector of CB

3.

4. AD is the perpendicular bisector CB 4. If two points are each equal distant from the endpoints of a segment they determine the perpendicular bisector of that segment.

D

C

B

A

D

C

B

A

2

2. Theorem: One of the diagonals of a kite bisects a pair of opposite angles. Given: diagram: Prove: Proof:

Statement Reason 1.

1.

2.

2.

3.

3.

4.

4.

3. Theorem: One pair of opposite angles of a kite are congruent. Given: diagram: Prove: Proof:

Statement Reason 1.

1.

2.

2.

3.

3.

4.

4.

HW: Pg. 512 # 12 – 19

D

C

B

A

D

C

B

A