# Kite Worksheet

Topic:
Kite

## Investigation 1

1. Look at angle CDA. How does it compare with angle CBA? 2. Move point A until angle CDA is 150 degrees. 3. Move point A everywhere over the applet multiple times. As you move point A, compare and explain the relationship between segment BA and DA. 4. Make a conjecture about the lengths of segments BA and DA. 5. If angle CDA was 120 degrees, what would be the size of angle CBA? Use the applet to check your answer. 6. Make a conjecture about the angle measures of angles CDA and CBA.

## Investigation 2

1. Look at angle BCD. How does it compare with angle BAD? 2. Move point C until angle CDA is 150 degrees. 3. As you move point C, compare and explain the relationship between segment BC and CD. 4. If segment CD had a length of 10, what would be the length of segment BC? Use the applet to check your answer. 5. Make a conjecture about the lengths of segments BC and CD.

## Investigation 3

1. Move point C until angle BCD is 70 degrees. What is the length of segment DE? BE? 2. Move point B until angle ABC is 130 degrees? What is the length of segment DE? BE? 3. As you move point C and point B, compare and explain the relationship between segment BE and DE. 4. Make a conjecture about the lengths of segments BE and DE.