Area of a Kite

Author:
Miss Deitz
Topic:
Area, Kite
Use the figure below to answer the following questions.
Use sliders a and b to change the side lengths of the kite. Use the sliders to rotate all four triangles. Note: To use each slider, drag the point along the line.
  1. Rotate all four triangles:What shape does the kite and four triangles form?
  2. What is the area of this shape, in terms of d1 and d2? (Note: d1 and d2 represent the diagonals of the kite.)
  3. Write a formula for the area of kite ABCD in terms of d1 and d2. (Hint: Area of Kite = Area of Rectangle - Area of (Blue) Triangles )