Use this worksheet to find the area of a kite.

Use this worksheet to find the area of a kite.

Use sliders a and b to change the side lengths of the kite.[br]Use the sliders to rotate all four triangles.[br]1. What shape does the kite and the four triangles form?[br]2. What is the length of the sides of the combined figure in terms of d1 and d2?[br]3. Write a formula for the area of the combined figure in terms of d1 and d2.[br]4. Write a formula for the area of kite ABCD in terms of d1 and d2. (Hint: What is the relationship between the area of the original kite and the area of the new figure formed by rotating the triangles?)

Use sliders a and b to change the side lengths of the kite.[br]Use the sliders to rotate all four triangles.[br]1. What shape does the kite and the four triangles form?[br]2. What is the length of the sides of the combined figure in terms of d1 and d2?[br]3. Write a formula for the area of the combined figure in terms of d1 and d2.[br]4. Write a formula for the area of kite ABCD in terms of d1 and d2. (Hint: What is the relationship between the area of the original kite and the area of the new figure formed by rotating the triangles?)