Copy of Area of a Kite - Exploration

Use this worksheet to find the area of a kite.

Use sliders a and b to change the side lengths of the kite. Use the sliders to rotate all four triangles.

1. What new shape does the kite and the four triangles form?

kite trapezium parallelogram rectangle

2. What is the length and the width of the combined figure in terms of d1 and d2?

length = d1+d2, width =d2 length=d1 [math]\times[/math] d2, width = d1 length = d1, width=d2 length = 2 [math]\times[/math]d2, width =2 [math]\times[/math]d1

3. Write a formula for the area of the combined figure in terms of d1 and d2.

2d1+2d2[br] 2 [math]\times[/math]d1 [math]\times[/math]d2 d1+d2 d1 [math]\times[/math] d2

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?)

[math]\frac{\left(d1+d2\right)}{2}[/math] [math]\frac{\left(d1\times d2\right)}{2}[/math] d1+d2 [math]\frac{1}{2}\left(d1\times d2\right)[/math]

Copy of Area of a Kite - Exploration

Use sliders a and b to change the side lengths of the kite. Use the sliders to rotate all four triangles.

Information: Copy of Area of a Kite - Exploration