draw a kite inside a rectangle. label your diagram accordingly. derive the formula for the area of a kite using your diagram, the formula for area of a rectangle, and transformations. write a paragraph proof describing the derivation of the formula for the area of a kite.

Question

anonymous · Answer

My diagram.

anonymous · Answer

Help @ranga

anonymous · Answer

@whpalmer4

anonymous · Answer

I'm fine if you just give a 2 column proof and let me turn it into a paragraph proof.

whpalmer4 · Answer

Here's a hint: what if you slice the kite into pieces along its major and minor axes.  Can you reassemble them into a different shape or shapes where you know how to find the area?

anonymous · Answer

I don't get it.

anonymous · Answer

@agent0smith sorry, can you help me again?

whpalmer4 · Answer

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Look at the two triangles that make up the top of the kite.  Now look at the two triangles that are left behind, if you cut the kite out of that rectangle.  The are the same size and shape as the two triangles that make up the top of the kite!  A similar argument applies to the bottom of the kite.

whpalmer4 · Answer

What is the formula for the area of a kite?