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Copy of Area of a Rhombus

Take a few minutes to interact with the GeoGebra applet below. After doing so, please answer the questions that follow. Note: The pink slider controls the size of the angle with pink vertex.

1.

When the triangular sections of the rhombus have been rearranged, what shape has been created?

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2.

Suppose, in the applet above, the segment with single-tick label has a length of 3 cm. Suppose the segment with the double-tick label has a length of 8 cm. What would the length and width of the shape be?

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Check my answer (3)
Watch the video below that summarises what you have just shown using the applet.

Quick (Silent) Demo

3.

The longer diagonal of a rhombus is 10 cm and the shorter diagonal is 6 cm. What will be the length and width of the rectangle that could be created using the method above?

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4.

Suppose a rhombus has diagonal lengths labeled and . Write an expression for the area of this rhombus in terms of & .

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