Rhombus

[color=#cc0000][b]Students: [/b][/color][br][br]The applet below contains a quadrilateral that [color=#1e84cc][b]ALWAYS remains a rhombus.[/b][/color] [br]Be sure to move the BIG BLUE VERTICES of this rhombus around as you answer each investigation question!

[color=#1155cc]Which of the following statements is true about the diagonals of a rhombus? [/color]

Both the diagonals are equal i.e. AC = BD. Segments of diagonals are equal i.e. each diagonal is divided into two equal halves.

[color=#0000ff]Observe [/color][math]\angle ABC[/math][color=#0000ff] , [/color][math]\angle BCD[/math][color=#0000ff] , [/color][math]\angle CDA[/math][color=#0000ff] and [/color][math]\angle DAB[/math][color=#0000ff] in the above applet. What do you observe?[/color][br]

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[color=#0000ff]What is true about the sides of a rhombus?[/color]

All sides are equal. Adjacent sides are equal Opposite sides are equal. All of the above.

[color=#0000ff]See the measure of the angles made at the point of intersection of the diagonals. What do you observe?[/color]

[color=#0000ff]Is a rhombus a parallelogram? Give three reasons to support your answer.[/color]

Rhombus

Information: Rhombus