Quadrilaterals Worksheet With Answers Page 36

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Explorations
1. We know that the diagonals of a rhombus bisect each other since a rhombus
has the properties of a parallelogram. But, is there another relationship
between the diagonals that is unique to a rhombus? Make a conjecture below.
Conjecture: __________________________________________________
2. Test this conjecture using a TI-83+ graphing calculator with Cabri Junior™.
a) Construct a rhombus and its diagonals on the viewing screen.
b) Measure each of the angles and round to the nearest degree.
c) How do the results compare with the conjecture made?
These results lead us to the following theorem about the diagonals of a rhombus.
Theorem
The diagonals of a rhombus are perpendicular.

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