<PRE><B>Question 689034</B>
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Use the slope formula to calculate the slope of the diagonals., EG and FH.  *[tex \LARGE m\ =\ \frac{y_1\ -\ y_2}{x_1\ -\ x_2} ].  If the two slopes are negative reciprocals, then the figure is either a rhombus or a square.  If not, then since rectangle is the only other choice, it must be a rectangle.


If it is a rhombus or a square, use the distance formula:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ d\ =\ sqrt{(x_1\ -\ x_2)^2\ +\ (y_1\ -\ y_2)^2}]


to find the measure of each of the diagonals.  If they are equal, you have a square (and a rectangle actually -- ALL squares are rectangles), but if they are different it is a rhombus.


John
*[tex \LARGE e^{i\pi}\ +\ 1\ =\ 0]
&lt;font face=&quot;Math1&quot; size=&quot;+2&quot;&gt;Egw to Beta kai to Sigma&lt;/font&gt;
My calculator said it, I believe it, that settles it
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