# help rhombus

• October 12th 2007, 12:28 PM
help rhombus
al says "if <a <b <c <d is a parallelogram, then ABCD is a rhombus" sketch a quadrillateral ABCD that shows that als statement is not always true. the sketch must show the length of each side & the measure of each angle of the quad. you draw. explain.
• October 12th 2007, 01:04 PM
Soroban

Quote:

Al says: "If <a <b <c <d is a parallelogram, then ABCD is a rhombus".
Sketch a quadrillateral ABCD that shows that Al's statement is not always true.
The sketch must show the length of each side & the measure of each angle
of the quadrilateral you draw. Explain.

A rhombus has four equal sides.

We have parallelogram $ABCD$
Code:

```          A      8      B           * - - - - - - - *         / 120°      60°/       3 /              / 3       /60*        120*/       * - - - - - - - *       D      8      C```
but it does not have four equal sides.

It is not a rhombus. .Al is wrong . . .