Exercise 38 Page 388

We want to construct a rhombus with side lengths of 10 millimeters. We can recall that a rhombus has four congruent sides. First, we can draw the 10-millimeter side using a ruler.

We can determine the position of the third vertex in

1. Open the compass to 10 millimeters.
2. Put the compass at one of the vertices and draw an arc.
3. Choose an arbitrary point on the arc and mark it as vertex D.

   Let's do it!

   

   Next, we can draw an arc with the compass open to 10 millimeters. Remember to put the compass at our arbitrary vertex D.

   

   Finally, we can determine the position of the fourth vertex. We can do so by putting the compass at vertex B and drawing an arc.

   

   The fourth vertex is the point of intersection between the two arcs. Finally, we can draw our rhombus.

   

   Note that this graph is one of many possible solutions.