Chapter 10.3, Problem 5ST1

To determine

To draw: the line segment $\overline{AB}$ and to construct the rectangle $JKLM$ .

Explanation of Solution

Given information:

The given information is $JK=2AB,KL=AB$ .

Draw the line segment $\overline{AB}$

  

Procedure to construct the rectangle$JKLM$:

• Draw the line $JK=2AB$ and extend it.
• With K as centre draw two arcs intersecting the line $JK$ at two points X and Y.
• With X and Y as centers draw two arcs intersecting at point Z.
• Draw the line $KZ.$
• With J and K as centers draw two arcs, one is intersecting on line $KZ.$ Label as point L.
• With L as centre and radius $AB$ draw an arc intersecting at point M.
• Draw the lines $LM\&JM.$
• The rectangle $JKLM$ is formed.

The rectangle $JKLM$ is shown below.

  

Hence, the line segment $\overline{AB}$ and rectangle $JKLM$ are constructed.