4-9. When the length of the sides are not known,    for which of the following geometric figures is it necessary to equally divide the circumference of the circle by trial and error with a compass? 1. A 5-sided irregular polygon inscribed  in  a  given  circle 2. A 5-sided regular polygon inscribed in a given circle 3. A  5-sided  polygon  inscribed  on  a given circle 4. Both 2 and 3 above 4-10. When two diameters of a circle are at right angles to each other, in which of the following geometric figures are all of the sides then drawn at 45°  angles  to  the  diameters? 1. A hexagon inscribed in a given circle 2. An octagon inscribed in a given circle 3. A pentagon inscribed in a given circle 4. A square inscribed in a given circle 4-11.  In  which  of  the  following  geometric figures are two of the sides drawn at 60°  to  the  horizontal  diameter  of  a given  circle? 1. An equilateral triangle in a given circle 2. An equilateral triangle on a given circle 3. Both 1 and 2 above 4-12. Which of the following regular polygons may be constructed with only the length of one side given? 1. 5-sided  polygon 2. 7-sided  polygon 3. 9-sided  polygon 4. All of the above 4-13. Assume that you have drawn a hexagonal bolt head from the given distance between its opposite corners. On  the  drawing,  this distance is equal to the 1. diameter of the circle inscribed in  the  hexagon 2. diameter of the circle circumscribing the hexagon 3. diagonal of the square circumscribing the hexagon 4. side of the square circumscribing the hexagon 4-14. In the construction of a circle that is to pass through three given points,    the center of the circle is determined by the intersection of what  lines? 1. The perpendicular bisector of the longest line and the perpendicular line drawn from the end of the shortest line 2. The perpendicular bisector of the shortest line and the perpendicular line drawn from the end of the longest line 3. The perpendicular bisectors of the lines that connect the points 4. The tangents drawn through each point 4-15. To construct a line tangent to a circle at a given point on the circle,    first  set  the  compass 1. equal to the diameter of the circle 2. equal to the radius of the circle 3. to a distance less than the radius  of  the  circle 4. to a distance greater than the radius and less than the diameter of the circle 4-16. To draw an arc of a given radius tangent to the sides of any angle, one of the essential steps of the procedure is to construct what two lines? 1. Two nonparallel lines at right angles to the sides of the angle 2. Two lines that are parallel to the sides of the angle at a distance equal to one half of the  given  radius 3. Two lines that are parallel to the sides of the angle at a distance equal to the given radius 4. Two parallel lines at right angles to the sides of the angle 4-17. In  textbook  figure  4-39,  the  radius O’P is equal to what distance? 1. Double the radius OP 2. The radius OP plus the radii of arcs CD and EF 3. The radius of arc CD plus AB 4. The radius of arc EF plus AB 23