4-9.When the length of the sides are notknown, for which of the followinggeometric figures is it necessary toequally divide the circumference ofthe circle by trial and error with acompass?1.A 5-sided irregular polygoninscribed in a given circle2.A 5-sided regular polygoninscribed in a given circle3.A 5-sided polygon inscribed on agiven circle4.Both 2 and 3 above4-10.When two diameters of a circle are atright angles to each other, in whichof the following geometric figuresare all of the sides then drawn at45° angles to the diameters?1.A hexagon inscribed in a givencircle2.An octagon inscribed in a givencircle3.A pentagon inscribed in a givencircle4.A square inscribed in a givencircle4-11. In which of the following geometricfigures are two of the sides drawn at60° to the horizontal diameter of agiven circle?1.An equilateral triangle in agiven circle2.An equilateral triangle on agiven circle3.Both 1 and 2 above4-12.Which of the following regularpolygons may be constructed with onlythe length of one side given?1.5-sided polygon2.7-sided polygon3.9-sided polygon4.All of the above4-13.Assume that you have drawn ahexagonal bolt head from the givendistance between its oppositecorners.On the drawing, thisdistance is equal to the1.diameter of the circle inscribedin the hexagon2.diameter of the circlecircumscribing the hexagon3.diagonal of the squarecircumscribing the hexagon4.side of the square circumscribingthe hexagon4-14.In the construction of a circle thatis to pass through three givenpoints, the center of the circle isdetermined by the intersection ofwhat lines?1.The perpendicular bisector ofthe longest line and theperpendicular line drawn fromthe end of the shortest line2.The perpendicular bisector ofthe shortest line and theperpendicular line drawn fromthe end of the longest line3.The perpendicular bisectors ofthe lines that connect thepoints4.The tangents drawn through eachpoint4-15.To construct a line tangent to acircle at a given point on thecircle, first set the compass1.equal to the diameter of thecircle2.equal to the radius of thecircle3.to a distance less than theradius of the circle4.to a distance greater than theradius and less than thediameter of the circle4-16.To draw an arc of a given radiustangent to the sides of any angle,one of the essential steps of theprocedure is to construct what twolines?1.Two nonparallel lines at rightangles to the sides of the angle2.Two lines that are parallel tothe sides of the angle at adistance equal to one half ofthe given radius3.Two lines that are parallel tothe sides of the angle at adistance equal to the givenradius4.Two parallel lines at rightangles to the sides of the angle4-17.In textbook figure 4-39, the radiusO’P is equal to what distance?1.Double the radius OP2.The radius OP plus the radii ofarcs CD and EF3.The radius of arc CD plus AB4.The radius of arc EF plus AB23