A S S I G N M E N T 4Textbook Assignment: “Geometrical Construction.” Pages 4-1 through 4-16. “Drafting:”Projections and Sketching.”Pages 5-1 through 5-37.4-1.What is the first step in drawing aline through a given point, P,parallel to line XY?1.Place compass needlepoint on P;strike an arc intersecting XY atany point2.Place compass needlepoint on P;strike an arc intersecting theapproximate midpoint of line XY3.Place compass needlepoint on anypoint along line XY; strike anarc through point P and line XY4.Place compass needlepoint on X;strike an arc through Y and nearpoint P4-2.To construct a perpendicular from agiven point, P, on line XY, youshould first place the compass needleat what point(s) ?1. P2.X or Y3.A point near the midpoint of PXand PY4.Any convenient point along XY4-3.What points on a line should be usedas centers for the intersecting arcsdrawn to bisect the line?1.The center and one end2.A random point and one end3.A random point and the center4.The two ends4-4.Line XY is to be divided into 12equal parts by geometricconstruction.Which of the followingstatements concerning this procedureis correct?1.Ray line PY, drawn from Y, is thesame length as XY2.A compass should be set to spreadequal to one twelfth of thelength of XY3.A line should be drawn from X tothe 12th interval on ray line PY4.The acute angle formed by XY andray line PY should be 30° or less4-5.From what point should you carry outthe first step of the procedure tobisect or transfer angle XYZ?(Always use the middle letter as theapex. )1.A random point on XY2.A random point on YZ3.The apex Y4.The midpoint of arc XZ4-6.In which, if any, of the followingconstructions is it necessary todraw an angle by using a protractor?1.Constructing an equilateraltriangle on a given inscribed .circle2.Constructing a right trianglefor which the hypotenuse and oneside are given3.Constructing an equilateraltriangle for which the length ofone side is given4.None of the above4-7.Which of the following actionsshould be your first step inconstructing a square geometricallywhen you are given only the lengthof its diagonal?1.Lay out a horizontal line equalto one half of the given length2.Lay out a vertical line equal toone half of the given length3.Lay out a horizontal line equalto twice the given length4.Lay out a horizontal line equalto the given length4-8.In completing the drawing of acertain geometric figure, you havedrawn the sides of the figuretangent to the points where twodiameters (at right angles to eachother) intersect a given circle.What geometric figure have youdrawn?1.A square in a givencircumscribed circle2.A square on a given inscribedcircle3.An equilateral triangle in agiven circumscribed circle4.An equilateral triangle on agiven inscribed circle22

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