A S S I G N M E N T  4 Textbook  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 a line through a given point, P, parallel to line XY? 1. Place  compass  needlepoint  on  P; strike  an  arc  intersecting  XY  at any  point 2. Place compass needlepoint on P; strike  an  arc  intersecting  the approximate midpoint of line XY 3. Place compass needlepoint on any point along line XY; strike an arc through point P and line XY 4. Place  compass  needlepoint  on  X; strike an arc through Y and near point P 4-2. To construct a perpendicular from a given point,    P, on line XY, you should first place the compass needle at what point(s) ? 1.   P 2. X or Y 3. A point near the midpoint of PX and PY 4. Any convenient point along XY 4-3. What points on a line should be used as  centers  for  the  intersecting  arcs drawn to bisect the line? 1. The center and one end 2. A random point and one end 3. A random point and the center 4. The two ends 4-4. Line XY is to be divided into 12 equal  parts  by  geometric construction. Which  of  the  following statements  concerning  this  procedure is correct? 1. Ray line PY,   drawn from Y, is the same length as XY 2. A compass should be set to spread equal to one twelfth of the length of XY 3. A line should be drawn from X to the 12th interval on ray line PY 4. The acute angle formed by XY and ray line PY should be 30° or less 4-5. From what point should you carry out the first step of the procedure to bisect  or  transfer  angle  XYZ? (Always use the middle letter as the apex. ) 1. A random point on XY 2. A random point on YZ 3. The apex Y 4. The midpoint of arc XZ 4-6. In which,    if any, of the following constructions is it necessary to draw an angle by using a protractor? 1. Constructing  an  equilateral triangle  on  a  given  inscribed  . circle 2. Constructing  a  right  triangle for which the hypotenuse and one side are given 3. Constructing  an  equilateral triangle  for  which  the  length  of one side is given 4. None of the above 4-7. Which of the following actions should be your first step in constructing a square geometrically when you are given only the length of  its  diagonal? 1. Lay out a horizontal line equal to one half of the given length 2. Lay out a vertical line equal to one half of the given length 3. Lay out a horizontal line equal to  twice  the  given  length 4. Lay out a horizontal line equal to the given length 4-8. In completing the drawing of a certain geometric figure, you have drawn the sides of the figure tangent to the points where two diameters (at right angles to each other)  intersect  a  given  circle. What geometric figure have you drawn? 1. A square in a given circumscribed   circle 2. A square on a given inscribed circle 3. An equilateral triangle in a given circumscribed circle 4. An equilateral triangle on a given  inscribed  circle 22