1. Divide a line 7 11/16 inches long into 9 equal parts.

2. A circle has a diameter of 7 inches. What is the length of one side of a regular polygon of 13 sides inscribed in it?

3. Put a circular plate on your paper and carefully draw a pencil line around it. Now ink in this circle with you pen compass.

4. With the aid of the compasses and French curve, draw the following ellipses:

Major axis 6 inches, minor axis 4 inches. Major axis 8 inches, minor axis 3½ inches.

5. With your T-square and two triangles, draw a regular hexagon and a regular octagon.

6. Using your protractor draw the following angles:

48° 57° 113° 139° 247°

7. Make rough pencil drawings of the following perspectives:

1. A table in angular perspective below the eye level.
2. A cylindrical can above the eye level.
3. A number of railroad tracks in parallel perspective.
4. A chair, a desk and a book on the desk in angular perspective below the eye level. Use three different vanishing points.

8. What is the difference between:

1. A trapezoid and a rhomboid?
2. A parallelogram and a quadrilateral?
3. A square and a rectangle?

9. Draw in pencil the following geometric figures:

1. A truncated right cone.
2. A right rectangular pyramid.
3. A right hexagonal prism.
4. An oblique cone.

10. Identify the lines shown in Figure 43.

11. A wooden block 2x4x8 inches has a hole 3 inches in diameter bored through its center. Draw this in isometric.

12. Name the conic sections and tell how they are produced from a cone.

13. Rearrange the following statements in their correct order. They are not in the right order now: (The first is given to you.)

a. Ink in all vertical full lines.
b. Ink in all small circles and arcs.
c. Ink all dotted lines.
d. Letter in all dimensions and other lettering.
e. Ink in all dotted circles and arcs.
f. Ink in all horizontal lines.
g. Ink in section lines, if any.
h. Ink in all compound curves,
i. Ink in the dimension lines,
j. Ink in all dotted lines.
k. Ink in all extension lines.
1. Ink in all large circles and large arcs.
m. Ink in center line.
n. Ink in border with heavy line.

14. What is the shape of the section which results from cutting a pyramid in half vertically? Horizontally? Slantingly?

15. Which of the following "DON'TS" are correct and which are not:

1. DON'T fill the ruling pen too full.
2. DON'T let the ink dry in the ruling pen.
3. DON'T use a scale to measure with.
4. DON'T rule with the pen close to the T-square. Slope it away from the T-square.
5. DON'T let the ink dry on the drawing; use a blotter.
6. DON'T have the prongs of the ruling pen tight against each other.

ANSWERS TO LESSON 7

 
1. A rhomboid is a parallelogram; a trapazoid is not.

2. Any triangle with two equal sides. A five sided figure. A five sided figure all of whose sides are equal. A rectangle with equal sides.

3. A rhombus is a rhomboid with equal sides.

4. A parallelogram is any four sided figure whose opposite sides are equal and parallel. A quadrilateral is any four sided figure.
 
5. a and c.

6. 108° 135C   120c    144C  

7. The section parallel to the side of the cone. The section NOT parallel to any side or base.

9. Draw the two diagonals. Where they intersect is the center.

10. Any angle less than 90°. Any angle greater than 90°. 90°