Drawing different nonconvex polygons


Assignment:

Q1. On a sheet of dot paper or on a geoboard like the one shown, create the following:
a. Right angle
b. Acute angle
c. Obtuse angle
d. Adjacent angles
e. Parallel segments

Intersecting segments

565_Geoboard.JPG

Q2. On a geoboard or dot paper. consttuct each of the following:

a. A scalene triangle   

b. An obtuse triangle

c. An isosceles trapezoid

d. A nonisosceles trapezoid

e. A convex hexagon   

f. A concave quadrilateral

g. A parallelogram   

h. A rhombus which is not a swore.

136_Geoboard.JPG

Q3. Draw three different nonconvex polygons. When you walk around a polygon. at each vertex you need to turn either right (clockwise) or left (counterclockwise). A turn to the left is measured by a positive number of degrees and a turn to the right by a negative number of degrees. Find the sum of the measures of the turn angles of the polygons you drew. Assume you start at a vertex facing in the direction of a side, walk wound the polygon. and end up at the same vertex facing in the same direction as when you started.

Q4. A diagonal of a prism is any segment determined by two vertices that do not lie in the same face, as shown in the following figure.

1688_Box.JPG

Complete the following table showing the total number of diagonals for various prisms:

827_Prism.JPG

Provide complete and step by step solution for the question and show calculations and use formulas.

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Mathematics: Drawing different nonconvex polygons
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