Module 1—Polygons
Part 1
1. Write the name of the polygon that reflects the number of sides in each
diagram.
a.
Quadrilateral
Polygon Names
Triangle
Quadrilateral
Pentagon
Hexagon
Heptagon
Octagon
Nonagon
Decagon
Dodecagon
b.
Nonagon
c. Pentagon
2. Determine the number of diagonals from each vertex. Determine the total number of
diagonals. Then draw the diagonals.
a.
2_____________
____________
b. 7____________
____________
c.
5____________
____________
3. Determine the number of sides. Identify the polygon as regular or irregular and write its
name. Name the congruent sides
a. Regular Polygon
5
E
A
D
B
b. Irregular Polygon
C
P
N
M
O
4. Name the polygon figured below. OLNM
L
O
M
N
5. Explain why ABDC is an inaccurate name for the polygon in the figure below.
you either go counter-clockwise or clockwise
A
B
D
C
Because
6. Explain why STUVWXYZ in the following diagram is not a polygon. Because in a real
polygon sides only intersect at their end points and in this case the sides don’t all intersect
at their end points.
S
T
X
Z
W
Y
U
V
7. Explain why the polygon below is convex. Because any diagonals drawn would be
within the polygon.
8. Explain why the polygon below is not convex. Because if you draw a diagonal the points
on a line segment are outside the polygon.
9. Draw two hexagons: one that is regular and one that is not. Explain your answer.
This one is irregular because all of the sides and
This one is regular because all
angles are different measures.
of the sides and angles are the
same measure.
10. How many diagonals are in a convex pentagon? 5
11. Complete the following statement:
A convex octagon has ______20________ diagonals that divide the interior of the octagon into
_______40____ non-overlapping triangles.