Download polygons

Name: __________________________ Period: _____ Date: __________
Geometry – Mini Lesson #10:
Polygons
Definition
Examples
Non examples
These two segments are
congruent; they are the
same size.
These two segments are
not congruent; they are not
the same size.
Note: the angles are
marked to show that they
are congruent.
These angles are not equal;
two are obtuse, one is
right, one is acute.
Note: the sides are marked
to show that they are
congruent.
These sides are not all
equal.
Polygon – a simple
closed figure formed by
3 or more line
segments that do not
intersect except at their
endpoints
Congruent –
measuring the same;
equal
Equiangular – having
congruent angles;
angles with the same
measurement
Equilateral – having
congruent sides; sides
with the same
measurement
Regular polygon – a
polygon that is
equiangular and
equilateral; a polygon
with all sides equal and
all angles equal
Directions: Use the definitions on the previous page to draw an example and
non example of each:
Example
1.
Five sided polygon
2.
Equilateral 4-sided figure
3.
Equiangular 4-sided figure
Non example

Directions: Determine whether or not each of the symbols is a polygon. If the
figure is not a polygon, explain why it is not.
Polygon?
(yes or no)
4.
5.

6.
7.

8.

9.
Explanation
Directions: Complete the two questions below given that this polygon is a
regular pentagon.
1
10. If m1 = 108, then m4 = _______________. 
1.5 in
2
5
3
11. One side measures 1.5 inches long. How long is
4
the side adjacent to it? ________________.


Directions: Complete the following questions for each regular polygon.

12.
D
V
A
X
R
13.
T
14.
M
Y
W

B
L
K
L
U
Z
BT = 5 m; mD = 120°
RL = 7” ; K is a right angle
WU = 1 m ; mY = 108°
VM = ________
AK = ________
XY = ________



mT = ______

mA = ______
mW = ______


B
N
15.

A
16.
C
M
P
T
Q
S
R
BC = 3 cm; mA = 60°
PQ = 4” ; mS = 135°
AC = ________
ST = ________


mB = ______

O
mN = ______

17. In the diagrams for problems 12 through 16, mark each to show that the
polygon is regular.