Download Geometry - Sidwell Friends

Geometry
Polygons #1
1.
What is the sum of the measures of the interior angles of a dodecagon (12 sided polygon)?
2.
An equilateral polygon is a polygon in which all sides are congruent. An equiangular
polygon is one in which all angles are congruent. A regular polygon is one that is both
equilateral and equiangular.
a) What is the common name for a regular quadrilateral?
b) Draw an equiangular hexagon that isn't equilateral.
3.
An equilateral hexagon and a regular pentagon overlap as shown. Find the measures of
each of the six angles of the hexagon.
1/3
4.
Find the measure of each angle in a regular hexagon.
5.
𝑚∠𝐹𝐷𝐸 = 𝑚∠𝐷𝐸𝐻 = 𝑚∠𝐹𝐺𝐻 = 90°, ∠𝐹 ≅ ∠𝐻, 𝑚∠4 = 𝑚∠5 = 80°. What is 𝑚∠1?
G
1
3
2
H
F
5
4
E
D
6.
In the following diagram, AB is parallel to ED . Find the measure of CDE .
A
B
125
107
C
59
E
D
2/3
Given the two angle bisectors and the measurement of ∠𝐷 shown, determine the
measurement of ∠𝐶.
7.
D
40°
C
A
B
E
3/3