Polygon Quiz: vocabulary and angle measures
4/13/12
Name___________________________
Show your work. Total number of possible points: 30 your score _____________
1. Explain why the figure shown does not satisfy the definition of a polygon.
2. Sketch a polygon that is not convex and is a pentagon.
3. Give the number of sides for each of these polygons:
i) Hexagon_____________
ii) Heptagon____________
iii) Dodecagon____________
iv) 120 – gon _____________
4. What properties of a polygon make it regular? Sketch and label an example.
5. Solve for x and y. Make sure you show how you are arrived at your answers.
131°
x°
119° y°
56°
6. How many degrees are there in the sum of the interior angles of a nine sided polygon?
7. How many sides does a polygon have if the sum of its interior angles is 2160°?
8. How many degrees are there in the sum of the exterior angles of a dodecagon ?
9. Sketch quadrilateral ABCD and label the interior angles with these measures:
Use this information to find the value of x.
mA  650
mB  2 x
mC  4 x  15
mD  3 x  20
10. Sketch a pentagon that is equilateral but not equiangular.
11. If each exterior angle of a regular polygon contains 20º, how many sides does the
polygon have?
12. What is the measure of each exterior angle of a stop sign?
13. How many sides does a regular polygon have if each interior angle is 175º?
14. What is the definition of a diagonal?
15. How many diagonals can be drawn from each vertex of a nonagon?
16. Explain how to find the sum of all the interior angles of a polygon with n sides.
17. If a polygon has 6 sides, a total of how many diagonals can be drawn?
18. Make a sketch of your favorite polygon.