Homework 1.6 Classifying Polygons
For questions 1-6, classify each triangle by its sides and by its
angles.
1.
2.
3.
4.
5.
6.
Homework 1.6 Classifying Polygons
7. Can you draw a triangle with a right angle and an obtuse
angle? Why or why not?
8. In an isosceles triangle, can the angles opposite the congruent
sides be obtuse?
9. skip
10. skip
In problems 11-16, name each polygon in as much detail as
possible.
11.
13.
12.
Homework 1.6 Classifying Polygons
14.
15.
16.
17. Skip
18. How many diagonals can you draw from one vertex of a
pentagon? Draw a sketch of your answer.
19.How many diagonals can you draw from one vertex of an
octagon? Draw a sketch of your answer.
20. How many diagonals can you draw from one vertex of a
dodecagon?
21. Use your answers from 17-19 to figure out how many
diagonals you can draw from one vertex of an n-gon?
22. Determine the number of total diagonals for an octagon,
nonagon, decagon, undecagon, and dodecagon. Do you see a
pattern? BONUS: Find the equation of the total number of
equations for an n-gon.
Homework 1.6 Classifying Polygons
For 23-30, determine if the statement is ALWAYS true,
SOMETIMES true, or NEVER true.
23. Obtuse triangles are isosceles.
24. A polygon must be enclosed.
25. A star is a concave polygon.
26. A right triangle is acute.
27. An equilateral triangle is equiangular.
28. A quadrilateral is a square.
29. You can draw (n - 1) triangles from one vertex of a polygon.
30. A decagon is a 5-point star.