7.3 Formulas Involving Polygons
Learner Objective: I will use formulas for the sum of the interior angles, the sum of the exterior angles and the number of diagonals of a polygon to
solve problems involving polygons.
Learner Objective: I will use formulas for the sum of the interior angles, the sum of the exterior angles and the number of diagonals of a polygon to
solve problems involving polygons.
Number of Sides
(or Vertices)
Polygon
Number of Sides
(or Vertices)
n n-gon
3 Triangle
4 Quadrilateral
5 Pentagon
6 Hexagon
7 Heptagon
8 Octagon
9 Nonagon
10 Decagon
12 Dodecagon
15 Pentadecagon
Polygon
Learner Objective: I will use formulas for the sum of the interior angles, the sum of the exterior angles and the number of diagonals of a polygon to
solve problems involving polygons.
Learner Objective: I will use formulas for the sum of the interior angles, the sum of the exterior angles and the number of diagonals of a polygon to
solve problems involving polygons.
Learner Objective: I will use formulas for the sum of the interior angles, the sum of the exterior angles and the number of diagonals of a polygon to
solve problems involving polygons.
Learner Objective: I will use formulas for the sum of the interior angles, the sum of the exterior angles and the number of diagonals of a polygon to
solve problems involving polygons.
Learner Objective: I will use formulas for the sum of the interior angles, the sum of the exterior angles and the number of diagonals of a polygon to
solve problems involving polygons.
Learner Objective: I will use formulas for the sum of the interior angles, the sum of the exterior angles and the number of diagonals of a polygon to
solve problems involving polygons.
Learner Objective: I will use formulas for the sum of the interior angles, the sum of the exterior angles and the number of diagonals of a polygon to
solve problems involving polygons.
Summary
Learner Objective: I will use formulas for the sum of the interior angles, the sum of the exterior angles and the number of diagonals of a polygon to
solve problems involving polygons.
What is the sum of the interior angles of an undecagon? A quadrilateral?
Learner Objective: I will use formulas for the sum of the interior angles, the sum of the exterior angles and the number of diagonals of a polygon to
solve problems involving polygons.
Three of the angles of a pentagon are right angles. The two remaining angles are congruent. Find the measure of one of the two remaining angles.
Learner Objective: I will use formulas for the sum of the interior angles, the sum of the exterior angles and the number of diagonals of a polygon to
solve problems involving polygons.
What is the name of the polygon whose interior angles total 2340°? That total 1080°?
Learner Objective: I will use formulas for the sum of the interior angles, the sum of the exterior angles and the number of diagonals of a polygon to
solve problems involving polygons.
How many diagonals can be drawn in a decagon? A heptagon?
Learner Objective: I will use formulas for the sum of the interior angles, the sum of the exterior angles and the number of diagonals of a polygon to
solve problems involving polygons.
What is the name of the polygon that has 104 diagonals? 54 diagonals?
Learner Objective: I will use formulas for the sum of the interior angles, the sum of the exterior angles and the number of diagonals of a polygon to
solve problems involving polygons.
What is the sum of the exterior angles of a pentadecagon? A 25-gon?
Learner Objective: I will use formulas for the sum of the interior angles, the sum of the exterior angles and the number of diagonals of a polygon to
solve problems involving polygons.
Complete the table. See if you can observe a pattern.
Learner Objective: I will use formulas for the sum of the interior angles, the sum of the exterior angles and the number of diagonals of a polygon to
solve problems involving polygons.
Assignment:
Pg. 304
# 2, 4
Pg. 309
# 1 (a,c,e), 2, 3, 5, 7, 10 (a,b,c)