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.
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nn-gon 3Triangle 4Quadrilateral 5Pentagon 6Hexagon 7Heptagon
8Octagon 9Nonagon 10Decagon 12Dodecagon 15Pentadecagon Number of
Sides (or Vertices) Number of Sides (or Vertices) 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.
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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.
Slide 11
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.
Slide 12
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.
Slide 13
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.
Slide 14
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.
Slide 15
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.
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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.
Slide 17
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.
Slide 18
Assignment: Pg. 304 # 2, 4 Pg. 309 # 1 (a,c,e), 2, 3, 5, 7, 10
(a,b,c) 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.