1028 with practice on 1029 I can name and classify a polygon given the number of sides and vertices I can find the interior angles of a polygon using the Polygon Angle Sum Theorem I can find the exterior angle of a polygon using the Polygon Exterior Angle Sum Theorem ID: 723857
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Slide1
Go over quizSlide2
3.4 Polygon Angle Sum Theorems
10/28 with practice on 10/29Slide3
I
can
name and classify
a polygon given the number of
sides and vertices.I can find the interior angles of a polygon using the Polygon Angle Sum TheoremI can find the exterior angle of a polygon using the Polygon Exterior Angle Sum Theorem
Learning TargetsSlide4
Polygon :
a polygon is a closed
plane figure
with at least three sides that are segments. The sides intersect only at their endpoints.Slide5Slide6
To name a polygon, you must name the vertices consecutively
EX:Slide7
Convex polygon:
Has no diagonals with points outside the polygon.
Concave polygon:
Has at least one diagonal with points outside the polygon.
EXSlide8
Part a is Convex part b is ConcaveSlide9
Polygon Classification
3 sides-
4 sides-
5 sides-
6 sides-Slide10
Polygon Classification(cont’d)
7 sides -
8 sides -
9 sides -
10 sides - 12 sides - N sides - Slide11
Polygon Angle Sum Theorem:
The sum of the measures of the interior angles of any polygon is (n – 2)180, where n is the number of sides
.Slide12
Ex.
What is the sum of the measures of angles of a
Decagon?
Pentagon?Slide13
Find the sum of the measures of angles of an octagon
In your groupsSlide14
Find xSlide15
The sum of the measures of the interior angles is 720. How many sides does it have
?
Hint: Work backwards
In your groupsSlide16
Polygon Exterior Angle Sum Theorem:
The sum of the exterior angles of a polygon is 360 degrees
. ALWAYS!Slide17
An Equilateral polygon
has all sides congruent.
An
Equiangular polygon
has all angles congruent.The following is SUPER IMPORTANT!!!A regular polygon has all equal angles and equal sides. Slide18
What is the measure of an exterior angle of a regular hexagon?
What is the measure of an interior angle of a regular dodecagon?
In your groupsSlide19
The following is a regular polygon, find the missing measures
In your groupsSlide20
In a regular polygon, the sum of an interior angle and exterior angle is 180
Slide21
HomeworkIn packet 3-4Slide22
Warmup
– Grab your book
For a regular nonagon
What is the measure of an interior angle?
What is the measure on an exterior angle?Day 2 for 3.4Slide23
Go over 3-4 Packet.Slide24
P.147 #16-21Slide25
3
-4 worksheet practice