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Reminders
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come to my room tomorrow.
Period 2
Period 7
Define the following terms.
Congruent –
Supplementary –
Complementary –
Answer true or false. Assume that the angles are formed
from two parallel lines cut by a transversal.
1. Alternate interior angles are congruent.
2. Corresponding angles are not congruent.
3. Vertical angles are congruent.
6-3 Polygons and Angles
How do I find the sum of the
angle measures of a polygon and
the measure of an interior angle
of a regular polygon?
Questions:
What is the
sum of the
interior angles
of a triangle?
What is a
regular
polygon?
Notes:
a
∠𝑎 + ∠𝑏 + ∠c = 180°
b
c
Regular Polygon – a polygon where all the sides are
congruent and all the angles are congruent.
Examples:
Questions:
How do I find
the sum of the
measures of
the interior
angles of a
polygon?
Notes:
Number of
Sides (n)
3
4
5
6
7
Figure
Number of
Triangles
Sum of
Angle
Measure
Questions:
Notes:
Number of
Sides (n)
What
expression
represents the
number of
triangles in an
n-sided
polygon?
Figure
Number of
Triangles
Sum of
Angle
Measure
3
1
1(180)=180
4
2
2(180)=360
5
3
3(180)=540
6
4
4(180)=720
7
5
5(180)=900
Questions:
Notes:
Number of
Sides (n)
What
expression
represents the
sum of the
angle
measures in
an n-sided
polygon?
Figure
Number of
Triangles
Sum of
Angle
Measure
3
1
1(180)=180
4
2
2(180)=360
5
3
3(180)=540
6
4
4(180)=720
7
5
5(180)=900
Questions:
How do I find
the measure
of one interior
angle of a
regular
polygon?
Notes:
𝑆𝑢𝑚 𝑜𝑓 𝑡ℎ𝑒 𝑖𝑛𝑡𝑒𝑟𝑖𝑜𝑟 𝑎𝑛𝑔𝑙𝑒𝑠
= 𝑖𝑛𝑡𝑒𝑟𝑖𝑜𝑟 𝑎𝑛𝑔𝑙𝑒
𝑛𝑢𝑚𝑏𝑒𝑟 𝑜𝑓 𝑣𝑒𝑟𝑡𝑖𝑐𝑒𝑠
Example:
Concept Check
1. Get into groups of 2 and using a white board, explain
to each other how to find the sum of the measures of
the interior angles of the following polygons.
•
•
•
•
Square
Octogon
28-gon
152-gon
Concept Check
1. Get into groups of 2 and using a white board, explain
to each other how to find the measure of an interior
angle for the following REGULAR polygons.
•
•
•
•
Triangle
Square
Pentagon
Hexagon
Homework
Page 318-319; 5-16
AND
Cornell Notes Summary