Warm-Up: Copy and Warm-Up: Copy and Complete Complete • The last day to turn in ANY late or missing work is ______________________. • All test re-takes must be taken ________________ or during PACK this week. • Define Quadrilateral
Warm-Up: Copy and Complete The last day to turn in ANY late or missing work is ______________________. All test re-takes must be taken ________________.
Dec 17, 2015
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Warm-Up: Copy and Warm-Up: Copy and CompleteComplete
• The last day to turn in ANY late or missing work is ______________________.
• All test re-takes must be taken ________________ or during PACK this week.
• Define Quadrilateral
Polygon Polygon classificationclassification
Concave Polygon Convex Polygon
1.
Homework: p 386 #1-15, 23-33 odd
Classifying Classifying PolygonsPolygons
2. Naming Polygons based on the number of sides:
3 sides =
4 sides =
5 sides =
6 sides =
7 sides =
8 sides =
9 sides =
10 sides =
Triangle (This label is based on the number of angles.)
Quadrilateral
Pentagon
Hexagon
Heptagon
Octagon
Nonagon
Decagon
PolygonsPolygonsTriangle - A polygon with three sides.
PolygonsPolygonsQuadrilateral - A polygon with four
sides.
PolygonsPolygonsParallelogram - A quadrilateral with
two pairs of parallel sides.
PolygonsPolygonsTrapezoid - A quadrilateral which has
one pair of parallel sides.
PolygonsPolygonsRectangle - a quadrilateral with four
congruent angles (all 90°).
PolygonsPolygonsRhombus - A parallelogram with four
congruent sides.
PolygonsPolygonsSquare - a quadrilateral with four
congruent sides and four congruent angles (all 90°).
PolygonsPolygonsPentagon - A polygon with five sides.
PolygonsPolygonsHexagon - A polygon with six sides.
PolygonsPolygonsOctagon - A polygon with eight sides.
PolygonsPolygonsDecagon - A polygon with ten sides.
Bell W
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Bell W
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5 minutes
3. How do you find the sum of the interior angles of an n-gon?
)2(180 nSum of Interio
r Angles
Polygon Polygon PracticePractice
3. Find the sum of the interior angles of the following polygons.Hexagon: 22-gon
)2(180 nSum of Interior Angles
Hexagon
Sum of Interior Angles
)26(180 Sum of Interior Angles
4180
Sum of Interior Angles
720
)2(180 nSum of Interior Angles
22-gon
Sum of Interior Angles
)222(180 Sum of Interior Angles
20180
Sum of Interior Angles
3600
Polygon Polygon practicepractice
3. What does “sum of the interior angles” mean?
The answer when I add up all of the angles on the INSIDE of a polygon.
Polygon Polygon practicepractice
4. What is a regular polygon?
All of the angles are the congruent (same measure) and all of the sides are congruent (same length).
Polygon Polygon practicepractice
3. How do you find the measure of an (each/one) interior angle of a regular n-gon?
n
n )2(180
Measure of One Interior
angle of a Regular n-
gon
Polygon Polygon practicepractice
3. Find the measure of each interior angle of the following polygons.Hexagon: Nonagon
n
n )2(180 Measure of
one Interior Angle
Hexagon
Measure of one Interior
Angle6
)26(180
Measure of one Interior
Angle6
4180
Measure of one Interior
Angle6
720
Measure of one Interior
Angle
120
n
n )2(180 Measure of
one Interior AngleMeasure of
one Interior Angle
9
)29(180
Measure of one Interior
Angle9
7180
Measure of one Interior
Angle9
1260
Measure of one Interior
Angle
140
Nonagon
Polygon Polygon practicepractice
4. What is the sum of the exterior angles of any regular polygon?
The sum of the measures of the exterior angles of any polygon is always .
360
Polygon Polygon practicepractice
4. How do you find the measure of one exterior angle of a regular polygon?
n
360Measure of
One Exterior angle of a Regular n-
gon
Polygon Polygon practicepractice
6. Find the measure of an exterior angle of the following regular polygons.
n
360Measure of
one Exterior Angle
Decagon
Measure of one Exterior
Angle10
360
Measure of one Exterior
AngleMeasure of one Exterior
Angle
Pentagon
Measure of one Exterior
Angle
36Measure of one Exterior
Angle
n
360
5
360
72
Polygon Polygon practicepractice
7. Find the number of sides for a regular polygon using the information given:
a)The measure of each exterior angle is 30 degrees.
30
360
n
nn
n
30360
n
30
360
n10
Polygon Polygon practicepractice
7. Find the number of sides for a regular polygon using the information given:
b) The measure of each interior angle is 135 degrees.
135
180)2(
n
n
Polygon Polygon practicepractice
7. Find the number of sides for a regular polygon using the information given:
a)The measure of each exterior angle is 30 degrees.
b)The measure of each interior angle is 135 degrees.
30
360
n
30
360
n
Bell W
ork
Bell W
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End
Quiz PracticeQuiz Practice1) Find “x” and “y”. 2) Find each angle
A little more practiceA little more practice• 3) Find a, b and c.
30
ab
c
Exit TicketExit Ticket1. Name the polygon by the number of its sides.
Then tell whether the polygon is regular or irregular, concave or convex.
1. Find the sum of the interior angle measures of a convex 11-gon.
2. Find the measure of each interior angle of a regular 18-gon.
3. Find the measure of each exterior angle of a regular 15-gon
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