5.1 Polygon Sum Conjecture. Angle Exploration Equilateral Triangle 60°

5.1 Polygon Sum Conjecture

Angle Exploration

EquilateralTriangle60°

Angle Exploration

Square90°

Angle Exploration

RegularPentagon108°

Angle Exploration

RegularHexagon120°

Angle Exploration

RegularHeptagon129°

Angle Exploration

RegularOctagon135°

Angle Exploration

RegularNonagon140°

Angle Exploration

RegularDecagon144°

Angle Exploration

RegularDodecagon147°

Angle Exploration• Summarize our

results

Sides Degrees3 60°4 90°5 108°6 120°7 129°8 135°9 140°

10 144°11 147°

Is there a correlation between the number of sides and the degrees?

• What is the sum of the angles in each of the polygons

Angle Exploration

• Summarize our results

Sides Total Degrees3 180° 60°4 360° 90°5 540° 108°6 720° 120°7 900° 129°8 1080° 135°9 1260° 140°

10 1440° 144°11 1620° 147°

Total Degrees in each polygon.

Do you see a pattern?

Interior Angles in a Polygon

• The sum of the angles of the interior angles of a convex n-gon is (n-2)•180°

Interior Angles in a Polygon

• What are the angle measures if the polygon is regular

• (n-2)•180°/n

Sample Problems

Exercise 12

5.1 Polygon Sum Conjecture. Angle Exploration Equilateral Triangle 60°

Documents

Transcript of 5.1 Polygon Sum Conjecture. Angle Exploration Equilateral Triangle 60°

Lesson 1: Construct an Equilateral Triangle...2015-16 Lesson 1 : Construct an Equilateral Triangle M1 GEOMETRY 4. Construct an equilateral triangle 𝐴𝐴𝐴𝐴𝐶𝐶 that has

Equilateral Triangle & Ranking Regions

Thursday, November 4, 2010 - GIS Courses · 2015. 6. 22. · Attributes of BlobUnion Shape ' Blob-I Blob2 O Polygon I Polygon 2 Polygon 3 Polygon 4 Polygon 5 Polygon S Polygon Record:

Introduction II: The Symplectic Geometry of Polygon Space ...clayton/research/talks/StonyBrook… · 2 Use symplectic geometry to ﬁnd nice coordinates on equilateral polygon space.

Properties of Polygons UNIT 5 Teacher: Per: · 2020. 11. 29. · Polygon Sum Conjecture The sum of the measures of the n interior angles of an n-gon is… Exterior Angle Sum Conjecture

washburn.mpls.k12.mn.us · 2019. 2. 27. · Notes Lesson 5.1 - Polygon Sum Conjecture — page 256 Angles of a Quadrilateral 36 D Cø¶rve.ny c.30 348 A regular quadrilateral h' -ft.Æ

Polygon Conjecture - SCEVMATH.ORG...Lesson 5.2.Exterior Angles of a Polygon Period In Exercises 1-3, find each lettered angle measure.1.A: -rb: 2.a: -rb: How many sides does a regular

WARM UP: 0 You know the meaning of equilateral. What do you think an equiangular polygon is? 0.

Objectives: - Define polygon, reflectional symmetry, rotational symmetry, regular polygon, center of a regular polygon, central angle of a regular polygon,

Given a regular polygon, you can find its area by dividing the polygon into congruent, non- overlapping, equilateral triangles.

line of symmetry scalene isosceles acute-angled congruent right-angled equilateral obtuse-angled vertex polygon.

5.1 Polygon Sum Conjecture HW - Keydc-pope.weebly.com/uploads/3/7/7/5/37756673/5.1_polygon...5.1 Polygon Sum Conjectur Homework 1. Find the sum of the interior angles of the given

Geometry 11.4 Areas of Regular Polygons. Definitions Regular polygon- a polygon that is equiangular and equilateral. In the upper right side of your paper,

Polygons and Area. Section 10-1 A polygon that is both equilateral and equiangular.

Main Idea/Vocabulary interior angle equilateral equiangular regular polygon Find the sum of the angle measures of a polygon and the measure of an interior.

Shape, Space and Measures Policy · trapezium and kite. Name equilateral triangle and isosceles triangles and heptagons, and know the term polygon and that polygons can be regular

3 UNDERSTANDING QUADRILATERALS - Testlabz · Ans. (a) The minimum interior angle possible for regular polygon is 60°. Because an equilateral triangle being a regular polygon of 3

Polygon - drugslibrary.wordpress.stir.ac.ukdrugslibrary.wordpress.stir.ac.uk/files/2017/05/rp18_polygon.pdf · Polygon: We chose to call this work ‘Polygon’. A polygon is a many-sided

TOPOLOGY OF EQUILATERAL POLYGON LINKAGES …dlisv03.media.osaka-cu.ac.jp/contents/osakacu/sugaku/111...Kamiyama, Y. Osaka J. Math. 36 (1999), 731-745 TOPOLOGY OF EQUILATERAL POLYGON

Polygon-to-Polygon Predictions Using Areal Interpolation · 2018 Esri User Conference – Presentation, 2018 Esri User Conference, Polygon-to-Polygon Predictions Using Areal Interpolation