Coming Attractions: hexagon regular

Slides:



Advertisements
Similar presentations
TESSELLATIONS Oleh : Sulistyana SMP N 1 Wonosari.
Advertisements

MA.912.G.2.2: Determine the measures of interior and exterior angles of polygons, justifying the method used Tony is drawing a regular polygon. He has.
1. Prove that the sum of the interior angles of a polygon of n sides is 180 (n – 2). § 8.1 C B E D P F A Note that a polygon of n sides may be dissected.
Chapter 24 Polygons.
EXAMPLE 1 Find the sum of angle measures in a polygon Find the sum of the measures of the interior angles of a convex octagon. SOLUTION An octagon has.
Sum of Angles in Polygons.  A polygon is a two-dimensional (flat) shape that has all straight lines. It needs to be closed, meaning there is an inside.
Classifying Polygons Objective; I can describe a polygon.
Number of sidesName of polygon 3triangle 4quadrilateral 5pentagon 6hexagon 7heptagon 8octagon 9nonagon 10decagon A polygon is a shape enclosed by straight.
6-1 The Polygon Angle-Sum Theorems
6th Grade Math Homework Chapter 7-7
10.3 Polygons, Perimeters, and Tessalatiolns.  Polygon- -Any closed shape in the plane formed by three or more line segments that intersect only at their.
Tessellations 5.9 Pre-Algebra.
Finding the Sum of a Polygon’s Interior Angles 5-Oct-15 Here are some polygons The word ‘polygon’ is a Greek word. Poly gon Poly means many and gon means.
Find the sum of angle measures in a polygon
Patterns and Transformations $10 $20 $30 $40 $50 $30 $20 $40 $50 $10 $40 $50 Combine Shapes Patterns Polygons Transformations Transformations are worth.
Lesson 14 Measure of the Angles of Polygons. Get the idea The sum of the measure of interior angles of any triangle is 180°. We can use this fact to help.
Transparency 7 Click the mouse button or press the Space Bar to display the answers.
6.2 Lesson. Take out your homework Find the value of x. 73 o 38 o x y z.
Tessellations *Regular polygon: all sides are the same length (equilateral) and all angles have the same measure (equiangular)
POLYGONS POLYGONS Moody Mathematics. What is the term for a 3- sided polygon? Triangle Moody Mathematics.
Warm Up Problem of the Day Lesson Presentation Lesson Quizzes.
11.3 Polygons Polygon: Closed figure formed by 3 or more straight line segments and the sides do not overlap.
Do Now ChalkUp “Quadrilateral Review”. 3/17/ C Polygons.
CP Geometry Mr. Gallo. Shapes for the next page. Draw all the diagonals possible from only one vertex. Use the information in the chart on the next page.
7.3 Formulas Involving Polygons. Before We Begin.
7-9 Tessellations Course 3 Warm Up Warm Up Problem of the Day Problem of the Day Lesson Presentation Lesson Presentation.
Coming Attractions: hexagon regular This figuire is also a tesselation. If its regular then it fits together with no gaps. A tesselation is a shape with.
Lesson 10-4: Tessellation
Coming Attractions: regular It is regular because it fits together with no gaps. hexagon.
By Mr. Dunfee THE SUM OF THE ANGLES OF A TRIANGLE IS 180 DEGREES.
© T Madas. A pattern of shapes which fit together without leaving any gaps or overlapping A way of completely covering a plane with shapes which do not.
Coming Attractions: hexagon regular Hexagon is regular becaus.
5-9 Tessellations Warm Up Problem of the Day Lesson Presentation
Tessellation By: Maria, Leonela, & Lissaret Objective: You will learn to determine which regular polygons can be used to form a tessellation.
Lesson 10-7 Pages Polygons and Tessellations.
 Hidden Lines in Tessellations ◦ “Mind’s Eye” – the angle defined by our mind’s eye to help us find the pattern. ◦ Angles are all the same. ◦ These angles.
Quick Start Expectations 1.Come in and sit quietly. 2.Fill in planner and HWRS: 3.Read today’s target question: Which regular polygons can be used to tile.
POLYGONS A polygon is a closed plane figure that has 3 or more sides.
Lesson 10-4: Tessellation
5.1 Polygon Sum Conjecture
Class Opener 1 – 18 – 12: The diagonals of a quadrilateral are perpendicular bisectors of each other. What is the name that best describes the quadrilateral?
7-5 Polygons Course 2 Warm Up Warm Up Problem of the Day Problem of the Day Lesson Presentation Lesson Presentation.
The sum of the angles of a triangle is always 180 degrees.
8-5 Classifying Polygons Course 2 Warm Up Warm Up Problem of the Day Problem of the Day Lesson Presentation Lesson Presentation.
TESSELLATIONS Created by : 1.SulasihSMP N I Gresik 2.MinardjiSMP N I Bojonegoro 3.Indriana Y. SMP N 2 Semarang 4.DartoSMP N 4 Pakem 5.M. LahuriSMP N I.
Class Announcements: We will join Canvas together on Monday. Complete the Exit Ticket by the end of class today. If the Review sheet is not complete, tape.
Determine the name of the polygon
6.1 Notes: Angles of Polygons
Polygons and angles.
Investigation 2 Designing Polygons: The Angle Connection.
Polygons and Tessellations
Tessellations Objective:
Bellwork 43° 88° 2x° (3x + 1)°.
Polygons, Perimeters, and Tessellations
Polygons – Measurements of Angles
Polygons 3 triangle 8 octagon 4 quadrilateral 9 nonagon pentagon 10
Y8 Polygon Workbook.
Interior and Exterior angles
Radial differentiation slide
Angles of a Polygon Diagonal of a polygon – A segment that connects any two nonconsecutive vertices. The number of triangles formed by drawing diagonals.
Angle Relationships in Polygons
Geometry Review PPT Finnegan 2013
Lesson 10-4: Tessellation
All pupils understand and construct tessellations using polygons
All Change It Fits Tessellations To be able to:
The Polygon Angle-Sum Theorem
Lesson 7-6 Tessellations.
Year 9 Mathematics Polygons
Tessellations Geometry Unit 2 Session 4.
Presentation transcript:

Coming Attractions: hexagon regular Because if it fits together with no gaps then it is a regular shape

18 45

What is the measure of each angle? Explain 8. Does this polygon tessellate? Explain The measure of the shape is 45 They fit together with no gaps between the shapes

3 sides – 2 = 1 x 180= 180 4 sides – 2 = 2 x 180= 360 360 5 sides – 2 = 3 x 180= 540 540 penta 6 hexagon 980 7 7 8 octagon 9 9 1260 10 1430 Decagon

10. What would be the sum of the angles in a 52 sided polygon? 3 sides – 2 = 1 x 180= 180 4 sides – 2 = 2 x 180= 360 360 540 5 sides – 2 = 3 x 180= 540 penta hexagon 6 7 7 980 answer 8 octagon 9 9 1260 10 decagon 1430 52-2=50 x 180=9000

85 ????? 45 50

130 4. What is the reflex of this angle? _230___________________

75 Dbe 75 112

Use auto shapes to draw a tessellation below This illustration is a tessellation because…….

Using your chart, explain the pattern you see in Column A.

Using your chart, explain the relationship between the numbers in Column A and Column B.

Using your chart, describe the pattern you found in Column E.

Explain how you found your answer to the 150-sided figure Explain how you found your answer to the 150-sided figure. How do you know that your answer is correct?