Tessellations Geometry Unit 2 Session 4.

Slides:

Advertisements

Similar presentations

Area of Square Area of rectangle Area of parallelogram

Advertisements

Find Angle Measures in Polygons

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.

Geometry 5 Level 1. Interior angles in a triangle.

Chapter 24 Polygons.

Objective: To be able to work out the interior and exterior angles of a polygon.

Geometry Chapter Polygons. Convex Polygon – a polygon with a line containing a side with a point in the interior of the polygon.

Lesson 3.5 AIM: The Polygon Exterior Angle Sum Theorem

Angles and Polygons COURSE 3 LESSON 8-6

Angles Triangles, Quadrilaterals, Polygons. Remember Angles around a single point add up to

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.

Shapes and Designs Jeopardy Names of Polygons

Types of 2 D Shapes and There Properties 1)A shape with 3 sides is called a triangle 2)A shape with 4 sides is called a quadrilateral 3)The general term.

CHAPTER 24 Polygons. Polygon Names A POLYGON is a shape made up of only STRAIGHT LINES.

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.

Lesson 8.2 (Part 2) Exterior Angles in Polygons

6.2 Lesson. Take out your homework Find the value of x. 73 o 38 o x y z.

8.2 Angles in Polygons Polygon Number of sides Number of triangles Sum of measures of interior angles Triangle Quadrilateral Pentagon Hexagon Heptagon.

Tessellations *Regular polygon: all sides are the same length (equilateral) and all angles have the same measure (equiangular)

11.3 Polygons Polygon: Closed figure formed by 3 or more straight line segments and the sides do not overlap.

Polygons What are properties (rules) of the different types of Quadrilaterals?

Here are the eight semi-regular tessellations:

G Stevenson What Are Tessellations? Basically, a tessellation is a way to tile a floor (that goes on forever) with shapes so that there is no overlapping.

Lesson 10-4: Tessellation

Coming Attractions: regular It is regular because it fits together with no gaps. hexagon.

Coming Attractions: hexagon regular Hexagon is regular becaus.

Your class had all but one regular tessellation of the plane! Vertex Arrangements in 2D and 3D.

 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.

L3-4: Angles of Polygons Warmup: Draw and write the name of as many shapes as you can like the ones below.

Session 16 – Angles and 2D shapes. Types of angle and properties  Angles round the circle, acute, right, obtuse, reflex  Angles at a point = total 360.

POLYGONS A polygon is a closed plane figure that has 3 or more sides.

Polygons – Angles In Regular Polygons Regular Polygons have equal sides and equal angles, So if we can find one side, we would know the measure of all.

Lesson 5.2 Polygon Exterior Angle Sum HOMEWORK: 5.2/ 1-10.

Interior angles of polygons This is just one of the six interior angles of this polygon.

Angles in regular polygons Be able to find the interior and exterior angles of any regular polygon Be able to calculate the number of sides from the interior.

The Interior Angles of Polygons. Sum of the interior angles in a polygon We’ve seen that a quadrilateral can be divided into two triangles … … and a pentagon.

GEOMETRY 10.5 Exterior and Interior Angle Measurement Interactions.

# of sides # of triangles Sum of measures of interior angles 31 1(180)= (180)= (180)= (180)=720 n n-2(n-2) 180.

Geometry Name: __________________________ Unit 4 – Polygon NotesDate: ___________________________ Polygons – - __________________________________________________.

Interior angles of polygons

Polygons and angles.

Angles in polygons.

What common points can we observe on these images? Do we often find this in architecture?

Tessellations A tessellation is made by reflecting, rotating or translating a shape. A shape will tessellate if it can be used to completely fill a space.

Polygons – Measurements of Angles

Angles in regular polygons

11.1 Angles Measures in a Polygon

Polygons 3 triangle 8 octagon 4 quadrilateral 9 nonagon pentagon 10

Interior angles of polygons

Investigation 12: Tessellation

Find Angle Measures in Polygons

Calculate the size of the interior angles in a regular hexagon

Angles in Polygons.

An angle inside a polygon

Geometry Review PPT Finnegan 2013

Polygons – Angles In Regular Polygons

How many diagonals in a… 1. Triangle _______ 2. Heptagon _______

Coming Attractions: hexagon regular

Lesson 10-4: Tessellation

All pupils understand and construct tessellations using polygons

ALWAYS add up to 360 degrees! No matter what polygon it is.

Regular Polygons:.

Lesson: 10 – 7 Tessellations

Welcome GCSE Maths.

Welcome GCSE Maths.

Angle Measures in Polygons

Angles in Polygons: Fill in the gaps

Presentation transcript:

Tessellations Geometry Unit 2 Session 4

Tessellations – Notes tessellation shape

Tessellations – Notes regular polygons tessellation 360°

Class Example 1 𝟏𝟐𝟎°+𝟔𝟎°+𝟔𝟎°+𝟔𝟎°+𝟔𝟎°=𝟑𝟔𝟎° 1) A single interior angle of a regular hexagon ∠= 𝒏−𝟐 𝟏𝟖𝟎 𝒏 ∠= 𝟔−𝟐 𝟏𝟖𝟎 𝟔 ∠=𝟏𝟐𝟎° 2) A single interior angle of a regular triangle ∠= 𝒏−𝟐 𝟏𝟖𝟎 𝒏 ∠= 𝟑−𝟐 𝟏𝟖𝟎 𝟑 ∠=𝟔𝟎° 3) Add together all of the individual angles 𝟏𝟐𝟎°+𝟔𝟎°+𝟔𝟎°+𝟔𝟎°+𝟔𝟎°=𝟑𝟔𝟎°

Class Example 2 1) A single interior angle of a regular hexagon ∠= 𝒏−𝟐 𝟏𝟖𝟎 𝒏 ∠= 𝟔−𝟐 𝟏𝟖𝟎 𝟔 ∠=𝟏𝟐𝟎° 2) Add together all of the individual angles 𝟏𝟐𝟎°+𝟏𝟐𝟎°+𝟏𝟐𝟎°=𝟑𝟔𝟎°