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Bellwork. Pannini’s Pizza Parlor advertises that you could get a one-topping pizza from them once a week for over two years and never have exactly the same pizza twice! Are they correct? Here is their menu

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Presentation Transcript
Bellwork

Bellwork

Pannini’s Pizza Parlor advertises that you could get a one-topping pizza from them once a week for over two years and never have exactly the same pizza twice! Are they correct? Here is their menu

How many triangles are there in the 4, 5 and 6th triangles if there are 1 in the first, 3 in the second and 6 in the third?

1

2

3

4


Bellwork solution

Bellwork Solution

Pannini’s Pizza Parlor advertises that you could get a one-topping pizza from them once a week for over two years and never have exactly the same pizza twice! Are they correct? Here is their menu


Bellwork solution1

Bellwork Solution

1

2

3

4

How many triangles are there in the 4, 5 and 6th triangles if there are 1 in the first, 3 in the second and 6 in the third?


Lines of symmetry

Lines of Symmetry

Section 5.α


The concept
The Concept

  • Today we’re going to be talking about a relatively basic topic, but one that is very important to our discussion of geometry, specifically in regards to areas and three dimensional solids


Symmetry

Line of Symmetry

-Imaginary line drawn that creates a reproduced piece of an object

Symmetry


Symmetry1

Symmetry


Symmetry2

Let’s take a closer look at rotational symmetry

Instead of splitting an object up we look to cut it into pieces from a “center of symmetry”

This is done in such a way that each piece replicates itself as it’s rotated around

Symmetry


Examples

Typically there is at most two ways to divide an object radially, although there are many ways to do it bilaterally

Examples


Example

What are lines of symmetry for this object radially, although there are many ways to do it bilaterally

Example


Example1

What are bilateral lines of symmetry for this object radially, although there are many ways to do it bilaterally

Example


Example2

What are lines of symmetry for this object radially, although there are many ways to do it bilaterally

Example










Drawing

This looks a lot like a reflection… symmetry?

One of the ways that lines of symmetry are used is in the process of drawing objects

For instance

Drawing


Regular polygons

A helpful Theorem for us to remember governs symmetry in regular polygons

Theorem 5.20: Lines of symmetry in regular polygons

The number of lines of symmetry in a regular n-gon is equal to the number of sides

Regular Polygons


Homework

Homework regular polygons

9.6

1-20, 27-30 (don’t figure angles)


Most important points

Most Important Points


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