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## PowerPoint Slideshow about ' Bellwork' - miriam

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### Bellwork

### Bellwork Solution

### Bellwork Solution

### Lines of Symmetry

### Symmetry

### Symmetry

### Examples

### Example

### Example

### Example

### Example

### Example

### Example

### Example

### Example

### Example

### Example

### Example

### Drawing

### Regular Polygons

### Most Important Points

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?

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2

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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

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?

Section 5.α

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

- There are primarily two kinds of lines of symmetry
- Bilateral
- Splits the object exactly in half

- Rotational or Radial
- Reproduces a piece of the object as it rotates about a center

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

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

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

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

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

What objects to we see on a daily basis that have lines of symmetry?

What are lines of symmetry for this object symmetry?

What are lines of symmetry for this object symmetry?

What are lines of symmetry for this object symmetry?

What are lines of symmetry for this object symmetry?

What are lines of symmetry for this object symmetry?

What are lines of symmetry for this object symmetry?

What are lines of symmetry for this object symmetry?

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

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

- Bilateral Symmetry regular polygons
- Radial Symmetry
- Drawing using a line of symmetry

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