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## PowerPoint Slideshow about ' polygons' - melva

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Draw and post

- Draw a picture of a polygon on each of your post-it notes.
- Try to draw two different types of polygons (be creative).
- Post them on the front chalkboard (right side)

Think/pair/share

- Take a minute to think about your drawings, what makes a figure a polygon?
- Pair up with someone and share your thoughts. (Be sure to listen to their thoughts as well.)
- Write down properties you think must exist to call something a polygon.

A polygon has…(Write Down)

- Three or more sides
- No curved sides
- Each segment connects to only two others (segments don’t cross)

Decide and check

- Aces - come up the board and remove any examples from the board that you think are not polygonsand put them on the cabinet.
- Twos – Check to see if you agree with the drawings that were removed. Then go to the board and make sure that Row 1 removed all the drawings that should have been removed.

Decide and check

- Threes– Go to the board and divide the drawings into two groups (Concave/Convex)
- Fours – Check to see that the Threes grouped the drawings correctly

- If all the angles in a polygon are equal it’s called
- If all the sides in
a polygon are equal

it’s called

- If a polygon is both equilateral and equiangular it is regular(write down)

equiangular

equilateral

Polygon Names

- Polygon Names

Decide and check

- Fives – Go to the board and label all the drawings with the appropriate name.
- Sixes – Go to the board and check to see if you agree with all of the names

Diagonals

- A diagonal connects two non-consecutive vertices (write down)

Diagonals

- A rectangle has 2 diagonals
- Draw the diagonals of a pentagon (5 sides)

Triangles in a polygon

- In your notes create a table, the size of a full sheet of paper, that has 4 columns and 12 rows. Leave enough room to draw a picture below the name.

(n – 2) x 180

n

n - 2

Solve for x

- 113+98+42+x=360
- 253+x=360
- X=107

Solve for x

- 90+90+2x+25+3x+5=360
- 210+5x=360
- 5x=150
- X=30

Equiangular Polygons

- What does each interior angle equal in an equiangular 20-gon?
- What does each interior angle equal in an equiangular n-gon?
- Use this formula to find what each interior angle equals in an equiangular 40-gon.

Exit Ticket Homework

- First: Name the Polygon.
- Second: Determine whether the polygon is convex or concave.
- Third: Determine whether the polygon is equilateral, equiangular, regular, or neither.
- Fourth: Solve for x.

- Pg. 325: 12 – 20, 24 – 34, 37 – 46, 54 - 59

x

x

x

x

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