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# polygons - PowerPoint PPT Presentation

polygons. 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?

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## PowerPoint Slideshow about 'polygons' - melva

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Presentation Transcript
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.
Convex vs concave (Write Down)

Convex Polygons

Concave Polygons

What’s the difference?

Convex Polygons

Concave Polygons

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