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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 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)

• 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.

Section 6.1What is a polygon? (Write down)

Polygons

Not Polygons

A polygon has…(Write Down)

• Three or more sides

• No curved sides

• Each segment connects to only two others (segments don’t cross)

• 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

Convex Polygons

Concave Polygons

• 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

equiangular

equilateral

• Polygon Names

• 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

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

• A rectangle has 2 diagonals

• Draw the diagonals of a pentagon (5 sides)

• 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

• 113+98+42+x=360

• 253+x=360

• X=107

• 90+90+2x+25+3x+5=360

• 210+5x=360

• 5x=150

• X=30

• 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.

• 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