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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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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.
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)
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