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polygons. Chapter 6.1. 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 far wall ( u nder “Polygons” sign ). Think/pair/share.

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## polygons

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**polygons**Chapter 6.1**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 far wall (under “Polygons” sign)**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**• Ones- come up the board and remove any examples from the wallthat you think are not polygonsand put them on the table in front of the computers. • Twos – Check to see if you agree with the drawings that were removed. Then go to the walland make sure that Group1 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**• Twos– Go to the walland divide the drawings into two groups (Concave/Convex) • Ones– Check to see that the Twosgrouped 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**• Ones– Go to the walland label all the Concave drawings with the appropriate name. • Twos– Go to the wall and label all the Convex drawings with the appropriate name.**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: (Index Card)Remember to write your name!**• 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. x x x x 6.1 Homework (per website/ assignment sheet) is due on Monday!

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