Naming Polygons & Name ________________________ Problem Set – Interior Angles per __ date ________ Naming polygons: start at a vertex (any vertex) and name that point; then pick a direction and walk around the polygon, naming the points IN ORDER. Example: possible correct names for the heptagon (right) are: heptagon ABCDEFG G heptagon BCDEFGA F heptagon CDEFGAB A heptagon DEFGABC etc. or: E heptagon GFEDCBA heptagon FEDCBAG heptagon EDCBAGF B etc. D C Give ALL POSSIBLE CORRECT names for this quadrilateral. There are 8. 1. quadrilateral __________ 2. quadrilateral __________ X 3. quadrilateral __________ Y 4. quadrilateral __________ 5. quadrilateral __________ 6. quadrilateral __________ W 7. quadrilateral __________ Z 8. quadrilateral __________ Select all of the following CORRECT names (only!) for the polygon below. __ pentagon ABCDE B __ pentagon DBCEA __ pentagon BCDAE C D __ pentagon EADBC __ pentagon CBDEA E __ pentagon DAECB A Naming Polygons & Name ________________________ Problem Set – Interior Angles per __ date ________ Find the value of x. 1. x = _____ 4. x = _____ 10x + 1 3x° 123° (5x – 6)° 137° 104° 91° 12x 2. x = _____ 5. x = _____ (7x – 3)° 133° 10x – 2 93° 8x + 11 12x 5x° 135° 124° 139° 3. x = _____ 6. x = _____ 96° 149° 158° 143° 112° 131° 15x° 9x + 6 12x° 113° 18x° 8x 120° Naming Polygons & Name ________________________ Problem Set – Interior Angles ANSWERS per __ date ________ Naming polygons: start at a vertex (any vertex) and name that point; then pick a direction and walk around the polygon, naming the points IN ORDER. Example: possible correct names for the heptagon (right) are: heptagon ABCDEFG G heptagon BCDEFGA F heptagon CDEFGAB A heptagon DEFGABC etc. or: E heptagon GFEDCBA heptagon FEDCBAG heptagon EDCBAGF B etc. D C Give ALL POSSIBLE CORRECT names for this quadrilateral. There are 8. 1. quadrilateral _WXYZ_ 2. quadrilateral _XYZW_ X 3. quadrilateral _YZWX_ 4. quadrilateral _ZWXY_ Y 5. quadrilateral _ZYXW_ 6. quadrilateral _YXWZ_ 7. quadrilateral _XWZY_ W 8. quadrilateral _WZYX_ Z Select all of the following CORRECT names (only!) for the polygon below. _N_ pentagon ABCDE B _Y_ pentagon DBCEA _N_ pentagon BCDAE C D _Y_ pentagon EADBC _N_ pentagon CBDEA E _Y_ pentagon DAECB A Naming Polygons & Name ________________________ Problem Set – Interior Angles ANSWERS per __ date ________ Find the value of x. 1. x = _12_ 4. x = _12_ 10x + 1 3x° 123° (5x – 6)° 137° 104° 91° 8x 84 180 12x 8x 96 22x 456 720 22x 264 2. x = _ _ 15 5. x = _12_ (7x – 3)° 133° 10x – 2 93° 8x + 11 12x 5x° 135° 124° 12x 180 360 139° 12x 180 30x 540 900 30x 360 3. x = _11_ 6. x = _9_ 96° 149° 158° 131° 143° 112° 9x + 6 15x° 12x° 8x 113° 18x° 120° 45x 675 1080 17x 353 540 45x 405 17x 187 .