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Polygon formulas

Polygon formulas. Quad Properties. Distance/ midpoint. Polygon formulas (backwards). Bisect/ Midpoint story problems. Potporri. 100. 100. 100. 100. 100. 100. 200. 200. 200. 200. 200. 200. 300. 300. 300. 300. 300. 300. 400. 400. 400. 400. 400. 400. 500. 500. 500.

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Polygon formulas

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  1. Polygon formulas Quad Properties Distance/ midpoint Polygon formulas (backwards) Bisect/ Midpoint story problems Potporri 100 100 100 100 100 100 200 200 200 200 200 200 300 300 300 300 300 300 400 400 400 400 400 400 500 500 500 500 500 500

  2. Find the sum of the interior angles of an octagon 1080˚ Back

  3. Find the measure of 1 interior angle of a regular pentagon 108 ˚ Back

  4. Find the sum of the exterior angles of a dodecagon 360 ˚ Back

  5. Find the measure of 1 exterior angle of a regular 20-gon 18˚ Back

  6. Find the sum of the interior angles of a septagon 900 ˚ Back

  7. Which quadrilaterals have: (P = parallelogram, R = rectangle, Rh = rhombus, S = square, IT = isosceles trapezoid) Congruent diagonals R, S, IT Back

  8. Which quadrilaterals have: (P = parallelogram, R = rectangle, Rh = rhombus, S = square, IT = isosceles trapezoid) 4 congruent sides Rh, S Back

  9. Which quadrilaterals have: (P = parallelogram, R = rectangle, Rh = rhombus, S = square, IT = isosceles trapezoid) Opp angles congruent P, R, Rh, S Back

  10. Which quadrilaterals have: (P = parallelogram, R = rectangle, Rh = rhombus, S = square, IT = isosceles trapezoid) Perpendicular diagonals Rh, S Back

  11. Which quadrilaterals have: (P = parallelogram, R = rectangle, Rh = rhombus, S = square, IT = isosceles trapezoid) Diagonals that bisect angles Rh, S Back

  12. Find the distance AND the midpoint: (3, 4) (-2, 5) D = 5.10 M (½ , 4 ½) Back

  13. Find the distance AND the midpoint: (7, 0) (-1, 6) D = 10 M (3 , 3) Back

  14. Find the distance AND the midpoint: (-7, 5) (2, 8) D = 9.49 M (-2 ½, 6 ½) Back

  15. Find the distance AND the midpoint: (-12, 5) (-3, 9) D = 9.85 M (-7 ½, 7 ) Back

  16. Find the distance AND the midpoint: (0, 16) (-7, -8) D = 25 M (-3 ½, 4) Back

  17. E = 40˚. Name the polygon. 360 = 9 Regular nonagon 40 Back

  18. I = 150˚. Name the polygon 180 – 150 = 30 Regular Dodecagon 360 = 12 30 Back

  19. Si = 720˚. Name the polygon. 720 = 180(n – 2) hexagon 4 = n – 2 6 = n Back

  20. I = 108˚. Name the polygon. 180 – 108 = 72 Regular pentagon 360 = 5 72 Back

  21. Si = 1620˚. Name the polygon. 1620 = 180(n – 2) 11-gon 9 = n – 2 11 = n Back

  22. Ray BD bisects <ABC. m<ABD = 6x m<CBD = 4x + 14 Find m<ABC. 6x = 4x + 14 <ABC = 2(6x) 2x = 14 = 12(7) x = 7 84 ˚ Back

  23. O is the midpoint of HT. OH = 3x + 1 TH = 7x – 6 Find HT. 2(3x + 1) = 7x – 6 HT = 7(8) – 6 6x + 2 = 7x – 6 8 = x 50 Back

  24. Ray OD bisects <COL <LOD = 2x + 6 <COL = 6x – 8 Find m <DOC. 2(2x + 6) = 6x – 8 <DOC = 2x + 6 4x + 12 = 6x – 8 = 2(10) + 6 20 = 2x 10 = x 26 ˚ Back

  25. A is between C and T. CA = 2x + 1 AT = 4x – 1 Find CT 2x + 1 = 4x – 1 CT = 2(2x + 1) 2 = 2x 1 = x 12 Back

  26. Ray ID bisects <BIR <BID = 5x + 5 <RID = 3x + 23 Find m <DIR 5x + 5 = 3x + 23 <DIR = 3x + 23 2x = 18 3(9) + 23 x = 9 50 ˚ Back

  27. Find the measure of 1 interior angle of a regular 25-gon. 180(25 – 2) 25 165.6 ˚ Back

  28. Name all the quadrilaterals with: 4 right angles R, S Back

  29. Find the distance between (-5, 9) and (0, -3) 13 Back

  30. The measure of 1 exterior angle of a regular polygon is 45 ˚. Find the number of sides. 360 45 8 Back

  31. E = 40˚ Name the polygon 360 40 Regular nonagon Back

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