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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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