Geometry Ch 6 Fitch FMS Study online at quizlet.com/_ikatd 1. Polygon: 2-dimensional plane figure (planar), closed, shape 30. Rectangle: A parallelogram with four right angles made of straight lines. Poly = many; gon = angle 31. Square: A parallelogram with four congruent sides and four 2. Equilateral Polygon: A polygon whose sides are all congruent. right angles 3. Equiangular Polygon: A polygon whose angles are all 32. Relationships between Special Parallelograms congruent. (Rhombus, Rectangle, Square): All squares are rectangles 4. Regular Polygon: A polygon that is BOTH equilateral and and rhombi/rhombuses. Not all rectangles and equiangular rhombi/rhombuses are squares. 33. The diagonals of a rhombus...: are perpendicular; bisect 5. Diagonal: Connects 2 non-consecutive vertices opposite angles; bisect each other 6. Convex Polygon: A polygon whose diagonals contain no points 34. The diagonals of a rectangle...: are congruent; bisect each outside the polygon. Every interior angle is < 180 degrees. other 7. Concave Polygon: A polygon whose diagonals contain points 35. The diagonals of a square...: are congruent; are outside the polygon. At least one interior angle is > 180 degrees. perpendicular; bisect opposite angles; bisect each other 8. Quadrilateral: Polygon with 4 sides, 4 vertices 36. Trapezoid: A quadrilateral with exactly one pair of parallel 9. Pentagon: 5-sided polygon sides. Not a parallelogram. 10. Hexagon: 6-sided polygon 37. Bases of a trapezoid: the parallel sides 11. Octagon: 8-sided polygon 38. Legs of a trapezoid: the nonparallel sides 12. Decagon: 10-sided polygon 39. Base angles of a trapezoid: 2 angles that share a base. There 13. N-gon: n-sided polygon are 2 pairs of base angles. 14. 27-gon: 27-sided polygon 40. The consecutive angles between the bases of a trapezoid 15. The SUM of the INTERIOR angles of a convex polygon are...: supplementary with n sides: 180(n-2) [or 180n - 360] degrees 41. The midsegment of a trapezoid is parallel to the bases 16. Interior angles: 3 sides = 180, 4 sides = 360, 5 sides = and equal in length to...: the average/mean of the bases 540. Therefore...: add 180 degrees for each new side 42. Isosceles Trapezoid: A trapezoid with congruent legs 17. The measure of EACH INTERIOR angle of an 43. The base angles of an isosceles trapezoid are...: congruent equiangular or regular polygon: 180(n-2)/n [or (180n - 44. The diagonals of an isosceles trapezoid are...: congruent 360)/n] degrees 45. Kite: A quadrilateral with two pairs of consecutive congruent 18. The SUM of the EXTERIOR angles of a convex polygon sides and no opposite congruent sides. Not a parallelogram. (one at each vertex): 360 degrees 46. The diagonals of a kite are...: perpendicular 19. The measure of EACH EXTERIOR angle of an 47. Opposite sides (both)are parallel:: parallelogram, equiangular or regular polygon (one at each vertex): 360/n degrees rectangle, rhombus, square 48. Opposite sides (both) are congruent:: parallelogram, 20. Parallelogram: A quadrilateral with both pairs of opposite sides parallel rectangle, rhombus, square 49. Opposite angles (both) are congruent:: parallelogram, 21. Opposite Sides: Across from each other; do not share a vertex rectangle, rhombus, square 22. The opposite sides of a parallelogram are...: parallel and 50. Consecutive angles are supplementary:: parallelogram, congruent rectangle, rhombus, square 23. Opposite Angles: Across from each other; do not share a side 51. Diagonals bisect each other:: parallelogram, rectangle, 24. The opposite angles of a parallelogram are...: congruent rhombus, square 25. Consecutive Angles: Share a side 52. Diagonals are congruent:: rectangle, square, isosceles 26. The consecutive angles of a parallelogram are...: trapezoid supplementary 53. All 4 angles are right:: rectangle, square 27. The diagonals of a parallelogram...: bisect each other 54. Diagonals are perpendicular:: rhombus, square, kite 28. Properties of Parallelograms: Both pairs of opposite sides 55. Diagonals bisect opposite angles:: rhombus, square are parallel; Both pairs of opposite sides are congruent; Both 56. 1 pair of parallel sides:: trapezoid, isosceles trapezoid pairs of opposite angles are congruent; Any 2 consecutive angles are supplementary; Both diagonals bisect each other; One pair of 57. No parallel sides:: kite opposite sides are congruent AND parallel 29. Rhombus: A parallelogram with four congruent sides.