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ANSWER KEY Honors Geometry Chapter 6 Review Guide 1. 8 sides OCTAGON 6 sides HEXAGON 7 sides HEPTAGON 4 sides QUADRILATERAL 9 sides NONAGON 10 sides PENTAGON DECAGON 2. 3. 3. 4. Square Triangle 1 A bh 2 Rhombus/Kite 4. 5 sides 728 cm2 A 5. A s2 Parallelogram A bh Rectangle A lw Trapezoid A 1 d1 d2 2 136 in 2 6. 11in 8in 7. 320 in 2 30m 20in 52cm 640 m2 11in 8in 40m 40m 10in 10in 16m 24in 14in 30m 14cm 8. EQUILATERAL 9. EQUIANGULAR 10. REGULAR 11. NONE 1 h b1 b2 2 12. RHOMBUS 16. 17. 18. 19. 20. 21. One pair of consecutive angles are congruent. Two pairs of opposite angles are congruent. Opposite sides are congruent and equal. Diagonals are perpendicular and equal. All four sides are congruent. One angle is 90°. 13. TRAPEZOID 14. YES YES YES YES YES YES ISOSCELES TRAPEZOID 15. PARALLELOGRAM NO NO NO NO NO NO x 22. 12 23. 18 24. 124 25. 25 4x 7 26. CONVEX CONCAVE 27. CONVEX CONCAVE 28. CONVEX CONCAVE 29. YES NO 30. YES NO 31. YES NO 32. YES 33. A rhombus is a quadrilateral ALWAYS SOMETIMES NEVER 34. A trapezoid is an isosceles trapezoid ALWAYS SOMETIMES NEVER 35. A rectangle is a trapezoid ALWAYS SOMETIMES NEVER 36. A parallelogram is a rectangle ALWAYS SOMETIMES NEVER 37. Find the area of the parallelogram with the following vertices: 38. Find the value of x in the trapezoid below. NO S 4,6 , P 0,6 , A 5,1 , M 1,1 . 20 u 2 20 39. Find the area of the triangle with the following vertices: 40. Find the value of x in the isosceles trapezoid below. 9 N 2, 3 , F 4, 3 , L 2,3 . 18 u 2