14. How many sides does a regular polygon have, if the measure of an interior angle is 60?
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- Hortense Morgan
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1 State whether the figure is a polygon; if it is a polygon, state whether the polygon is convex or concave. HINT: No curves, no gaps, and no overlaps! Find the indicated measures of the polygon. HINT: For interior angles use (n 2)180 and for exterior angles use Find the SUM of the measures of the interior angles of a octagon. 6. Find the SUM of the measures of the interior angles of a pentagon. 7. Find the SUM of the measures of the exterior angles of a 24-gon. 8. Find the SUM of the measures of the exterior angles of a hexagon. 9. Find the measure of EAH interior angle of a regular decagon. 10. Find the measure of EAH interior angle of a regular nonagon. 11. Find the measure of EAH exterior angle of a heptagon. 12. Find the measure of EAH exterior angle of a 18-gon. 13. How many sides does a regular polygon have, if the measure of an interior angle is 108? 14. How many sides does a regular polygon have, if the measure of an interior angle is 60?
2 Parallelograms! If a quadrilateral is a parallelogram then. 15. opposite sides are and 16. opposite angles are 17. diagonals 18. consecutive angles are AD is a parallelogram. m A = 40, A = 12, and O = 8. A 19. m AD = 20. D = O 21. m D = 22. AO = D State whether each conditional statement is true. Write the converse of each conditional statement and state whether it is true. 23. If a parallelogram is a square, then it is a rhombus. 24. If a parallelogram is a square, then it is a rectangle. 25. If a quadrilateral is a rhombus, then it is a parallelogram. If a parallelogram is a rhombus then if all 4 sides are 27. diagonals are 28. diagonals bisect
3 If a parallelogram is a rectangle then if it has 4 angles 30. diagonals are If a parallelogram is a square then if all 4 sides are 32. if it has 4 angles Identify each parallelogram (rhombus, rectangle, square or parallelogram). Use the EST fit UK is a parallelogram with diagonals intersecting at O. Use the given information to identify the EST type of parallelogram (parallelogram, rectangle, rhombus, or square) that the information describes. 39. K 40. O U
4 Match the properties of a quadrilateral with all of the types of quadrilateral which have that property. 43. The diagonals are congruent. 44. oth pairs of opposite sides are congruent. A. Parallelogram 45. oth pairs of opposite sides are parallel.. Rectangle 46. All angles are congruent.. Rhombus 47. All sides are congruent. D. Square 48. Diagonals bisect the angles. Kites! If a quadrilateral is a kite then 49. it has two pair of congruent sides. 50. one pair of opposite congruent. 51. what property must the diagonals have. 52. the longest diagonal the shortest diagonal. 53. the longest diagonal bisects the angles. Trapezoids! If a quadrilateral is a trapezoid then 54. it must have one pair of opposite sides. If a quadrilateral is an isosceles trapezoid then 55. the legs are 56. base angles are 57. diagonals are
5 Algebra! 58. Solve for x. 59. Solve for x. 60. AD is what type of polygon (be specific)? Find the length of the midsegment, x, and m D. A 15 x 105 D Show that AD is a parallelogram by showing one pair of opposite sides ONGRUENT and PARALLEL. Distance Formula: ( ) ( ) Slope Formula: A(-1, 5) (2, 7) D(-3,- 2) (0,0)
6 62. Use kite AD to find A,, D and DA. Round answers to the nearest 10 th if necessary. A D Take the time to review your proofs from 6.3 and 6.4! You will have 2 proofs on your exam. a. If the given is a parallelogram, use parallelogram justifications in your proof. b. If the given is congruent triangles, use triangle justifications (PT) in your proof. c. Don t forget the Alternate Interior Angles Theorem, Vertical Angles Theorem and the Reflexive Property. d. If you are proving that a quadrilateral is a parallelogram, the last justification must be if.. then the quadrilateral is a parallelogram. e. If you are proving that triangles are congruent, the last justification must be one of the triangle congruence justifications (SSS, SAS, AAS, ASA, HL).
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Mathematics Revision Guides Properties of Triangles, Quadrilaterals and Polygons Page 1 of 15 M.K. HOME TUITION Mathematics Revision Guides Level: GCSE Foundation Tier PROPERTIES OF TRIANGLES AND QUADRILATERALS
Chapter 6 Practice Test
Find the sum of the measures of the interior angles of each convex polygon. 1. hexagon A hexagon has six sides. Use the Polygon Interior Angles Sum Theorem to find the sum of its interior angle measures.
Essential Questions Content Skills Assessments Standards/PIs Resources/Notes. Restates a nonmathematical. using logic notation
Map: Geometry R+ Type: Consensus Grade Level: 10 School Year: 2011-2012 Author: Jamie Pietrantoni District/Building: Island Trees/Island Trees High School Created: 05/10/2011 Last Updated: 06/28/2011 Essential