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Review Sheet # 5 NAME_______________________________________DATE_______________PER._______ REVIEW SHEET # 5: ANGLES OF POLYGONS PART 1. IMPORTANT GEOMETRIC TERMS Draw a picture that best represents each of the following terms. 1. Triangle 2. Scalene Triangle 3. Isosceles Triangle 4. Equilateral Triangle 5. Acute Triangle 6. Obtuse Triangle 7. Right Triangle 8. Equiangular Triangle 9. Polygon PART 2. TRIANGLE BASICS Decide if the following lengths can be sides of a triangle. If yes, classify the triangles by SIDES. 10. YES or NO 8, 10, 20 Classification:_________________________ 11. YES or NO 10, 11, 14 Classification:_________________________ 12. YES or NO Classification:_________________________ 10, 10, 10 Review Sheet # 5 Pg. 2 The measures of two angles of a triangle are given. Find the measure of the third angle, then classify the triangle by ANGLES. 13. Third Angle = ____________ 57, 33 Classification:_________________________ 14. Third Angle = ____________ 36, 52 Classification:_________________________ 15. Third Angle = ____________ 50, 50 Classification:_________________________ Choose the best answer for each of the following. ______16. Which of the following CANNOT be the length of the third side? A. B. C. D. 3 4 5 6 7 4 ______17. Which of the following CANNOT be the length of the third side. A. B. C. D. 3 4 5 6 5 PART 3. ANGLES OF TRIANGLES Find the specified value(s). 18. x = __________ 2 x 21 19. y = __________ 100 y 160 Review Sheet # 5 Pg. 3 E 20. x = __________ m E = __________ 2x x F D x 6 21. x = __________ B m C = _________ m ABC = __________ A x 80 (2x – 4) C Answer each of the following. 22. Angles: In ABC, AB = 6, BC = 8, and AC = 12. List the angles of ABC in order from largest to smallest. 23. Sides: In XYZ, mX = 103, mY = 41, and mZ = 36. List the sides of XYZ in order from shortest to longest. PART 4. POLYGONS AND THEIR ANGLES Classify each of the following polygons, then determine if it is convex or concave. 24. 25. Classification:____________________ CONVEX or CONCAVE? Classification:____________________ CONVEX or CONCAVE? Find the following. Review Sheet # 5 Pg. 4 _______________26. Find the sum of the measures of the interior angles of a decagon. _______________27. Find the sum of the measures of the interior angles of an undecagon. _______________28. Find the measure of one interior angle of a regular undecagon. _______________29. Find the measure of one interior angle of a regular polygon with 15 sides. _______________30. Find the number of sides of a regular polygon, if each interior angle has a measure of 162 _______________31. The sum of the measures of the interior angles of a polygon is 900. Find the number of sides of the polygon. Review Sheet #5 Pg. 5 _______________32. Find the sum of the exterior angles of a 32-gon. _______________33. Find the measure of one exterior angle of a regular polygon with 14 sides. _______________34. Find the number of sides of a regular polygon if each exterior angle has a measure of 22.5. PART 5. REVIEW For each of the following pairs of angles, tell what type of pair they are, and tell whether each pair is congruent or supplementary. 1 2 4 3 6 5 8 7 ANGLE PAIR 35. 1 and 6 36. 2 and 7 37. 5 and 3 38. 4 and 8 39. 1 and 7 TYPE or SUPPLEMENTS? Review Sheet #5 Pg. 6 40. x = ____________ Find the value of ‘x’: (7x – 3) (3x + 21) 41. AB = ____________ If A(2, 3) and B(-4, -6), find AB. 42. (______, ______) Find the midpoint of AB described in #41. PART 6. TAKS Choose the best answer for each of the following. Clearly circle your answers. Work must be shown in order to receive credit. 43. What are the x-intercepts of the 44. The area of a rectangle is given by the function f(x) = x² +3x -4? equation x(x + 2) = 440, where x is the width of the rectangle. Find the length. A. 3, 4 B. -4, 1 C. 4, -1 x D. 3, -1 x+2 Record your answer and fill in the bubbles on the grid below. Be sure to use the correct place value. . 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 45. What is the domain of the following mapping diagram? Review Sheet #5 Pg. 7 -2 -1 0 0 1 1 4 2 A. B. C. D. {x: {y: {y: {x: x = -2, -1, 0, 1, 2} y = -2, -1, 0, 1, 2} y = 0, 1, 4} x = 0, 1, 4} 147.27° 1620° 20 D A 16 1440° Yes, Scalene 69 Hexagon, concave 90°, right S. S. Ext., Supp. 80 28/ 52°/ 100° B, A, C Alt. Ext., Congruent Quadrilateral, convex 10.82 YX, XZ, YZ (-1, -1.5) 360° 7 6 92°, obtuse B 156° 25.71° Corresponding, Congruent No A 22 S. S. Int., Supp. Yes, Equilateral 45/ 90° 80°, acute Corresponding, Congruent 60° 120° 80° 40°