Name: Class: Date: REVIEW: Tools of Geometry -- Chapter 1 Indicate the answer choice that best completes the statement or answers the question. Use the figure below to answer the following questions. Find the measurement of each segment. Figures are not drawn to scale. 6. 7. 1. Which three points in the figure are collinear? a. C, D, b. A, E, c. B, C, d. A, D, F F D E 8. 2. Name the intersection of the plane that contains points A, B, and D and the plane P. a. point D b. triangle BCD c. d. ALGEBRA Find the value of x and KL if K is between J and L. 9. JK = 6x, KL = 3x, and JL = 27 Refer to the figure. 10. JK = 2x, KL = x + 2, and JL = 5x – 10 Find the distance between each pair of points. 11. 3. Name a line that contains points T and P. 4. Name a line that intersects the plane containing points Q, N, and P. 5. Name the plane that contains Powered by Cognero and . Page 1 Name: Class: Date: REVIEW: Tools of Geometry -- Chapter 1 12. Indicate the answer choice that best completes the statement or answers the question. Use the number line to find the coordinate of the point the given fractional distance from A to B. 20. 13. L(–7, 0), Y(5, 9) a. 4 b. 1 c. –3 d. 9 14. U(1, 3), B(4, 6) Find the coordinates of the midpoint of a segment with the given endpoints. 15. K(–9, 3), H(5, 7) 21. a. 3 b. 2 c. 7 d. – 5 16. W(–12, –7), T(–8, –4) Find the coordinates of the missing endpoint if E is the midpoint of . 17. F(5, 8), E(4, 3) 22. a. 7.2 b. 0.2 c. – 2.2 d. 12.2 18. F(2, 9), E(–1, 6) 19. D(–3, –8), E(1, –2) 23. a. 3 b. 10 c. 15 d. – 5 Powered by Cognero Page 2 Name: Class: Date: REVIEW: Tools of Geometry -- Chapter 1 Find P on that is the given fractional distance from N to M. Name the sides of each angle. Use the figure below. 24. , N(1, 7), M(9, – 2) a. b. c. d. 29. 2 25. a. b. c. 30. MOP 31. OMN Write another name for each angle. Use the figure below. d. Name the vertex of each angle. Use the figure below. 32. QPR 26. 3 27. 8 28. NMP Powered by Cognero Page 3 Name: Class: Date: REVIEW: Tools of Geometry -- Chapter 1 Classify each angle as right, acute, or obtuse. Then use a protractor to measure the angle to the nearest degree. 41. ALGEBRA If a supplement of an angle has a measure 78 less than the measure of the angle, what are the measures of the angles? ALGEBRA Use the figure. 33. 34. 35. 42. If m FGE = 5x + 10, find the value of x so that . Name an angle or angle pair that satisfies each condition. 43. If m BGC = 16x – 4 and m CGD = 2x + 13, find the value of x so that BGD is a right angle. Name each polygon by its number of sides and then classify it as convex or concave and regular or irregular. 44. 36. Name two obtuse vertical angles. 37. Name a linear pair with vertex B. 38. Name an angle not adjacent to, but complementary to FGC. 45. 46. 39. Name an angle adjacent and supplementary to DCB. 40. ALGEBRA Two angles are complementary. The measure of one angle is 21 more than twice the measure of the other angle. Find the measures of the angles. Powered by Cognero Page 4 Name: Class: Date: REVIEW: Tools of Geometry -- Chapter 1 Find the perimeter or circumference and area of each figure. Round to the nearest tenth. 47. 48. Powered by Cognero Page 5 Name: Class: Date: REVIEW: Tools of Geometry -- Chapter 1 27. O Answer Key 28. M 1. d 29. 2. d , 30. , 4. Line j or 31. , 5. plane QPT 32. 3 6. 23.1 cm 33. right, 90° 3. Line g, , , 34. obtuse, 110° 7. in. 35. acute, 20° 8. 10.4 cm 36. 9. 3; 9 37. GBC, ABC 10. 6; 8 38. FED 11. 39. DCH 12. 40. 23, 67 13. 15 41. 129, 51 14. 15. (–2, 5) 16. (–10, –5.5) 17. D(3, –2) 18. D(–4, 3) GFH, CFE 42. 16 43. 4.5 44. hexagon; concave; irregular 45. nonagon; convex; regular 46. quadrilateral; convex; irregular 19. F(5, 4) 47. 42 ft; 68 ft2 20. c 48. 44.0 mi; 153.9 mi2 21. d 22. b 23. a 24. a 25. b 26. P Powered by Cognero Page 6