Geometry - Chapter 1 - Corrective #1

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Class: Date: Geometry - Chapter 1 - Corrective #1 Short Answer 1. Sketch a figure that shows two coplanar lines that do not intersect, but one of the lines is the intersection of two planes. 2. Name two lines in the figure. 3. Name three collinear points. 4. Find the length of BD where D is the midpoint of BC. 5. D is between C and E. CE = 6x, CD = 4x + 8, and DE = 27. Find CE. 1

6. Tell whether FAC and 3 are only adjacent, adjacent and form a linear pair, or not adjacent. 7. Find the perimeter and area of the figure. 8. The width of a rectangular mirror is 2 3 the measure of the length of the mirror. If the area is 54 in.2, what are the length and width of the mirror? 9. R is the midpoint of AB. T is the midpoint of AC. S is the midpoint of BC. Use the diagram to find the coordinates of T, the area of RST, and AB. Round your answers to the nearest tenth. 1

10. m IJK = 57 and m IJL = 20. Find m LJK. 11. Find the measure of the supplement of R, where m R = (8z + 10) Matching a. congruent angles b. angle bisector c. vertical angles d. linear pair e. supplementary angles f. exterior angles g. adjacent angles h. complementary angles 12. two angles whose measures have a sum of 90 13. a ray that divides an angle into two congruent angles 14. a pair of adjacent angles whose noncommon sides are opposite rays 15. angles that have the same measure 16. two angles in the same plane with a common vertex and a common side, but no common interior points 17. two angles whose measures have a sum of 180 3

a. vertex b. base c. height d. hypotenuse e. perimeter f. length g. leg h. area 18. the number of nonoverlapping unit squares of a given size that will exactly cover the interior of a plane figure 19. any side of a triangle 20. the distance between the two endpoints of a segment 21. one of the two sides of the right triangle that form the right angle 22. the side opposite the right angle in a right triangle 23. a segment from a vertex that forms a right angle with a line containing the base a. collinear b. segment c. line d. plane e. point f. ray g. undefined term h. coplanar 24. points that lie in the same plane 25. a straight path that has no thickness and extends forever 26. points that lie on the same line 27. a basic figure that is not defined in terms of other figures 28. a flat surface that has no thickness and extends forever 29. a location that has no size 4

a. line b. opposite rays c. postulate d. ray e. plane f. vertex g. endpoint h. segment 30. a part of a line consisting of two endpoints and all points between them 31. a part of a line that starts at an endpoint and extends forever in one direction 32. a point at an end of a segment or the starting point of a ray 33. the common endpoint of the sides of an angle 34. two rays that have a common endpoint and form a line 35. a statement that is accepted as true without proof, also called an axiom a. x-value b. coordinate c. y-value d. coordinate plane e. between f. construction g. distance h. congruent segments 36. a method of creating a figure that is considered to be mathematically precise 37. the absolute value of the difference of the coordinates of two points 38. a plane that is divided into four regions by a horizontal line called the x-axis and a vertical line called the y-axis. 39. given three points A, B, and C, B is between A and C if and only if all three of the points lie on the same line, and AB + BC = AC 40. two segments that have the same length 41. a number used to identify the location of a point 5

a. bisect b. midpoint c. angle bisector d. angle e. perpendicular bisector f. measure g. degree h. segment bisector 42. a line, ray, or segment that divides a segment into two congruent segments 43. the use of units to find a size or quantity 44. a figure formed by two rays with a common endpoint 45. to divide into two congruent parts 46. the point that divides a segment into two congruent segments 47. a unit of angle measure a. exterior of an angle b. interior of an angle c. vertical angles d. acute angle e. obtuse angle f. right angle g. straight angle h. complementary angles i. supplementary angles 48. an angle formed by two opposite rays that measures 180 49. the set of all points between the sides of an angle 50. an angle that measures 90 51. an angle that measures greater than 90 and less than 180 52. an angle that measures greater than 0 and less than 90 53. the nonadjacent angles formed by two intersecting lines 6

54. the set of all points outside an angle a. translation b. transformation c. rotation d. reflection e. position f. dimension g. image h. preimage 55. a transformation across a line 56. a change in the position, size, or shape of a figure 57. a transformation about a point P, such that each point and its image are the same distance from P 58. the original figure in a transformation 59. a shape that results from a transformation of a figure 60. a transformation in which all the points of a figure move the same distance in the same direction a. circumference b. pi c. diameter d. area e. circle f. radius g. perimeter 61. the sum of the side lengths of a closed plane figure 62. a segment whose endpoints are the center of a circle and a point on the circle, or the distance from the center of a circle to any point on the circle 63. the distance around the circle 64. a segment that passes through the center of a circle and whose endpoints are on the circle, or the length of such a segment 65. the ratio of the circumference of a circle to its diameter, denoted by the Greek letter π 7

Geometry - Chapter 1 - Corrective #1 Answer Section SHORT ANSWER 1. ANS: TOP: 1-1 Understanding Points, Lines, and Planes 2. ANS: WC and CR TOP: 1-1 Understanding Points, Lines, and Planes 3. ANS: R, G, and N TOP: 1-1 Understanding Points, Lines, and Planes 4. ANS: BD = 3.5 TOP: 1-2 Measuring and Constructing Segments 5. ANS: CE = 105 TOP: 1-2 Measuring and Constructing Segments 6. ANS: adjacent and form a linear pair TOP: 1-4 Pairs of Angles 7. ANS: perimeter = 7x + 14; area = 3x + 24 TOP: 1-5 Using Formulas in Geometry 1

8. ANS: length = 9 in., width = 6 in. TOP: 1-5 Using Formulas in Geometry 9. ANS: T(3, 1); area of RST = 8; AB 8.9 TOP: 1-6 Midpoint and Distance in the Coordinate Plane 10. ANS: m LJK = 37 TOP: 1-3 Measuring and Constructing Angles 11. ANS: (170 8z) TOP: 1-4 Pairs of Angles MATCHING 12. ANS: H TOP: 1-4 Pairs of Angles 13. ANS: B TOP: 1-3 Measuring and Constructing Angles 14. ANS: D TOP: 1-4 Pairs of Angles 15. ANS: A TOP: 1-3 Measuring and Constructing Angles 16. ANS: G TOP: 1-4 Pairs of Angles 17. ANS: E TOP: 1-4 Pairs of Angles 18. ANS: H TOP: 1-5 Using Formulas in Geometry 19. ANS: B TOP: 1-5 Using Formulas in Geometry 20. ANS: F TOP: 1-2 Measuring and Constructing Segments 21. ANS: G TOP: 1-6 Midpoint and Distance in the Coordinate Plane 22. ANS: D TOP: 1-5 Using Formulas in Geometry 23. ANS: C TOP: 1-5 Using Formulas in Geometry 24. ANS: H TOP: 1-1 Understanding Points, Lines, and Planes 25. ANS: C TOP: 1-1 Understanding Points, Lines, and Planes 26. ANS: A TOP: 1-1 Understanding Points, Lines, and Planes 27. ANS: G TOP: 1-1 Understanding Points, Lines, and Planes 28. ANS: D TOP: 1-1 Understanding Points, Lines, and Planes 29. ANS: E TOP: 1-1 Understanding Points, Lines, and Planes 30. ANS: H TOP: 1-1 Understanding Points, Lines, and Planes 31. ANS: D TOP: 1-1 Understanding Points, Lines, and Planes 32. ANS: G TOP: 1-1 Understanding Points, Lines, and Planes 33. ANS: F TOP: 1-3 Measuring and Constructing Angles 34. ANS: B TOP: 1-1 Understanding Points, Lines, and Planes 2

35. ANS: C TOP: 1-1 Understanding Points, Lines, and Planes 36. ANS: F TOP: 1-2 Measuring and Constructing Segments 37. ANS: G TOP: 1-2 Measuring and Constructing Segments 38. ANS: D TOP: 1-6 Midpoint and Distance in the Coordinate Plane 39. ANS: E TOP: 1-2 Measuring and Constructing Segments 40. ANS: H TOP: 1-2 Measuring and Constructing Segments 41. ANS: B TOP: 1-2 Measuring and Constructing Segments 42. ANS: H TOP: 1-1 Understanding Points, Lines, and Planes 43. ANS: F TOP: 1-3 Measuring and Constructing Angles 44. ANS: D TOP: 1-3 Measuring and Constructing Angles 45. ANS: A TOP: 1-2 Measuring and Constructing Segments 46. ANS: B TOP: 1-2 Measuring and Constructing Segments 47. ANS: G TOP: 1-3 Measuring and Constructing Angles 48. ANS: G TOP: 1-3 Measuring and Constructing Angles 49. ANS: B TOP: 1-3 Measuring and Constructing Angles 50. ANS: F TOP: 1-3 Measuring and Constructing Angles 51. ANS: E TOP: 1-3 Measuring and Constructing Angles 52. ANS: D TOP: 1-3 Measuring and Constructing Angles 53. ANS: C TOP: 1-4 Pairs of Angles 54. ANS: A TOP: 1-3 Measuring and Constructing Angles 55. ANS: D TOP: 1-7 Transformations in the Coordinate Plane 56. ANS: B TOP: 1-7 Transformations in the Coordinate Plane 57. ANS: C TOP: 1-7 Transformations in the Coordinate Plane 58. ANS: H TOP: 1-7 Transformations in the Coordinate Plane 59. ANS: G TOP: 1-7 Transformations in the Coordinate Plane 60. ANS: A TOP: 1-7 Transformations in the Coordinate Plane 61. ANS: G TOP: 1-5 Using Formulas in Geometry 62. ANS: F TOP: 1-5 Using Formulas in Geometry 63. ANS: A TOP: 1-5 Using Formulas in Geometry 64. ANS: C TOP: 1-5 Using Formulas in Geometry 65. ANS: B TOP: 1-5 Using Formulas in Geometry 3

Geometry - Chapter 1 - Corrective #1 [Answer Strip] A 54. H 18. H 30. H 42. B 19. D 31. F 43. D 55. F 20. G 32. D 44. B 56. G 21. F 33. A 45. C 57. D 22. B 34. B 46. H 58. C 23. C 35. G 47. G 59. A 60. H 12. B 13. D 14. A 15. G 16. E 17. H 24. C 25. A 26. G 27. D 28. E 29. F 36. G 37. D 38. E 39. H 40. B 41. G 48. B 49. F 50. E 51. D 52. C 53. G 61. F 62. A 63. C 64. B 65.

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