* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
Download Unit 1 Corrective
Analytic geometry wikipedia , lookup
Perspective (graphical) wikipedia , lookup
Plane of rotation wikipedia , lookup
Pythagorean theorem wikipedia , lookup
History of trigonometry wikipedia , lookup
History of geometry wikipedia , lookup
Perceived visual angle wikipedia , lookup
Projective plane wikipedia , lookup
Lie sphere geometry wikipedia , lookup
Trigonometric functions wikipedia , lookup
Cartesian coordinate system wikipedia , lookup
Multilateration wikipedia , lookup
Rational trigonometry wikipedia , lookup
Compass-and-straightedge construction wikipedia , lookup
Duality (projective geometry) wikipedia , lookup
Euler angles wikipedia , lookup
Name: ________________________ Class: ___________________ Date: __________ ID: A 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 Name: ________________________ ID: A 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 Name: ________________________ ID: A 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 Match each vocabulary term with its definition. 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 Name: ________________________ ID: A Match each vocabulary term with its definition. 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 Match each vocabulary term with its definition. 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 Name: ________________________ ID: A Match each vocabulary term with its definition. 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 Match each vocabulary term with its definition. 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 Name: ________________________ ID: A Match each vocabulary term with its definition. 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 Match each vocabulary term with its definition. 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 Name: ________________________ ID: A ____ 54. the set of all points outside an angle Match each vocabulary term with its definition. 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 Match each vocabulary term with its definition. 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 ID: A 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 ID: A 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. 13. 14. 15. 16. 17. ANS: ANS: ANS: ANS: ANS: ANS: H B D A G E TOP: TOP: TOP: TOP: TOP: TOP: 1-4 Pairs of Angles 1-3 Measuring and Constructing Angles 1-4 Pairs of Angles 1-3 Measuring and Constructing Angles 1-4 Pairs of Angles 1-4 Pairs of Angles 18. 19. 20. 21. 22. 23. ANS: ANS: ANS: ANS: ANS: ANS: H B F G D C TOP: TOP: TOP: TOP: TOP: TOP: 1-5 Using Formulas in Geometry 1-5 Using Formulas in Geometry 1-2 Measuring and Constructing Segments 1-6 Midpoint and Distance in the Coordinate Plane 1-5 Using Formulas in Geometry 1-5 Using Formulas in Geometry 24. 25. 26. 27. 28. 29. ANS: ANS: ANS: ANS: ANS: ANS: H C A G D E TOP: TOP: TOP: TOP: TOP: TOP: 1-1 Understanding Points, Lines, and Planes 1-1 Understanding Points, Lines, and Planes 1-1 Understanding Points, Lines, and Planes 1-1 Understanding Points, Lines, and Planes 1-1 Understanding Points, Lines, and Planes 1-1 Understanding Points, Lines, and Planes 30. 31. 32. 33. 34. ANS: ANS: ANS: ANS: ANS: H D G F B TOP: TOP: TOP: TOP: TOP: 1-1 Understanding Points, Lines, and Planes 1-1 Understanding Points, Lines, and Planes 1-1 Understanding Points, Lines, and Planes 1-3 Measuring and Constructing Angles 1-1 Understanding Points, Lines, and Planes 2 ID: A 35. ANS: C TOP: 1-1 Understanding Points, Lines, and Planes 36. 37. 38. 39. 40. 41. ANS: ANS: ANS: ANS: ANS: ANS: F G D E H B TOP: TOP: TOP: TOP: TOP: TOP: 1-2 Measuring and Constructing Segments 1-2 Measuring and Constructing Segments 1-6 Midpoint and Distance in the Coordinate Plane 1-2 Measuring and Constructing Segments 1-2 Measuring and Constructing Segments 1-2 Measuring and Constructing Segments 42. 43. 44. 45. 46. 47. ANS: ANS: ANS: ANS: ANS: ANS: H F D A B G TOP: TOP: TOP: TOP: TOP: TOP: 1-1 Understanding Points, Lines, and Planes 1-3 Measuring and Constructing Angles 1-3 Measuring and Constructing Angles 1-2 Measuring and Constructing Segments 1-2 Measuring and Constructing Segments 1-3 Measuring and Constructing Angles 48. 49. 50. 51. 52. 53. 54. ANS: ANS: ANS: ANS: ANS: ANS: ANS: G B F E D C A TOP: TOP: TOP: TOP: TOP: TOP: TOP: 1-3 Measuring and Constructing Angles 1-3 Measuring and Constructing Angles 1-3 Measuring and Constructing Angles 1-3 Measuring and Constructing Angles 1-3 Measuring and Constructing Angles 1-4 Pairs of Angles 1-3 Measuring and Constructing Angles 55. 56. 57. 58. 59. 60. ANS: ANS: ANS: ANS: ANS: ANS: D B C H G A TOP: TOP: TOP: TOP: TOP: TOP: 1-7 Transformations in the Coordinate Plane 1-7 Transformations in the Coordinate Plane 1-7 Transformations in the Coordinate Plane 1-7 Transformations in the Coordinate Plane 1-7 Transformations in the Coordinate Plane 1-7 Transformations in the Coordinate Plane 61. 62. 63. 64. 65. ANS: ANS: ANS: ANS: ANS: G F A C B TOP: TOP: TOP: TOP: TOP: 1-5 Using Formulas in Geometry 1-5 Using Formulas in Geometry 1-5 Using Formulas in Geometry 1-5 Using Formulas in Geometry 1-5 Using Formulas in Geometry 3 Geometry - Chapter 1 - Corrective #1 [Answer Strip] ID: A A 54. _____ H 18. _____ H 30. _____ H 42. _____ B 19. _____ D 31. _____ F 43. _____ F 20. _____ G 32. _____ D 44. _____ G 21. _____ F 33. _____ A 45. _____ D 22. _____ B 34. _____ B 46. _____ C 23. _____ C 35. _____ G 47. _____ D 55. _____ B 56. _____ C 57. _____ H 58. _____ G 59. _____ A 60. _____ H 12. _____ B 13. _____ D 14. _____ H 24. _____ F 36. _____ A 15. _____ G 48. _____ C 25. _____ G 37. _____ A 26. _____ D 38. _____ G 16. _____ B 49. _____ E 17. _____ G 61. _____ F 62. _____ F 50. _____ G 27. _____ E 39. _____ E 51. _____ D 28. _____ D 52. _____ E 29. _____ A 63. _____ C 64. _____ H 40. _____ C 53. _____ B 41. _____ B 65. _____