GEOMETRY SEMESTER 1 EXAM REVIEW
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1 GEOMETRY SEMESTER 1 EXAM REVIEW Use the diagram to answer the following questions. 1. Find three points that are collinear. Name 2. Write three different names for line p. 3. Name a point not coplanar with M, R, and Z. 4. What is the intersection of AQ and ZR? 5. Name the plane in two different ways. Find the indicated length. 6. DE 7. AB 8. BD 9. CE Use the number line to find the coordinate of the midpoint of each segment. 10. RT 11. QR 12. ST 13. PR
2 Find the coordinates of the midpoint of a segment having the given endpoints. 14. K(-9, 3), H(5, 7) 15. W(-12, -7), T(-8, -4) Find the coordinates of the missing endpoint given that M is the midpoint of DF. 16. F(5, 8), M(4, 3) 17. F(2, 9), M(-1, 6) 1 and 2 are complementary angles. Given the measure of 1, find m m 1 = m 1 = The measure of an angle is six more than twice the measure of its complement. Find the measures of both the angles. 21. The measure of a complement is ¼ of the measure of its angle. Find the angle measure.
3 3 and 4 are supplementary angles. Given the measure of 3, find m m 3 = m 3 = The measure of a supplement is 3 times the measure of its angle. Find the angle measure. 25. The measure of an angle is five less than four times the measure of its supplement. Find both angle measures. Use the diagram to tell whether the angles are vertical angles, a linear pair, or neither and and and and 8
4 Name the vertex of each angle Name the sides of each angle STV Diagram for #30-41 Write another name for each angle WTS
5 Sketch the next figure in the pattern Write the next three numbers in the pattern , 1, 3, 6, 45. 3, 3, 6, 18, 72, Write the given statement in if-then form. 46. Band members are musicians. 47. The sum of two positive numbers is positive. 48. Two planes intersect at one line. 49. Three noncollinear points make a unique plane. 50. In an equilateral polygon, all sides are congruent.
6 Write each of the forms of the statement, Calculus students are good at math. 51. if-then form 52. converse Write each of the forms of the statement, A poet is a writer. 53. if-then form 54. converse Use the diagram to list all pairs of the defined angles. 55. Vertical angles 56. Corresponding angles 57. Alternate Interior angles 58. Consecutive Interior angles 59. Alternate Exterior angles
7 Find the value of x
8 68. Points A, B, and C are collinear. Point B is between A and C. Solve for x. Determine if the lines are parallel, perpendicular, or neither. 69. y 2 x y 3x x y 5 y 3x y 2x y 2x 8 y 1 x 2 y 2x y 2 x y 3x x y 1 y 1 x 9 3
9 Find the slope of the line that passes through the given points (2, 7) (-1, -3) 76. (3, -1) (3, 4) 77. (0, 5) (-6, 12) 78. (5, 1) (-3, 1) Tell whether the lines through the given points are parallel, perpendicular, or neither. 79. Line 1: (4, 7) (9, 10) 80. Line 1: (1, 2) (5, 4) Line 2: (0, 4) (6, 14) Line 2: (7, 8) (9, 9) 81. Line 1: (5, 2) (9, 5) 82. Line 1: (7, -1) (7, 3) Line 2: (3, 2) (0, 6) Line 2: (8, 2) (5, 2)
10 Write the slope-intercept equation of the line with the given information slope = slope = 2 y-intercept = 7 through (5, 3) slope = through (3, 4) and (6, 5) through (2, Write an equation of the line that passes through (5, 4) and is parallel to y 2x Write an equation of the line that passes through (2, 8) and is parallel to y 1 x Write an equation of the line that passes through (3, 1) and is perpendicular to y 1 x Write an equation of the line that passes through (3, 8) and is perpendicular to y 3 x 5 2
11 91. In the diagram, CD FG. Find the value of x. 92. In the diagram, AB BC. Find the value of x. How many solutions are there for each system of equations. 93. y = -x y = -2x + 3 y = -x + 3 y = 1/2x x + y = 3 x 4y = -12
12 Solve the system of equations using substitution
13 KEY 1. A, Z, and R 2. AZ, AR, and ZR 3. D or Q 4. A 5. plane V, plane AMR ½ ½ 14. (-2,5) 15. (-10, -5.5) 16. D(3, -2) 17. D(-4, 3) and and and and linear pair 27. vertical angles 28. neither 29. linear pair 30. T 31. W 32. TS, TW 33. TS, TV 34. WTV, VTW 35. STW, x = 6, m EBC = x = 10, m IJ D 40. A
14 , 15, , 2160, If you are in band, then you are a musician. 47. If there are two positive numbers, then their sum is positive. 48. If two planes intersect, then their intersection is a line. 49. If three points are noncollinear, then they are in one plane. 50. If a polygon is equilateral, then its sides are congruent. 51. If you are in calculus, then you are good at math. 52. If you are good at math, then you are in calculus. 53. If you are a poet, then you are a writer. 54. If you are a writer, then you are a poet & 4 2& 3 5& 8 6& & 5 2& 6 3& 7 4& & 6 4& & 5 4& & 8 2& x = x = x = 68, y = x = x = x = x = x = x = neither 70. parallel 71. perpendicular 72. neither 73. parallel 74. perpendicular
15 76. no slope neither 80. parallel 81. perpendicular 82. perpendicular 83. y 2 x y 2x y 1 x y 1 x y 2x y 1 x y 2x y 2 x x = x = no solutions 94. one solution 95. infinitely many solutions 96. x = -4, y = x = -3, y = -6
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