Geometry Midterm PRACTICE TEST Jan



PRACTICE MIDTERM Geometry ~ Jan. ’14Name _______________________________ Hour _______PART I: Multiple Choice1. Find the value of the variable and BC, if B is between A and C. (draw a diagram!)1. _________ [A] 9; 27[B] 6; 17[C] 7; 21[D] 6; 301733550108585 2. If AB = 53 and AC = 81, find BC.2. __________[A] 5 3[B] 134[C] 28[D] 323. Find the distance between the points P(5, 1) and Q(4, 2). 3. __________[A] [B] [C] [D] 82167640085725 4. Find the length of 4. __________ [A] [B] 16 [C] 32 [D] 5. In the figure ,bisects Ifand5. __________-80962564135 Find[A] 68°[B] 75°[C] 71°[D] 61°3080385-170815 6. Name an angle complementary, but not adjacent to AOE.6.__________[A] [B] [C] [D] 7. Find the unknown angle measures. 7. __________-695325130175 [A] [B] [C] [D] 8. Which shows an irregular, concave pentagon?8.__________[A] [B] [C] [D] 9. Find the distance from K(2,7) to the midpoint of CD, with C-4,-3and D(6,1)9._________[A] 3 [B] 65 [C] 65 [D] 1010. Rewrite the statement in if-then form: All rectangles have four sides.10. __________[A] A figure is a rectangle if and only if it has four sides.[B] If a figure has four sides, then it is a rectangle.[C] A figure has four sides if and only if it is a rectangle.[D] If a figure is a rectangle, then it has four sides.11. Find the converse of “If it is Friday, then I go for a drive.” 11._________[A] If it is not Friday, then I do not go for a drive.[B] If it is Friday, then I do not go for a drive.[C] If I do not go for a drive, then it is not Friday.[D] If I go for a drive, then it is Friday.258508534290012. What value of x makes the polygon regular?12._________[A] 11[B] 83[C] 3[D] 1213. Which of the following is false? 13._________[A] A convex polygon can be regular.[B] A n-gon always has n angles.[C] A right triangle is sometimes equilateral[D] A regular polygon is always equiangular14. Which of the following is a valid conclusion that can be reached from (1) and (2)?14. __________ (1) If two angles form a linear pair, then they are adjacent. (2) If two angles are adjacent, then they share no common interior points.[A] If two angles are adjacent, then they form a linear pair.[B] If two angles form a linear pair, then they share no common interior points.[C] If two angles share no common interior points, then they form a linear pair.[D] If two angles form a linear pair, then they are congruent.381000015049515. In the figure shown,andWhich of the following is false?15. __________[A] & are alternate exterior angles.[B] [C] & are corresponding angles. [D] -920750154940For #16-19, use the diagram below. The lines l and m are parallel.16. Find the measures of16. _________[A] [B] [C] [D] 17. Identify the special name for the angle pair 1 & 2. 17. __________ [A] Alternate Exterior[B] Alternate Interior [C] Consecutive Interior [D] Corresponding18. Identify the special name for the angle pair 3 & 6. 18. ___________ [A] Alternate Exterior[B] Alternate Interior [C] Consecutive Interior [D] Corresponding19. If m4 = (5x – 10) and m1 = 135, find the value of x. 19. ___________ [A] 29[B] 13 [C] 11 [D] 5520. What is the measure of angle x? 20. ___________-4635509525[A] [B] [C] [D] 21. Which triangles can be proven congruent if V is the midpoint ofand 21. ___________-463550104775 [A] and [B] and [C] and [D] all of these 22. Which postulate or theorem can be used to prove that?22. ____________-34925016510[A] SAS[B] ASA[C] SSS[D] Not enough information 23. Which postulate or theorem can be used to prove that23. ___________-46355066675[A] SSS[B] ASA[C] SAS[D] Not enough information 24. Which postulate or theorem can be used to prove that?24. ___________-40640055245[A] SAS[B] ASA[C] SSS[D] Not enough information 3230880-31178525. Given:is the angle bisector ofand25. ___________ Find x and [A] ; [B] ; [C] ; [D] ; 34702754064026. Find the value of x and the if is an altitude of , 26. ___________ , and .[A] [B] [C] [D] 27. Which postulate or theorem can be used to show that the triangles below are similar? 27. ___________-94043528575[A] SSS Similarity[B] AA Similarity[C] SAS Similarity [D] The triangles are not similar.28. Which postulate or theorem can be used to show that the triangles below are similar?28. ____________-70485044450[A] SSS Similarity[B] SAS Similarity[C] AA Similarity[D] The triangles are not similar.29. Which postulate or theorem can be used to show that the triangles below are similar?29. ___________-79692581915[A] SAS Similarity[B] AA Similarity[C] SSS Similarity[D] The triangles are not similar.PART II: Short Answer.Use the figure below for problems 30 & 31. In the figure,bisectsandbisects-84391541275 30. Ifandfind a. 31. Ifandfind32. Draw an example of vertical angles. Mark what is true about a pair of vertical angles.33. In the statement below, the hypothesis with one line and underline the conclusion with 2 lines. “If I earn a 90% on my midterm, then I will get an A in Geometry”.34. Complementary angles always have a sum of _______.35. Explain the difference between 2 angles that form a linear pair and 2 angles that are supplementary. Include a diagram to show how they are different.36. List the six pairs of congruent corresponding parts if (3 angle pairs & 3 side pairs)-43497526670Angles: ____________ ______________________________Sides: ___________________________________________37. (a) If a triangle has exactly 2 congruent sides it is called a(n) __________________ triangle. (b) If the vertex angle of this triangle is 150, what is the measure of one of the other 2 angles? ________ 38. What are the next 2 numbers in the pattern? 5.25, 5.5, 5.75, _______, ________39. Give 3 side lengths that will form a triangle and 3 side lengths that will not. Explain why and why not.40. If the perimeter of an equilateral triangle is 90 mm, what is the length of each side? ___________41. Draw and label an example of a regular convex polygon with 3 sides, 4 sides, and 6 sides.42. The two triangles below are similar.(a) Find y. (b) Find the scale factor from the larger triangle to the smaller triangle.392493543815263906015240899160167005464756524193543. Given: . Find x.44. Which is the shortest side in the triangle?Tell which special segment is illustrated by the diagram. (perpendicular bisector, angle bisector, median, or altitude)-50355540005493458513335011436354000545.46.47.48.___________________ _____________________________________________________________Write a biconditional statement using the conditional statement & converse.-285750148590 49. Determine whether a true biconditional can be written from the conditional statement. If not, give a counterexample.-356870-7620 50. -404495131445 51. Solve for the variable(s). -404495463553009900147955 52.53.-4978401397003009900139700 54.55.453390085725 56. Find the radius of circle A, with center A(3,2) and point B(5,-2) on the circle.57. For circle A in #56, with center A(3,2) and point B(5,-2) on the circle, find the coordinates of point C, given that CB is a diameter of the circle.58. A bag contains 3 blue marbles, 4, green marbles, and 5 orange marbles. You choose a marble, put it aside, and then pick another. What is the probability that you choose 2 blue marbles?59. A math coach is assembling a 5 player team for an upcoming tournament. If she has 14 players to choose from how many ways can she choose a team?60. There are 30 people in the computer club. If they are choosing a president, vice-president, and treasurer how many ways can they do so?61. A certain math class has 14 girls and 11 boys as shown in the table. If a student is randomly selected, find the probability that the student is a freshman or a male.FreshmenSophomoresTotalsMales6511Females10414Total16925For 62-63 use the property to complete the statement.Reflexive Property: _____ 4Transitive Property: Ifl 2 and 4 2, then ____ ____. Multiple Choice What type of triangle has side lengths of 14, 11, and 25?A. AcuteB. RightC. ObtuseD. NoneDecide whether the numbers can represent the side lengths of a triangle. If they can, classify the triangle as acute, right, or obtuse. 26, 35, 62 14, 18, 29 30, 72, 78 Find the value of the variable. -11430062865Find the value of the variable.352425116205 ................
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