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GEOMETRY 1A 1ST SEMESTER REVIEW DIRECTIONS: Solve each problem. Find the answer that matches your solution. Usa a number 2 pencil to fill in the letter on your scantron, making certain that you fill in the bubble completely. If you need to erase be sure to erase completely. DO NOT USE CALCULATORS 1. Which of the following can be concluded from the diagram? 5. Given: Prove: A S, X, T are collinear B C D 2. In the diagram, which statement is not true? A B C D Statement 1. 1. Given 2. 3. 2. ????? 3. AlternateInterior Angles are congruent 4. ASA 4. 3. If a student finds a pattern in specific cases and then forms a conjecture, the student is A using deductive reasoning B using inductive reasoning C using facts to form a logical arguement D forming a theorem Reason A B C D Alternate Interior angles are congruent Vertical angles are congruent Corresponding angles are congruent CPCTC Given: Prove: 4. Which of the following is a counterexample to the statement below? Statement A B C D postulate space plane segment 1. 2. 3. 4. Reason 1. Given 2. Addition Prop of Equality 3. ????? 4. Substitution Prop A Addition Property B Segment addition postulate C Symmetric Revised July 10 D Reflexive 7. In the diagram . A B C D CPCTC HL AAS Symmetric Property 10. Given: Complementary angles have sum of 90º. If we assume , it would follow . This contradicts the given statement that . Which conclusion is valid? A . B C D 8. If an angle is acute, then its measure is less than 90º. What is the hypothesis of the statement? A is less than 90º B is not less than 90º C an angle is not acute D an angle is acute Which of the following is a true “if-then” statement of the above? A If are complementary angles, then B If , then are complementary angles. C If , then are not complementary angles. D If are not supplementary angles, then complementary angles. . are 11. Which of the following is a counterexample to the statement: “All obtuse angles are congruent” ? 9. Given: A Prove: B C Statement Reason 1. 1. Given 2. 2. Alternate Int Ang 3. 4. 5. 3.Reflexive 4. ASA 5. ??? D Revised July 10 12. Given the triangle below, which conclusion is valid? 16. Fill in the blank. “Similar triangles are __________ congruent.” A always B never C sometimes D cannot be determined 17. What similarity theorem can be used to prove the triangles below similar?: A B C D 13. Use the law of detachment to make a valid conclusion: If two angles are vertical angles then they are congruent A B C D 14. In the diagram A B C D SSS HL SAS AA 18. In the parallelogram below, . which pair of triangles can be proven congruent? A B C D Which of the statements must be true? A B C D all of the above 19. Two regular octagons are always A similar B congruent C equal D Adjacent 15. Which is not a valid way to prove two triangles congruent? A SAS B ASA C SSA D SSS Revised July 10 20. 22. Two sides of a traingle have lengths of 7 and 11. Which of the following cannot be the length of the third side? A 11 B 13 C 15 D 19 Given: Prove: 23. In the diagram, which angle must be congruent to to prove lines a and b are parallel? Statement 1. 2. 3. Reason 1. Given 2. Def of Midpoint 3. Vertical angles are congruent. 4. ??? 4. What reason can be used to prove the triangles are congruent? A B C D ASA AAS SAS CPCTC A B C D 24. In the diagram 21. Given: Prove: Which statement about angles true? A B C D must be What reason can be used to prove that the triangles are congruent? A B C D SSS AAS AAA CPCTC Revised July 10 28. In the diagram, parallel lines p and m are cut by transversal d. The measure of . 25. In the diagram, which statement must be true? A B C D 26. What must be the value of x in order for l and m to be parallel? 27. In the diagram, parallel lines r and s are cut by transversal t. must be true? 29. What is the value of x? A B C D A B C D Which statement about A B C D Which statement about A B C D 13 7 2 1 30. Two angles of a triangle have measures of . Which of the following could be the measure of an exterior angle of the triangle? A B C D must be true? Revised July 10 31. What type of triangle is ? y C 120º D 180º 5 4 34. Given the diagram below, what is N 3 ? 2 1 –4 M –3 –2 –1 –1 1 2 3 4 5 P6 x –2 –3 –4 –5 A acute B isosceles C right D equiangular 32. In the diagram, is an isosceles triangle. A B C D 28º 52º 80º 132º 35. Given the diagram below, what is Find the value of x in the diagram. A 57 B 45 C 40 D 17 33. In A B C D ? 88º 33º 55º 92º 36. Given the diagram below, what are the values of angles x and y? A B C D ; A 60º B 90º Revised July 10 37.What is the slope of the line perpendicular to the line graphed below? 39. Given the diagram below: y 4 3 2 1 –4 –3 –2 –1 –1 1 2 3 4 x –2 –3 Which statement could be used to prove is a right triangle? A Slope of is positive B C are midpoints –4 A B C D D 40. Given the diagram below, 38. The diagram shows . Which statement could be used to show that is an equilateral triangle? A B what is the length of the ladder? A 12 ft B 13 ft C 14 ft D 15 f C D Revised July 10 41. What is the slope of the line shown? 135° n 135° m A B A If corresponding angles are congruent, then the lines are parallel. B If alternate interior angles are congruent, then the lines are parallel. C If vertical angles are congruent, then the lines are parallel. D If alternate exterior angles are congruent, then the lines are parallel. C D 42. Which of the following does not always produce two congruent segments? A B C D 45. What is the equation of the line perpendicular to y 3 x 5 and passes through point (6, 1). perpendicular segments a midpoint of a segment a segment bisected by another segment corresponding sides of congruent triangles 43. Sophia knows that an interior angle of a regular polygon measures 162º. How many sides does the polygon have? A 16 B 18 C 20 D 22 A B C D 1 y x5 3 y 3x 5 1 y x3 3 y 3x 3 4 46. Which of the following best describes the triangles shown below? 44. Using only the given information in the diagram below, what reason makes the lines m and n parallel? 60° 10 A B C D 60° 12 Similar but not congruent Congruent but not similar Both similar and congruent Neither similar nor congruent Revised July 10 47. In the figure below, n is a whole number. What is the smallest possible value for n? n 9 15 A B C D 12 7 24 6 Revised July 10 GEOMETRY 1A Answer Section MULTIPLE CHOICE 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. 14. 15. 16. 17. 18. 19. 20. 21. 22. 23. 24. 25. 26. 27. 28. 29. 30. 31. 32. 33. 34. 35. 36. 37. 38. 39. 40. 41. ANS: ANS: ANS: ANS: ANS: ANS: ANS: ANS: ANS: ANS: ANS: ANS: ANS: ANS: ANS: ANS: ANS: ANS: ANS: ANS: ANS: ANS: ANS: ANS: ANS: ANS: ANS: ANS: ANS: ANS: ANS: ANS: ANS: ANS: ANS: ANS: ANS: ANS: ANS: ANS: ANS: D C B C B B D D A b C A B D C C D C A B A D D C D D B B D B a D C B C B A D B D a STA: STA: STA: STA: STA: STA: STA: STA: STA: STA: STA: STA: STA: STA: STA: STA: STA: STA: STA: STA: STA: STA: STA: STA: STA: STA: STA: STA: STA: STA: STA: STA: STA: STA: STA: STA: STA: STA: STA: STA: STA: 1.0 1.0 1.0 3.0 2.0 2.0 2.0 3.0 2.0 3 3.0 3.0 3.0 4.0 4.0 CA GEOM 5.0 4.0 4.0 4.0 5.0 5.0 CA GEOM 6.0 7.0 7.0 7.0 7.0 7.0 7.0 12.0 12.0 12.0 12.0 12.0 13.0 13.0 13.0 17.0 17.0 17.0 17.0 17.0 Revised July 10 42. 43. 44. 45. 46. 47. ANS: A ANS: C ANS: A ANS: C ANS: A ANS: B STA: CA GEOM 5.0 STA: CA GEOM 12.0 STA: CA GEOM 7.0 Revised July 10