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Test 2 Review 1 Multiple Choice Identify the choice that best completes the statement or answers the question. ____ 1. Which number is equivalent to ? a. –3.75 b. –0.375 ____ ____ c. –0.38 d. 3.8 2. Which number is not between and a. c. b. d. 3. Which values describe the positions of A and B? A B –2 a. –1 c. and b. –2.25 and –0.75 ____ and 4. Which of the following rational numbers are equivalent? , D: a. A and B b. C and D c. B and D d. A and C 5. Which quotient is equivalent to –5.3? a. b. ____ and d. A: 2.7, B: 7.2, C: ____ ? c. d. 6. Which point represents –4.4? A –4.8 a. A b. B B C –4 D –3.2 –2.4 c. C d. D –1.6 ____ 7. Which point represents F G –1.6 ? H –0.8 I 0 a. F b. G ____ 1.6 c. H d. I 8. Determine the measure of the central angle subtended by minor arc BC. The radii divide the circle into equal parts. a. 45 b. 90 ____ 0.8 c. 60 d. 120 9. If C = 96, determine the measure of M. a. 96 b. 56 c. 48 d. 32 ____ 10. Which statement is true about the following circle? a. SCR is smaller than SQR b. CR is a chord c. PQR is subtended by minor arc PS d. none of these ____ 11. Determine the measure of M. a. 186 b. 93 ____ 12. Which angles are subtended by minor arc PS? c. 87 d. 74 a. C only b. R, Q, and CSR c. C, R, and Q d. none of them ____ 13. Determine the measure of X. a. 40 b. 10 c. 20 d. 80 ____ 14. Which angles have the same measurement? a. V and Z b. X, Z and Y c. V, X and Y d. V, X and Z ____ 15. Determine the measure of A and E. a. 96, 30 b. 150, 84 c. 75, 42 d. not enough information ____ 16. Determine the measure of ABC and CBD. a. 60, 60 b. 60, 50 c. 50, 50 d. 100, 50 ____ 17. If BD = 6 cm and BC = 3 cm then the length of AD is: a. 3 cm b. 9 cm c. 12 cm d. 8 cm ____ 18. In the diagram below, AB = BD and GC = EB. Which angles are 90? a. ABC, CDE, CBD b. GFE c. ABC, GFE d. CDE ____ 19. A chord is 7.0 cm from the centre of the circle of radius 18.0 cm. How long is the chord? a. 18.0 cm c. 16.6 cm b. 19.3 cm d. 25 cm Short Answer 20. Write as the quotient of two integers. 21. Order the following numbers from least to greatest. –13.2, 2 , 22. Order the following numbers from least to greatest. 23. List three rationals between -4 1/3 and -3 2/3. 24. List three rationals between 3 3/4, 4 3/4. 25. If DA = 12 cm, determine the length of BC and CD. 26. Draw a circle. Use chord properties to find its centre. 27. Determine which line segment is a chord, which is a tangent, and which is a radius. 28. If PN = 29.5 cm and CM = 14.0 cm, determine the length of PO, to the nearest tenth of a centimetre. Problem 29. Do you agree or disagree with the following statement? Why? You can always name more than one other rational number between any two rational numbers. 30. Determine the measure of all angles within the circle. 31. Is it possible to draw another 75 angle without a protractor? If so, how? Post Test 2 Extra Review Answer Section MULTIPLE CHOICE 1. ANS: OBJ: 2. ANS: OBJ: 3. ANS: OBJ: 4. ANS: OBJ: 5. ANS: OBJ: 6. ANS: OBJ: 7. ANS: OBJ: 8. ANS: OBJ: KEY: 9. ANS: OBJ: KEY: 10. ANS: OBJ: KEY: 11. ANS: OBJ: KEY: 12. ANS: OBJ: KEY: 13. ANS: OBJ: KEY: 14. ANS: OBJ: 15. ANS: OBJ: KEY: 16. ANS: OBJ: 17. ANS: OBJ: 18. ANS: OBJ: B PTS: 1 DIF: Grade 9 REF: 1.1 N3 TOP: Interpreting Rational Numbers KEY: rational numbers A PTS: 1 DIF: Grade 9 REF: 1.1 N3 TOP: Interpreting Rational Numbers KEY: rational numbers C PTS: 1 DIF: Grade 9 REF: 1.1 N3 TOP: Interpreting Rational Numbers KEY: rational numbers D PTS: 1 DIF: Grade 9 REF: 1.1 N3 TOP: Interpreting Rational Numbers KEY: rational numbers A PTS: 1 DIF: Grade 9 REF: 1.1 N3 TOP: Interpreting Rational Numbers KEY: rational numbers B PTS: 1 DIF: Grade 9 REF: 1.1 N3 TOP: Interpreting Rational Numbers KEY: rational numbers B PTS: 1 DIF: Grade 9 REF: 1.1 N3 TOP: Interpreting Rational Numbers KEY: rational numbers B PTS: 1 DIF: Grade 9 REF: 9.1 SS1 TOP: Relating the Central Angle to an Inscribed Angle subtend| arc| central angle C PTS: 1 DIF: Grade 9 REF: 9.1 SS1 TOP: Relating the Central Angle to an Inscribed Angle subtend| arc| central angle| inscribed angles D PTS: 1 DIF: Grade 9 REF: 9.1 SS1 TOP: Relating the Central Angle to an Inscribed Angle subtend| arc| central angle| inscribed angles B PTS: 1 DIF: Grade 9 REF: 9.1 SS1 TOP: Relating the Central Angle to an Inscribed Angle subtend| arc| central angle| inscribed angles C PTS: 1 DIF: Grade 9 REF: 9.1 SS1 TOP: Relating the Central Angle to an Inscribed Angle subtend| arc| central angle| inscribed angles C PTS: 1 DIF: Grade 9 REF: 9.1 SS1 TOP: Relating the Central Angle to an Inscribed Angle subtend| arc| central angle| inscribed angles C PTS: 1 DIF: Grade 9 REF: 9.2 SS1 TOP: Comparing Inscribed Angles KEY: subtend| arc| inscribed angles A PTS: 1 DIF: Grade 9 REF: 9.2 SS1 TOP: Comparing Inscribed Angles subtend| arc| inscribed angles| central angle B PTS: 1 DIF: Grade 9 REF: 9.2 SS1 TOP: Comparing Inscribed Angles KEY: subtend| arc| inscribed angles C PTS: 1 DIF: Grade 9 REF: 9.3 SS1 TOP: Chord Properties KEY: perpendicular bisector| chord B PTS: 1 DIF: Grade 9 REF: 9.3 SS1 TOP: Chord Properties KEY: 19. ANS: OBJ: KEY: perpendicular bisector| arc| subtend| chord| inscribed angles C PTS: 1 DIF: Grade 9 REF: 9.4 SS1 TOP: Applying Chord Properties perpendicular bisector| chord| Pythagorean theorem SHORT ANSWER 20. ANS: PTS: 1 DIF: Grade 9 TOP: Interpreting Rational Numbers 21. ANS: , , -13 2 REF: 1.1 OBJ: N3 KEY: rational numbers PTS: 1 DIF: Grade 9 REF: 1.2 TOP: Compring and Ordering Rational Numbers KEY: negative rational numbers | positive rational numbers 22. ANS: OBJ: N3 PTS: 1 DIF: Grade 9 REF: 1.2 TOP: Compring and Ordering Rational Numbers KEY: negative rational numbers | positive rational numbers 23. ANS: For example, -4 1/3, -4, -3 5/6 OBJ: N3 PTS: 1 DIF: Grade 9 REF: 1.2 TOP: Compring and Ordering Rational Numbers KEY: negative rational numbers | positive rational numbers 24. ANS: For example, 3 7/8, 4 1/4, 4 1/2. OBJ: N3 PTS: 1 DIF: Grade 9 REF: 1.2 TOP: Compring and Ordering Rational Numbers KEY: negative rational numbers | positive rational numbers 25. ANS: AD = CD = 6 cm OBJ: N3 PTS: 1 DIF: Grade 9 TOP: Chord Properties 26. ANS: E.g., OBJ: SS1 REF: 9.3 KEY: chord PTS: 1 DIF: Grade 9 TOP: Chord Properties 27. ANS: chord: JH, tangent: KH, radius: CI REF: 9.3 OBJ: SS1 KEY: chord| perpendicular bisector PTS: 1 DIF: Grade 9 TOP: Tangent Properties 28. ANS: 18.7 cm REF: 9.5 OBJ: SS1 KEY: chord| tangent PTS: 1 DIF: Grade 9 TOP: Tangent Properties REF: 9.5 OBJ: SS1 KEY: tangent| Pythagorean theorem PROBLEM 29. ANS: Agree: Any number that can be written as a quotient of integers is a rational number. If you write one rational number that is between the two others, you can always choose a different integer denominator to write another rational number that is between the one you just wrote and one of the original numbers. For example, between and you can name . Between and you can name . PTS: 1 DIF: Grade 9 REF: 1.1 OBJ: N3 TOP: Interpreting Rational Numbers KEY: rational numbers 30. ANS: SCR = 104, SRC = 38, RCP = 104, CPR= 38, PRC = 38, RPQ = 26, PQR = 128, QRP = 26 PTS: 1 DIF: Grade 9 REF: 9.1 OBJ: SS1 TOP: Relating the Central Angle to an Inscribed Angle KEY: subtend| inscribed angles| central angle| arc 31. ANS: Yes, choose any point on the same side as N and join it to M and P. Since these two angles are subtended by minor arc MP, they will be of equal size. PTS: 1 DIF: Grade 9 TOP: Comparing Inscribed Angles REF: 9.2 OBJ: SS1 KEY: subtend| inscribed angles| arc| central angle