Ch 10 Review Multiple Choice Identify the choice that best completes the statement or answers the question. 1. In the diagram shown, the measure of ADC is a. 55 b. 70 c. 90 d. 180 2. What is the measure of AEB? a. 30 b. 45 c. 60 d. 90 3. In the diagram shown, the line CE is a(n) a. inscribed angle c. radius b. perpendicular bisector d. tangent 4. In the figure shown, the measure of SUV is
a. 45 b. 60 c. 75 d. 90 5. What is the measure of line TU? a. 4.5 cm b. 6.0 cm c. 7.5 cm d. 9.6 cm 6. Determine the measure of BCD. a. 30 b. 60 c. 90 d. 120 7. Determine the measure of ADB in the figure below. a. 30 b. 60 c. 90 d. 120 8. What is the measure of AED? a. 30 b. 60 c. 90 d. 120
9. Determine the measure of ACD in the figure shown. a. 30 b. 45 c. 60 d. 90 10. The measure of AEB in the figure shown below is a. 30 b. 45 c. 60 d. 90 11. The measure of LPO in the figure shown is a. 10 b. 17.5 c. 35 d. 45 12. The measure of AED is a. 40 b. 50 c. 70 d. 90 13. In the figure shown, POQ has a measure of
a. 24 b. 48 c. 57 d. 66 14. Determine the measure of PSQ. a. 17.5 b. 33 c. 57 d. 66 15. If a chord connected point T to point Q, the measure of OQT would be a. 27 b. 36 c. 54 d. 63 16. In the figure shown, the measure of ABC is a. 40 b. 45 c. 50 d. 60
Completion Complete each statement. 17. Chord CD touches the circumference of the circle at points C and D. Line OB runs from the centre to a point on the circumference, B. Line OB is a(n) _ of chord CD. Matching Match the correct term to each of the following definitions, descriptions, or explanations. A term may be used more than once or not at all. a. arc e. inscribed angle b. bisector f. subtended c. central angle g. tangent d. chord h. tangent-chord 18. a line segment with both endpoints on a circle 19. an angle with the vertex and endpoints on the circle 20. an angle formed by two radii of a circle 21. a portion of the circumference of a circle 22. a line that touches a circle at exactly one point Match the correct term to each of the following definitions, descriptions, or explanations. A term may be used more than once or not at all. a. central angle d. perpendicular bisector b. chord e. point of tangency c. inscribed angles f. tangent 23. congruent angles that are subtended by the same arc and have their vertices on the circle 24. the point where the tangent of a circle touches the circle 25. an angle which has its vertex at the centre of a circle and its end points on the circumference of the circle 26. angles formed by two chords that share a common end point 27. a line that passes through the midpoint of a line segment at 90 Short Answer 28. A circle with centre O has a diameter of 60 mm. Chord AB is 50 mm long. The chord is bisected at point D. What is the distance between point O and point D? Revise the diagram to show your thinking. Express your answer to the nearest millimetre.
Problem 29. Based on the diagram below, determine the length of AB. 30. The radius of a circle is 90 mm long and passes through the centre of a chord at a distance of 46 mm from the circumference of the circle. What is the length of the chord to the nearest hundredth? Show your thinking. 31. Determine the length of chord PR in the figure below. Show your work, to the nearest whole millimetre.
Ch 10 Review Answer Section MULTIPLE CHOICE 1. ANS: C 2. ANS: B 3. ANS: B 4. ANS: D 5. ANS: B 6. ANS: B 7. ANS: B 8. ANS: C 9. ANS: B 10. ANS: B 11. ANS: B 12. ANS: C 13. ANS: D 14. ANS: B 15. ANS: D 16. ANS: C COMPLETION 17. ANS: perpendicular bisector MATCHING 18. ANS: D 19. ANS: E 20. ANS: C 21. ANS: A 22. ANS: G 23. ANS: C 24. ANS: E 25. ANS: A 26. ANS: C 27. ANS: D SHORT ANSWER 28. ANS: BA = 50 mm DA = 25 mm OA is a radius = 30 mm OD = The length of line OD is approximately 17 mm.
PROBLEM 29. ANS: EAB and EDB are both subtended by arc EB. Therefore, EAB = EDB. EAB is 37. EAB + DBA + AFB form a triangle. AFB = 180 (37 + 53) = 90 Use the Pythagorean theorem since the AFB is a right triangle. The length of AB is 75 mm. 30. ANS: Chord MN has a length of 157.02 mm. 31. ANS: NPQ is a right angled triangle. PR = PQ (Both are legs of an equilateral triangle.) PR = 48 mm Chord PR is 48 mm long.