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Test #4, Form A Geometry 1. What is the midpoint of the line segment connecting (3, 5) and (7, 3)? A. (2, 1) B. (2, -1) C. (4, -2) D. (5, 4) E. none of the above 2. What is the slope of the line segment connecting (3, 5) and (7, 3)? A. -1 2 1 B. 2 C. -2 D. 2 E. none of the above 3. By definition, the distance between two circles is A. the distance between the centers B. the sum of the radii C. the length of the shortest line segment connecting the circles D. the difference of the radii E. none of the above 1 4. If OP QR , and the slope of OP is 3, then the slope of QR is 1 A. 3 -1 B. 3 C. D. E. -3 3 none of the above Name: Date: Use the following proof (that if one diagonal MO of quadrilateral LMNO is a perpendicular bisector of the other diagonal quadrilateral LN, then the quadrilateral has a pair of congruent angles) to answer questions 5-8. 1. MO bis LN 1. Given 2. LM MN 2. 3. LO NO 3. 4. MLN MNL 4. 5. OLN ONL 5. 6. MLO MNO 6. 5. The reason for statements #2 and #3 is A. definition of midpoint B. definition of bisection C. if “angles,” then “sides” D. points on a perpendicular bisector are equidistant from the endpoints of the bisected segment E. none of the above 6. The reason for statement #4 is A. definition of angle bisector B. if “sides,” then “angles” C. if “angles,” then “sides” D. CPCTC E. none of the above 7. The reason for statement #5 is A. definition of angle bisector B. if “sides,” then “angles” C. if “angles,” then “sides” D. CPCTC E. none of the above 8. The reason for statement #6 is A. addition property B. ASA C. SAS D. CPCTC E. none of the above 1 9. If OP QR , and the slope of OP is 3, then the slope of QR is 10. Which of the following will not establish that A B? A. A and B are right angles 1 B. A C and B C -1 C. A and B are vertical angles A. 3 B. 3 C. D. E. D. A and B are alternate interior angles E. none of the above -3 3 none of the above Transformations of a Triangle 11. A rigid transformation is one in which the resulting figure is congruent to the original figure. There are three types of rigid transformations: translations, reflections, and rotations. a. Draw coordinate axes. Draw ABC, with vertices at A(3, 1); B(0, 4); and C(1, 5). b. On a separate set of coordinate axes, draw the image of ABC after a reflection across the y-axis. Label all points by name (A’, B’, C’) and coordinates. c. On a separate set of coordinate axes, draw the image of ABC after a rotation of ninety degrees clockwise around the origin. Label all points by name (A’, B’, C’) and coordinates. d. On a separate set of coordinate axes, draw the image of ABC after a translation of six units left and two units up. Label all points by name (A’, B’, C’) and coordinates. A Chord-ial Relationship 12. A chord is a line segment connecting two points on a circle. A diameter is a chord that passes through the center of the circle. a. Draw a diagram showing a chord that is not a diameter of its circle, with a midpoint of the chord labeled. Identify all statements that would be considered “given.” b. Write a two-column proof showing the line segment connecting the center of the circle and the midpoint of the chord must be perpendicular to the chord. 11 .. 1 2 3 4 A B C D E A B C D E A B C D E A B C D E GEOMETRY, TEST 4 5 A B C D E 6 A B C D E 7 A B C D E 8 9 10 A B C D E A B C D E A B C D E GEOMETRY, TEST 4 12 ..