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Geometry 300 Chapter 1 Test Review Name _______________________________ Date_________________________________ 1. For the equation -40 – 8y + 6x = 0, do the following: a) transform the equation into slope-intercept form, b) determine whether the point (-12, -14.5) is on this line. 2. Given point A(-20, 13) and point B(-24, 60), do the following: a) find the length of AB to the nearest hundredth, b) find the coordinates of the midpoint of AB using the MIDPOINT FORMULA. 3. An obtuse angle has a measure of (15x + 15). What is the range of possible values for x? Geometry 300 Chapter 1 Test Review Name _______________________________ Date_________________________________ 4. The sum of three times an angle and four times its complement exceeds twice its supplement by 15. Find the measure of the angle, its complement and its supplement. 5. Determine the possible values of x. Use the value(s) of x that make sense for this problem to find the measures of the four angles. 6. Find the value of x, y and m FCD if m F 10 x 8 y 14 m FCB 4 x 5 y 2 m FBC 3x 5 y 36 Geometry 300 Chapter 1 Test Review Name _______________________________ Date_________________________________ Use the diagram at the right to answer questions 7-12. 7. Are points F, E, J and K coplanar? 8. Name the intersection of planes AFG and LCB. 9. Name the intersection of plane GHC and KN . 10. Are points N, L and J collinear? 11. Is NM contained in plane GFJ? 12. Does AK contain point E? True or False: 13. _____ An angle can be named by its vertex. 14. _____ A line contains two planes. 15. _____ If A, B, and C are distinct point on a line, then AB + BC = AC. 16. _____ A midpoint must be positive. 17. _____ If line k lies in plane M, then the intersection of the line k and plane M is a point. Always – Sometimes – Never (write A, S or N) 18. _____ If a ray divides an angle into two acute angles, then that ray bisects the angle. 19. _____ If two angles are adjacent and congruent, then they are vertical angles. 20. _____ If two intersecting lines form congruent adjacent angles, then the lines are perpendicular. 21. _____ If two angles are supplementary, then they are a linear pair. 22. ____ If two angles are supplementary and congruent, then they are right angles. Geometry 300 Chapter 1 Test Review Name _______________________________ Date_________________________________ In the diagram below, AM bisects RAL and AS bisects MAR . 23. m RAL = 5x – 7, m MAS = x + 3; find m MAR 24. Solve for x and y, given the following information: AC BD mABD 7 x 2 y 57 mDBC 10 x 4 y 12 25. Given the endpoint (2, 5) and the midpoint (8,7), what are the coordinates of the other endpoint (14, y)? THIS REVIEW COVERS MANY OF THE TYPES OF PROBLEMS THAT WILL APPEAR ON THE TEST, BUT NOT ALL. REVIEW YOUR HOMEWORK, NOTES AND QUIZZES IN ADDITION TO COMPLETING THIS WORKSHEET. STUDY THE VOCABULARY AS WELL!