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Geometry A Chapter 1 Review Chapter 1 Review Name____________________________Hr.____ You should understand and recognize the definition of the following VOCABULARY words. Lesson 1.1 A. Point B. Collinear Points C. Plane D. Coplanar Lesson 1.2 E. Line F. Line Segment G. Congruent Lesson 1.3 H. Distance I. Midpoint Lesson 1.4 J. Ray K. Angle L. Acute angle M. Right angle N. Obtuse angle Lesson 1.6 U. Concave V. Convex Q. Polygon X. Regular Polygon Y. Perimeter Lesson 1.5 O. Complementary Angles P. Supplementary Angles Q. Linear Pair R. Vertical Angles S. Adjacent Angles T. Perpendicular Lines Lesson 1.7 Z. Bisector AA. Angle Bisector BB. Perpendicular Bisector Show all work for the following questions. For Questions 1-4, use the figure at the right. 1. Name three collinear points. ________________ 2. Name two points in plane P. ________________ 3. Name the intersection of plane P and the plane that contains points B, C, and D. A. point B B. BD C. BC D. BCD 4. Give another name for FE . 5. Find the length of BC . __________________________ 1 Geometry A Chapter 1 Review 6. Use the number line to find MN. 7. Find the distance between M(-2, 3) and N(8, 2). Round to the nearest tenth. 8. Given A(-4, 7) and S (5, 3), find the coordinates of the midpoint of AS . What quadrant does the midpoint lie in? In Questions 9 and 10, you will be dealing with bisectors. You will need to consider the following: What does it mean for an angle to be bisected? What happens if a segment is bisected? 9. Find the length of LM if ON is the bisector of LM and LN = 3x + 2. Hint: Label LN first, then think about how LN and NM must be related if ON bisects LM . 10. In the figure, BA and BC are opposite rays and BD bisects EBC . If mEBD = 4x + 16 and mDBC = 6x + 4, find mEBD . 11. T is between R and S. Find x and RT if RS = 8x – 3, RT = 3x + 5, and TS = 27. x = _______ RT = ______ 2 Geometry A For Questions 12 and 13, refer to the figure at the right. 12. Chapter 1 Review a) Measure YZU to the nearest degree. b) Classify YZU as acute, right, or obtuse. c) YZU is a linear pair with what angle? ___________ d) Calculate the measure of the angle in 12c. 13. a) Measure TZV to the nearest degree. b) Classify TZV as acute, right, or obtuse. c) TZV is adjacent with what angle? _____________ For Questions 14 and 15, refer the figure at the right. 14. a) Name the angle pair formed by 1 and 3 . _______________ b) If m1 4x 2 and m3 2x 5 , find x. 1 2 3 4 c) Find m1 ___________. Find m3 ___________ 15. a) Name the angle pair formed by 2 and 3 . _______________ b) If m2 7 x 8 and m3 5x 14 , find x. 1 2 3 4 c) Find m2 _________. Find m3 ___________ 3 Geometry A 16. Suppose QP QR , mPQS 3x and mSQR 8x 2 a) Find x. __________ b) Find mPQS . Chapter 1 Review . . . . P S __________ Q c) Find mSQR . __________ R Q For Questions 17 and 18, use the figure at the right. 17. Which describes this figure? A. B. C. D. hexagon, concave, not regular pentagon, concave, regular hexagon, convex, not regular not a polygon 18. What is x for a perimeter of 108 kilometers? 19. For what value of y is ABC a regular triangle? 20. Label the angle below AXB . 21. Construct an ANGLE BISECTOR and label it XR . Label the segment below VM . Construct a PERPENDICULAR BISECTOR. . . . . . 4