Geometry Review Chapter 1 Answers

Geometry/Trigonometry 2 Name ________________________ Review: Chapter 1 Date __________ Block _____ I. Complete the following statements. points __________________ 1) The three undefined terms in geometry are ______, ______, and ______. lines __________________ planes __________________ space __________________ 2) The set of all points is called ______. parallel __________________ 3) Lines that lie in the same plane and do not intersect are _____. perpendicular __________________4) X Lines that intersect and form right angles are called _____. AB __________________ 5) A B can be denoted _____. AB __________________ 6) A B can be denoted _____. AB __________________ 7) B A can be denoted _____. AB __________________ 8) The length of AB is denoted _____. positive __________________ 9) Length is always _____ so we use the absolute value of the difference of the coordinates. angle __________________10) A(n) _____ is formed by two rays that have the same endpoint. adjacent __________________11) _____ are two angles in a plane that have a common vertex and a common side but no common interior points. 0 __________________12) How many endpoints does a line have? 1 __________________13) How many endpoints does a ray have? 2 __________________14) How many endpoints does a segment have? midpoint __________________15) A(n) _____ is the point that divides a segment into 2 congruent pieces. angle bisector __________________16) A(n) _____ is the ray that divides an angle into 2 equal angles. segment bisector __________________17) A(n) _____ is a line, segment, ray or plane that intersects a segment at its midpoint. collinear __________________18) Points on the same line are _____. coplanar __________________19) Points on the same plane are _____. point __________________20) If 2 lines intersect, they intersect in a(n) _____. line __________________21) If 2 planes intersect, they intersect in a(n) _____. line __________________22) If 3 planes intersect, they could intersect in a(n) _____ or a(n) _____. point __________________ intersecting __________________23) Two _____ lines determine a plane. right __________________24) An angle with exactly 90 is called a(n) _____ angle. straight __________________25) An angle with exactly 180 is called a(n) _____ angle. obtuse __________________26) An angle with more than 90 but less than 180 is a (n) _____ angle. acute __________________27) An angle with more than 0 but less than 90 is a (n) _____ angle. II. In Questions 28-37 you may have to visualize certain lines and planes not shown in the diagram. Use correct notation. B AE, FE, HE _______________ 28) Name three lines that intersect at point E. A D ABCD _______ 29) Name the plane that does not intersect plane FGHE. _______ BCGF, CDHG 30) _______________ Name two planes that intersect in CG. ADHE, ABCD, CDHG 31) _______________ Name three planes that intersect at point D. BFGC _______________ 32) Name the plane that contains BF and FG. ADGF _______________ 33) The plane that contains points A, D and G. ABFE _______________ 34) The plane that doesn’t contain DG and doesn’t intersect DG. NO _______________ 35) Are points C, D, E and G coplanar? ABCD, BCGF, ADGF _______________ Name three planes that don’t intersect EH and don’t contain EH. 36) POINT H _______________ 37) F E G H Name the intersection of planes BCHE, BAHG and BDHF. Complete the following. 110 38) Find the mABC. =|135-25| _____ A 135 ? 25 40) C 80 _____39) Write the number that is paired with the bisector of ABC. =135+25 2 9 The coordinates of C and D are -1 and 17 respectively. 40. a. ________ M is the midpoint of CD, and N is the midpoint of CM. 3.5 N =-1+8 Find: (a) CM and (b) the coordinate of N. M =-1+17 b. ________ 9 2 9 2 (hint: draw a picture!) CD=|-1-17| M C N D CM=|-1-8| 17 -1 3.5 8 4.5 4.5 180 B 0 18 C