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Geometry/Trigonometry 2 Name __KEY___________________ Review: Chapter 1 Review Date __________ Block _____ I. Complete the following statements. _Point_____________ 1) The three undefined terms in geometry are ______, ______, and ______. _Line______________ _Plane_____________ _Space____________ 2) The set of all points is called ______. _do not do__________ 3) Lines that lie in the same plane and do not intersect are _____. _do not do__________4) Lines that intersect and form right angles are called _____. _AB or BA_________ 5) A B can be denoted _____. _AB or BA_________ 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 Angles____ 11) _____ are two angles in a plane that have a common vertex and a common side but no common interior points. _None_____________12) How many endpoints does a line have? _One______________13) How many endpoints does a ray have? _Two______________14) How many endpoints does a segment have? _Midpoint__________ 15) A _____ is the point that divides a segment into 2 congruent pieces. _Angle bisector______16) A _____ is the ray that divides an angle into 2 equal angles. _Segment bisector___ 17) A _____ 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 _____. _Line______________ 21) If 2 planes intersect, they intersect in a _____. _Point_____________ 22) If 3 planes intersect, they could intersect in a _____ or a _____. _Line______________ _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. _AE____28) Name three lines that intersect at point E. _EF___ _EH___ C B A D _ABCD_ 29) Name the plane that does not intersect plane FGHE. _CDGH_ 30) Name two planes that intersect in CG. _BCGF_ _ABCD_ 31) Name three planes that intersect at point D. _ADHE_ F E _CDHG_ _BCGF__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__36) Name three planes that don’t intersect EH and don’t contain EH. _BCGF__ _ADGF__ _BH____37) Name the intersection of planes BCHE, BAHG and BDHF. G H Complete the following. A 135 ? 25 180 40) B _110°_ 38) Find the mABC. _80°__ 39) Write the number that is paired with the bisector of C 0 ABC. The coordinates of C and D are -1 and 17 respectively. M is the midpoint of CD, and N is the midpoint of CM. Find: (a) CM and (b) the coordinate of N. (hint: draw a picture!) 40. a. _CM=9___ b. _N = 3.5_ Name the definition, postulate, or theorem that justifies the statement about the diagram. _____________ 41) Def. of Midpoint If T is the midpoint of CE, then CT = TE. _____________ Def. of angle bisector If TP bisects RTE, then RTP PTE 42) _____________ Midpoint Theorem 43) If T is the midpoint of CE, then TE = ½ CE. Seg. Addition Post. 44) _____________ CT + TE = CE Angle Bisector Thm. _____________ 45) _____________ Def. of Seg. Bisector 46) A R T C If TP is the bisector of RTE, then 2mPTE = mRTE. If T is the midpoint of CE, then TP bisects CE. Since we just completed Chapter 13 material, Distance Formula, Slope and Midpoint formula have not been included in this review, but they are on the quiz. P E