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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 mABC.
_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 2mPTE = mRTE.
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