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Unformatted text preview: Noine Midgeat‘ Test  '  . l: Fr'orn'thelist at the right below, select the one best choice which matches each identify ANSWERS
’iﬁg sentence or phrase'in items 1—10. Write the letter of your choice in the appropriate
blank. '
ﬁAn‘unoeﬁned term. (a) Absolute value. (n) HL Theorem. 1. . WNW.
. .. ,. (b) Altitude. (0) Identity. '
i2._"lrnpiles at least one. (a) Between. (P) Isosceles. 2. . . _
(d) ‘Complementary angles. (q) Length. 
f . (e) Converse. (r) Linear pair. ..,,,,.,....
4. Sum of measures 15 130. (0 Convert set. (5) Parallelogram. 4. . can —
~§.Arsneeial ease of SSA. . (3) Coordinate. (t) Plane. ' , .5. .mwmsw
' ' . (h) Diagonal. (‘1) Ray. '
15. Has only one Cl‘ld pomt. (l) Euclid. . (V) 5AA Theorem. . 5' tamer“1%“?ro
7". Every theorem has one. (j) Existence. 7 ”WW—a
(k) Exterior angle. (x) uniqueness.
‘8; Measure of a segment. (I) Halfplane. (y) Vertex. a. .WWﬂe—e
'9 Assingie point: (:11) Hypotenuse. 9. we“: ll. Circle '1‘ if the statement is true. Circle F it' the statement is raise. 12. The length of a segment isthe difference of the coordinates of_its end points. 12. ‘73!“ ff 33 Thﬁ measure qf'an exterior angle of a triangle is greater than the measure of either 13. “7"“ If?
remote interior angle. 17. The lengths of the Sides of a'tn'angle can be 34, 33, and 49. I _ . 17 ET“ F 18. 'Ir AACB a zinc, then mac is isosceles. 18 ’7" F 19. A. given segment may have two biseetors. 19 "I F: 20. ll'mAABC n 45 and macs}: = 20, then must) = 65. .' 20. ”T g: m. In items 2125. solve each prolaletn and write your answer in the approrriatc blank to
the right. '  ' 21. The measure of an angle is ﬁve times the measure of its complemml What 55 1h: 21 “msgmﬁs¢m.~¢
’ measure of the angle? 22. What is the measure of the supplement of an angle of 125 "' 2: degrees? 22' NW :19  I IV. Complete each sentence with the correct symbolks) or \vord(s). 29431. A set A of points is convex if for every (29) .‘P and Q: 35—37. Given points A and B, ray 21—1.? is the set which is Q1 of ﬂ and the 56*
of all points Csuch that (37) . oi‘A, (so) lies (3i). :9. = . azmﬁyg—cwm $340.1“ E of a triangle is a perpendicular segment from £51 of the triangle 33‘ wmwmmm
to the £91. '39. ﬂﬂmmgﬂ V. In the blank to the right of each item 41—43, print the letter corresponding to the choice which correctly answers the question. If more than one chalce is correct, give all correct choices.
W 41. Which congruence'conditions, abbreviated in the choices which follow, are sulﬁ
cient forproving two triangles congruent? (a) SAS. (b) AAs. _ (c) AAA. ' (d) SSA. (e) 533.
42. Given AABC with 34—3 5' ﬂ and D On ‘3? such that 775 g TED—5'. What names
apply to LTD"? (3) Biscctor. (_b) Altitude. (C) ARE15 “5°30"
(:1) Median. _ (e) Hypotenuse. 44. Given three coplanar lines. Into how many regions can they separate, a plane? .
(a) Three (b).Four. (c) Six. (:1) Seven. (e) Eight. ‘ ,7 ...__, . c
214$ 
4a. In AABC. A}: = on and D is on 273? such that
' . “40 — DC. lfmAADC = 75. what is MAB?
A l ‘H. WWW i a I Wm:rl_rzvﬁ.fFIT.W 48' am 10. T 11. T '12. 'r
13. '1‘ 1“. T
lS.”T 15.}1" 17. T 18. T '72:“; 1 [4456 ﬂuctﬁns Circle T iﬁ“+he statement is true. Circle P if the statement
is false. ' F 1.
F 2.
P 3.
F H. s.
F 5
 I
P 7.
F B. 10. ll. 12.
13. 1“. 1'5 0 17. '13. 15'." If two lines are cut by a transversal, each pair of
alternate interior angles are congruent. Two lines perpendicular to a third line are parallel.
Two angles are each acute if they.are complementary. The base angles of an isosceles triangle are always
acute angles. .y The longest side of a triangle is called the hypotenuse. An exterior angle of a triangle is_greater thaneach
interior angle of the triangle. .  A median of a triangle is perpendicular to the side to which it is drawn. The bisector of the vertex angle of an isosceles triangle
is perpendicular'to the base of the triangle. A triangle can be formed having sides of lengths 89",
105", and 17". (—e
The shorteié segment" from point If to A3 is the perpendicuhr
from P to . .. . . ‘ If an angle of one triangle is greater than an angle of a
second triangle. than the side opposite the angle in the
first triangle is longer than the side opposite the angle
in the second. If tno angles are each acﬁte, they are complementary. The converse of the statement "if a triangle is equilateral
it is equiangular" is the statement “a triangle is
equilateral if it is equianguler." In triangle ABC, if (A) I. C. then AB < BC. No triangle has tno right anglesr ££act1y one plgn. contains a given line and a point not
on that line. To prove uniqueness we must prove there_is at most one. In a plane, all points equidistant from two given points
are collinear. 33. an." 35.
35.
37.
SB.
39. 141. I42. 1&3. Will.
H5. '45. HT. H8.' H9. .50. 51.
52.
53.
51?. .éa HHHHHHHH' a a a a 2'! "PI "1 '11 "1! m_ m .w w w" M m at Circle T if the statement is true. Circle F if the statement(
is false. 33. 2."
.
' :— 3H;
35.
35. i 37. 3b.
39.‘
km
141. ll2. I13. ,3“. IH5.
I+5. ii7. us. ' us. so. 51.
52‘.‘ "53. S" The union of two half:spaoés which have a common ﬁaoe is
called space. ' .3‘ Any two goints are collinear. Each side.of an angle isla ray. Two perpendicular lines this four right_ang1es. A triangle is therunion of three lines. If two angles are conglementary, they are each acute angle;
Vertical angles are never supplementary. ,. . Every triangle is a convex set. If i point is in the interior of an anglemof'a triangle,
it is in the interior of the triangle. . If.two angles are supplementary. they are each obtuse
angles. ' The suﬁplement of an angle of (90  xy'is an angle of? .
(x + 59)..  ( 'lhe_“then“ olause,o§_a theorem is called the hypothesis. Alltequilateral triangles are dongruent. ‘A median of a triangle bisects a side of the triangle. :: glad—21:24:05. then AB'= max—ELK. and LB 95.4“ In triangle mad: if LA gm, then 53. 5 AC. The biseotor of an angle ofa triangle bisects the side
opgosite the angle. Two triangles are congruent if two sides and an angle
of one are congruent.to:tyo sides and an angle of the othﬁrhl " " If ass... sr = HK, and ADE LE, then‘ Ann'sE Asnx. If AABCE 15mm, then AC = NR, AB = ND, and Les/.3.
If R8,: As, St = KS, and ”ELK, then ARST‘ELAAGK. It is possible for two lines to intersect so that three
the angles formed have measures of H0, 50, and MD. ‘
. I { —> ——>
3) AB and BA are _________ the same ray. 3) always b) sometimes c) never d) most likely : 8) Give ajustiﬁcation for the following statement: AABC :—: AABC a) Transitive Property of Equality
b) Reﬂexive Property of Congruence
c) Symmetric Property of Congmence “ cl) Reﬂexive Property of Equality ‘
9) golve'for 9:: Figure not to scale
a) x: 25
b) X: l2 _
c) x = 30
d) x :22
29) Given AQRS a ATE?
a &‘ _ _ ifs =93x+1 andTV E 711'“ 6 ﬁnd the length of OS and TV
_ .  c. S M l d. 2t]. 30) From the ini'onnau'on In the diagram, can you prove AFDC? g A5133? EVpl ain p ‘
G 0 (.3 in" s? F
‘a. yes‘byASA I . . . .. ,.
h. yegbyA‘A a :1:le SAS 32') Which overlapping trlan gles are congruent bf ALAS? c, 44935 a 5055
d. AliDC "= AEDJq 33) The sides efan isosceles triangle have lengtltsJﬁIﬁ‘ H3. The 1335‘“ “35 lensﬂiEXral What is the len'zth
ofthe use? ‘ J " ‘ h a. {8 C. l1 t. q d. cammtbe detenm’ned 34) Name the smallest angle at'LsBC. The diagram is not t0 scale. C. A H 6 3., 4:1
13. 43
c. Two angles are the same size and smaller than the third.
:1 LC ‘
35) Which three lengths cauld be the lengths ofthe sides ofa triangle?
3. 12 cm, 6 cm, 18 cm e. 1 em’llcmi 1 £1 em
13. JD emi'lcnt 6 cm :1. ll] em’ 15 cmibl cm 36) Two sides of 3 triangle have lengths S and 13. 1Which inequalities describe the values that possible lengths for
the third side? " a. X98andﬂ‘l3 . ._ c. Kipsandxdal
33 325313‘1353‘ , d. “iiimldkﬁﬂ ‘3‘? What is the inverse of the statement “If the sky is blue, then it is
i not raining"? . A. If the sky is not blue. then it is raining.
B. If it is not raining, then the sky is blue.
C. If it is raining, then the sky is net blue.
D. if the sky is blue, then it is raining. 5%) Complete thestatement:1n ALMN, LM + LN_'_?_.
A.<LN 3. >MN C.=LN D.>LN+LM Part I (10 points) Always, Sometimes, or Never (A. S. or N) 1 A median of a triangle bisects a side of 1
thetriangle.
I 2 IThe complement of an acute angle is an 2 obtuse angle. ' 3 in an isosceles triangle, the median to the
base is the altitude of the base. 4 if Ki? is the perpendicular blsector of 55, 4
then fl") is the perpendicular bisector of , AB. 6 Two lines perpendicular to the same plane 6
are perpendicular to each other. 8 The blsector of an angle of a triangle 8
bisects the side opposite the angle. 9 if two triangles have all their 9 corresponding angles congruent. then
their corresponding sides are congruent. .10 intriangleACDJfEEllEBJhen A , 10 a = gco. ' Part II (20 points) Multiple Choice 11 Which of the following MAY be assumed 11 __.,_ from the diagram? a LWXY is a right angle is Z is the midpoint ofW? z
: LWZY is a straight angle cl LY is acute v x .
e W E W 12 which of the following is false? 12 ..'__.._ aAB=AB initials—A
cA—Br—zrﬁ dAB=BA
e all ofthe above 13 If Li is supplementary to 42, /_3 is supplementary to (.4, and (.2 "=" L4.
then: a £1543 is 41542 c 41244
d it is supp.to¢3 e 42 is supp.toz.4 14 in the diagram, XE 5 [TE and LA "2" (.D.
in order to conclude that AABC 2e ADEF
by SAS, it is necessary to know that: aABELE . A D hLACBELDFE cit—Cam? dFEE—F ellET s r c s
15 “inaplanef'ﬁE—CandDBE'DT: Then ami‘é—é 5"Bll5“'¢§oe§c trims—é enoneofthese 17 Which of the following do NOT determine
a plane? a twoparallel lines I: three noncollinear points c a line and a point not on the line
at two perpendicular lines e none of the above (they each
determine a plane) Part ill (16 points) Multiple Choice 21 22 23 24 if the measure of an angle exceeds its 2‘! supplement by 20, then the measure of
the angle is: a100 bBO :55
d35 e125 in order to prove that a point lies on
the perpendicular bisector of a
segment, it is necessary to show: a the point is on the segment b the distances from the point to the
endpoints of the segment are equal c the point is the midpoint of the
segment d the point is the perpendicular blsector
,of the segment e all of these 22—.— If two angles are congruent and 23
supplementary, the angles must be: a adjacent angles in acute angles
c obtuse angles d straight angles
e right angles If the vertex angle of an isosceles 24
triangle is 40", then each base angle is: a 70° in .140" c 40° ' d 20° e 50° ...
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 Winter '09
 Johnson
 Algebra

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