- -

---

MATH 2 SEMESTER 1 FINAL VERSION A_~_

DO NOT WRITE ON THIS TEST Multiple Choice Identify the letter a/the choice rhpt best completes the statement or answers the question.

Determine whether the statement is true orla/se. Explain your reasonillg.

1. Given FG,J!)oint E is between F and G, then E is the midpoint of FG. 6. Refer to the figure below. Name the two planes which intersect a~ YZ a. True; FE~EG and E is between them. T

b. False; it is not known that FE:= EG.

2. Detemline whether the statement is true orfa/se. Explain your reasoning.

Congruence of segments is symmetric, therefore if TW:::: WO, then WO:::: TO. -- - I

a. True; WO and TO are the same length, and therefore are congruent.

b. False; WO and TO are notthe same length, and therefore are not congruent.

3. IfRV~STandRS:::: VT,thenRV:::: VT. a. True; congruence of segments is transitive. a. planes WZX: XYZ c. planes TVIV, TY)( b. False; the transitive theorem does not apply since RV is b. planesXYZ. TVW d. planes WZl~ )(YZ

not congruent to RS, and VT is not congruent to ST. Name the parts ofthe rectangular prism below.

DI"Crw and /abel a jlgure for the situation described. C'

4. noncoplanar points K, L, and M a. c.

Q

AO{ L ...'- .. - ... _--- ..

,..~ .... fI

~+

~

,+b. d.

~ -' +' ~

" J

-; all 3egmems parallel to I\IL

a. OL, NM,JK c. JK, NO, lV/v! b. JK, NO, QP d. OL,NM,PK

8. all segments skew to PO5. Find the perimeter of the rectangle described. / = 3.7 mm, W = 9.7 mm ---­

a. PK, OL, NO, QP c. NM, KL QN,JKa. 13.4mm c. 26.8mm

b. 17.9mm" d. 35.9mm' b. QN. ML, QJ, KL d. V~'vf, AiL, QI JK

9. The ccordinate5 of the endpoints of a segment arc given. -1. oy ·\SA Find the coordinat:::s of the midpoint of the segment. (-2, 3), (-9, ;) p .c,.'

/\ (\(1" ' /' \ .I \. "a. 1-.:.. _7] c. [-~l, -2'1 \~ / >('1' ~

" \ .. \ "- , ,

./ I \

/~':\. i /r\..-";'

_4'---~c pi I T'~ 7'1b. (-~ I , 2 ) (I, !

7 '~jL ? LB~ LS C. AC == RT

b. L ..1 ~ LR d. LB== LR

Find the measure o,":i}(c' angle. Fi:ld the meusure of an angle that is supplementary to LHNlvl.

ll\ <_"....., .."_~J-.,~,--,.~' ! ~'\. -... I ~.. I,

t-./i'1 i'oi

B. 0° c. 53°C. fV, b, 90e d. 180 0

',#, .1: if'"

%z12 '1' ideiJllf,' Ihe motjoll as a Iransfutioil, r~f!ection, or rotation.

16.J?t

T/// "~:::<"'," ...~.10. L3

./ .,a. /ilL] = 90° C. Il7L3=3if _// ''.''' ­

h, 'IIL3 = 60" d. Il7L3~5if

11. Ll ...".:~ I~ ,......ja. !!ILl = 90° C. mLI = 1(1° b. mLI = 60° d. mLI = 100°

a. rotation lJ. translation12. L5 c, retlectioll a. Il7L) = 30° C. IiILS -- 5(1°

b. mLS ~ 90° d. mLS = 6C)" 17, '.came the Cln!,:ie in j'Jl1l' W8yS.

NOllie Ihe' (lddiliuno! congrlle'l7i pUrlS needed so Ihat The mongles ore ['(!i;grllem, y13. by AAS

,c 1 It \,

//\ /) ~'\ \\ o R

\,.,.... \. a. LPQR, LP, LRQF. LS c . LPQR, LQ, LRQP, L5 \,\,

.'\, c. LQPR, LQ, L5, LRQP d. LRQP, LS, LR, LPQR\ \.

LLiry /)"" ~ I LL..ij'lx D'

a, }(J' ~ DE C. n'", LD b. L,(~ LE d. LE", LY

Find the value ofthe variable.

22. Find the measure of LY. 18.

G

////\\

/ " \96·/ > E Ii'

a. 180 c. 90

b. 96 d. 84

19. y

~ '"'"""""""

" ~J ,,~

X z a. 13 c. 25 b. 18 d. 45

20. "lame two angles that [01111 a linear pair with LNJM a. Lll4.JK, LKJP c. LNJP, LMJK b. LMJL, L.L.JK d. LiVJO, LO}P

',1/

[1\ III , ,IT\

\1/ \Ii

21. If mL3 = 8x and I11L2 = 4x, find x, mL3, and I7IL2. a. x = 45, mL3 = 53, mL2 = 49 c. x=45,mL3=37,mL2=41

b. x = 30, mL3 = 38. mL2= 34 d. x ~ 15, I1lL3 = 120, mL2 = 60

I~" "''':-,l'-;rh

"-,

- :)x z

a. 45° c, 900

'"JiOb. .J, d. 1270

Use the figure below to name the following on pmblems 3 and 4

I~~

:7

E

G

23. a line containing points F and G

a. GF c FC ---t

b. FG d. FG

24. three collinear points

a. F, E, G c. D, E, r' b. D,E, G d. D, E, fJ

Identify rhe pair ofangles as a/tern ate 111 terior, alternate exferior, cOl1secutive interior, or vertical. Use this image Ie answer qllestions 71'0.;'" and.2 7

'J, L3 and L5 a. alternate interior C. alternate exterior

b. consecutive interior d. vertical

, 26. L7 and L6

a. vertical C. consecutive interior b. aItemate interior d. alternate exterior

27. L2 and L7 a. cOl1se::;utive interior C. alternate exterior b. vertical d. alternate interior

28. \Vhich triangle is right scalene? a. c.

'~lr 2~/ ~~ //

..../ ~//t./ ,//

,// l-- ­

b. d.

Af'\ ~ \

/' ~L\\ I/

! \

\ \

Use a straightedge or compass to determine thejbllowing

29. Which of the following segments is the same length as the segment drawn below.

a.

b.

C.

d.

Use the figure below. .'1\

\1/

30. Name three angles that are adjacent to LOJN. a. LA1JL, LlJK, LOJP c. LOIP, LOJK, LNJL b. L.oJK, LNJL, LLlK d. LOIK, L,VJM, LMJL

3 J. Use tJ1C number line to find the coordin~te of the midpoint ofJff.

J G Ie: H

-4 -3 -:: -I

a. 1.25 C. :75 b. d. 0.75

List the angles ill orde/'ji'om (east to greatest measure.

"')-'_. u '~·-~.2nnn

,." ...•,> V8 nUll _

...--_.-r''---''----" ../~./'. 13 nun

I'V

a. LV, LU.LW c. LW,LU, LV b. LV, LW,LU d. LU,LV,LW

33. Choose an equation of the line passing through the point (-7. - 8'I with slope m = 5.\. )

a. r = -5x-27 C. y=5x-27

b. y = 5x-"-27 d. y = -5.1'+27

v

37. Find the missing measure in the right triangle.Rejer to the figure iJelOll'.

ccmw 7 em

29 em

a. 484 em c. 29.83 em u b. 6cm d. 18 em

T 38. Vse the number line to determine which statement is true.

34. If T)( bisects LWTY and mLl =32, find mL2. p Q R S T (I • ••• • I)c. 30a. 32 -8 -i -6 -5 ----4 -3 -2 -1 4

d. 64b. 34

a. R is the midpoint of QS. C. P is the midpoint of QS . Determine' whelher the point is il1 the interior, exterior, or on the angle.

b. Q is the midpoillt of FR. d. none of these

35. fdel7!ifj' the hypotheses and the conclusion ({the: statelllent.

39. Ifstudents study hard, then they learn math. j~ a. H: if students study hard; C: then they learn math

b. H: if they learn math; C: then students study hard

c. H: students study hard; C: they learn math

a. interior d. H: they learn math; C: students study 11ard

b. exterior

". on ReteI' to rhcjigllre helow

36.

V R

a. interior

b. exterior 40. If JJ1 LMOP = 58°, what is the measure of an angle that

c. OE is complementary to LNOR? a. 42° c. 32°

b. 90" d. 180°

Use the terms adjacent angles. linear pair, or neither to describe angles 1 and 2 in as many ways as possible. Find the value ofx IF1 the figure.

46.41.

, 1 11\

a. adjacent angles; linear pair c. 2.djacent angles b. linear pair d. neither

]denliti' (he converse ofthe statellleJ1f. a. 120 c. 62

b. 58 d. 124 47. If points do not lie on the same line, then they are noneollinear.

a. lfpoints are noncollinear, then they do not lie on the same line. 42. Find the area of a re:tangle with length 2.9 meters and width 3.8 meters. b. Points are noncollinear.

a. 5.51 m" c. 13.4 m2 c. Points that do not lie on the same line are noncolJ:near.

b. 6.7m2 d. II.02m" d. Points do not lie on the same line.

De/ermine ifthe STOIement is true or false. //l C;

A D G R B T W Z N ,. I I I I I .. ////// ~ ~ ~ 0 234

/

43. GW>GB I

( // I a. True b. False

F H

44. WZ? TZ a. True b. False 48. Detel1nine the range of possible value~: for x if GF = ! 5, !IF = 13, 8nd GH = x.

a. -2 <x < 2 c. -2 <x< 0 b. O<x<28 d. 2 <x < 2815. Write t:le slope-intercet=t form oft11c equation of tile line passing

2 throui.~h the point (2. - 1) and perpendicular to the line v = -~x - 5.

. , j 49. If FG = 12 and G1J = 6, then FH must be greater than ? an d less than ?2 3

a. v =--x- 4 c. y=-x+4 a. 6,12 C. 0,;23 2

b. 1, 18 d. 6,182 3

d. y:=-x-4b. Y =-~x+4 j 2

(-- -----+ _ t---)

Given that BF1- DH, BE1- BG and ED and EH are opposite, Classijy the triangle by ifS angles and by ifS sides. determine ;frhe statement is tr'ue orfalse.

54.It,_ -11 1..- !IE "CC<~,~e.:--Y'-'

c, /. a. obtuse, isosceles c. obtuse, el[ui lateral

E 1~2' !:... 6T~~

G -:.::.. 55.

b. acute, scalene

Refer to the line below. If RS = 38.9 and QS =

d. obtuse, scalene

87, find QR.

H ',1/ ( .

Q . R

. ) S

50. mLEBF-20 < mLFBG-20 a. True b. False

a. b.

125.9

38.9

C.

d. 53.1

48.1

51. InLDBF 1= mLFBH

a. True h. False Find x so that e III

Givell the triangle below, decide lvhether the darkened segment or line is WI (,/tilude, a perpendicular bisector, both, or neither.

56. ~.::

52. 71DA\ /'\/B\

\

\.(' a. altitude

b. perpendicular bisector

c. d.

both

neither

57,

::t. 87 b. 78

c. 90 d. 96

Fil1dthes]ope()fth~linethroughthepoints (3, 4) Cllld(5, 7L

3 a. 7 c.

4 3 2

b. d. -2 3

53. w;::;"---7 U

~ ~ .~..,-- /' /

>\ // /)6 ,/

k.'/I'>V

58. Find the distance between the pair of points P(-2, nand Q(-l 0,6). Round to the nem'est tenth, if Ilecessary.

a. 9.4 c. 11\.9 b. 4.7 d. 16.3

a. b.

r altitude

perpendicular bist<ctor

c. d,

both

neither

61. Find [he arca ufthe parallelogram.

lOOin.

59. Use the slope and y-intercept to detem1ine which is the !l:ranh of v = -2\' ­ 6 t\i~

'k

~

'~H+ .i 1 I _

l-r-l-i i' ~f-i-- jrl-­1 ITT Ii

I" II ,!f­.

-' .

'I-~ ,-l-lH ' I--~I I . 'J.-t- 1--­

- ,-­~ . i . f._fLt .... y

I I +/1

'I ' _. --v+i­

I--li~ -I-

17+-t­

' __+;_!'"7

1-;= '1

a. 7400 in. 2

b. 4350 in,2

Find the I1cxtjigure in the pattern

c.

d.

8700 in."

6438 in."

a.

b.

c.

~

. ;1');' t.T.I ++-~--- -t-­ j u~ '-~--H-H- I~

'11.--- ­ - - - - ·-hl~ I I '

I \._-_._. -­ .11 ' \-'1' '­ "Lll

--r--,-"1 I I ' ;

1'1-1 , I i H :\.

~

d.

/ i _ C_. i I ;­I i

'/ I Ii ....

'I !~~

~I~ .f)1= -tj_c=t·:_+- ­ -l:-+'++FFF-1 1­ '1 i T ~..L--l-

i ri- -1'-1-. j·····l· '!I __ 1't -1-1­ I-.J~l'·~

I 1\ i I­I -n-i-+-; r

L. . 'fl~-~~t+ ­-1-­... -, - ~,+!-- ""\ -r- 1,_.. ,..,.

. -1 c­ ,i·,++i.'\-­ ...... I·, .

~ ""\~ .+--I~-I 'I -'\ ,-' L_--'-:= t '-t-'o ,+il I i 1-1±i. i 1-[­ ~ [1- I--TI'tiTIT ,,-Ii

'";l1\1 I-J

>t

i 1-.

62.

63,

!\

/\ LI 1(' ~') , \ I \ .I\ ..

- ----j ::.

(~"l "-.~//

b.

~)

Find the length of the segment in centimeters_

em 2 c; 5 0:; 3

I I

c.

d.

r//~'\ " \ .\.... /.1 '",---/

~\" / \')

\,---,/

9 10 11

I I ;:

Repfc:ce the 0 to make a true sentcnce

60. (1.

h. 5.5 Cll1

10 em C.

d. 50 cm

5 em

J'~~ Fil;d the next Ihree terms a/the sequence.

_.­~-----

-~

,.r ..... 64. 2,4, 8, 16, ...

~ L-

Ll 0 L3

a. b.

32, 64, 128 64,80,128

C.

d. 20,28,32 none ofthese

a. b. < C. >

Determine whether the statemel1l is true orla/se For the triangle below,find the values o(the vatiahles.

65. If two distinct lines ill a plane intersect the intersection is at a point.

a. True b. False 69.

'7

;;'~ < V

4~~7"

66.

dl>il

"9=~, /)1

~.", . "­

< '" X

a. b.

x=45:y=60

x=45;y=45 c. d.

x = 90;y = 60

x=90;y=45

a.

b.

9

9

13

~ c.

d.

13

9 9

13

70. K

(\/ \

'" Y/"-.. / \ '1/ ".7 >" \.,

/ \/y' ~ J L

a. x=7;y=60

b. x=60;.1'=7 c. d.

x=30;y=7

x= 14;y=30

Choose an equivalent form oflhe stalement.

67. ;\1arci is allowed to drive if she passes her driving lest.

a. If she passes her driving test, Marci is allowed tu drive.

b. If Marci is allowed to drive, she passes her driving test. c. Marci is allowed to drive.

d. Marci passes her driving test.

l'iame the pairs ofparallcf lines or segmen !\'. B

68. l'r~.·~U

a.

b.

M L- -NKII ML - -NK I: klL and NiI:! II KL

c.

d.

NK II KL and NM Ii AH - -NM II KL

7t. LIOD a. 115°; acute

b. 65"; acute c. d.

65°: obtuse

115°; obtuse

Compfete each sentence with sometimes, a/ways, or never. JntiJefiglire below, GA and GE are opposite rays.

72. Parallel planes

a. sometimes

? intersect.

b. always C. never

T'. _J. Refer to the coordinate plane below. Name the point at (-2, -3).

i .~ 'I

fl=f-Rlf1-1--­

._ \~_;-+-i ++ :I ,-r r-' ~ -I~ - _ r' tl1-f

-l- I-- ,L+-1­ , - ! • I I 'r -+ -­I

[-­ jj --t­-q.. -I-- --I-t--I-­. I

L. ...'. /l

_ . I­ - -, ~ -I-­ ' ·tt­ ~ -J­ I-- -+. I-- Tr

(

+-, f---,!-I-­ j­ -1--1-­ -­'1-+--­;--1­ t-~1Jr'~t'l

':1.:=- Jiltl1=­--L . t­,fI . , .

)(

a. A c. C b. D d. B

75.

A

H "~i

Name a pair of nonadjacent complementary angles.

a. LCGD and LFGH c. b. LBGC and LEGF d.

Ll:GD and LDGC LEGD and LAGB

IdentifY the side with the greatest measure.

74. R'_____~~

85'

..../ ,.?'

SS/ ./"

T

.. " 41~':'--- S/",._

..P---/"

a. b.

RS

TS

c. d.

RT

none of these

10: A

DO NOT WRITE ON THIS TEST Answer Section

MULTIPLE CHOICE

1. ANS: B TOP: Find the midpoints of segments.

2. ANS: B TOP: Identify congruent segments.

3. ANS: B TOP: Identify congruent segments.

4. ANS: B TOP: Draw models o1'points, lines, and planes.

5. ANS: C TOP: Usc a four-step plan to solve problems that involve the perimeters of rectangles.

6. ANS: D TOP: Use basic postulates about points, lines, and planes, and determine their characteristics.

7. ANS: B TOP: Describe relationships among lines, parts oflines, and planes.

8. ANS: D TOP: Describe relationships among lines, parts of lines , and planes.

9. ANS: B TOP: Find the coordinates of the III idpoint of a segment.

10. ANS: 13 TOP: Identify the relationships among pairs of corresponding angles formed by two parallel lines and a transversal.

11. ANS: B TOP: Identify the relationships among pairs of corresponding angles formed by (wo parallel lines and a transversal.

12. ANS: A TOP: Identify the relationships among pairs of corresponding angles formed by two parallcl lines and a transversal.

13. ANS: C TOP: Use the ASA and AAS tests for congruence. 14. ANS: A TOP: Use the ASA and AAS tests ['or congruence. 15. /\1\IS: B TOP: Identit,)! and use supplementary angles.

16. ANS: B TOP: Identily translations, reflections, and rotations. 17. ANS: C TOP: 1\ame angles.

18. ANS: D TOP: Use the Angle Sum Theorem. 19. ANS: B TOP: Use the Angle Sum Theorem. 20. ;\N8: C TOP: Identi fy and usc linear pairs 0 f angles. 21. ANS: D

TOP: Identify thc rclationships among pairs of corresponding angles formed by two parallel lines and a transversal.

22. ANS: D TOP: Use the Exterior Anglc Theorem.

23. ANS: D TOP: Determine characteristics of points, lines, and planes. 24. ;\1\S: A TOP: Determine characteristics of points, Jines, and planes. 25. ANS: B

TOP: Identity the relationships among pairs of interior and exterior angles formed hy two parallel lines and a transversal.

10: A

26. ANS; A TOP: Identity the relationships among pairs of interior and exterior angles formed by two parallcl

lines and a transversal.

27. ANS: C TOP: Identify the relationships among pairs of interior and exterior angles formed by two parallel

linesand a transversal. 28. ANS: B TOP: Identify the parts of triangles and classify triangles by their parts.

29. ANS: C TOP: Use geometry tools.

30. ANS: C TOP: Identify and use adjacent angles.

31. ANS: D TOP: Find the coordinates of the midpoint of a segment.

32. ANS: A TOP: Identify the relationships between the sides and angles of a triangle.

33. ANS: B TOP: Write equations oflines.

34. ANS: i\ TOP: Find the measure of an anglc and the bisector of an angle.

35. ANS: A TOP: Identify parts of an angle.

36. ANS: C TOP: Identify parts of an angle.

37. ANS: C TOP: Use the Pylhagorean Theorem.

38. ANS: A TOP: Find thc midpoints of segments.

39. ANS: C TOP: Write statements in if-then form.

40. ANS: C TOP: Identify and use congruent and vertical angles.

41. ANS: B TOP: Identify and llse congruent and vertical angles.

42. ANS: D TOP: Use a four-step plan to solve problems that invol ve the areas ofrcetanglcs and parallelograms.

43. ANS: A TOP: Apply inequalities [0 segment measures.

44. ANS: 13 TOP: Apply inequalities to segment measures.

45. ANS: D TOP: Write equations of lines.

46. ANS: A TOP: Identify and usc adjacent angles and linear pairs of angles.

47. ANS: A TOP: Write the converses of statements in if-then form.

48. ANS: D TOP: Identi fy and use the Triangle Inequality Theorem.

49. ANS: D TOP: Identify and use the Triangle Incquality Thcorcm. 50. J\NS: B TOP: Apply incqualitics to angle measures.

51. ANS: B TOP: Apply inequalities to angle measures.

52. ANS: A TOP: Identify altitudes and perpendicular bisectors in triangles.

53. ANS: B TOP: Identify altitudes nnd perpendicular bisectors in triangles.

54. ANS: A TOP: Identify the parts of triangles and classify triangles by their parts. 55. ANS: D TOP: Apply the properties of real numbers to the measure of' segments.

56. ANS; 13 TOP: Identify the conditions that produce parallel lines.

57, ANS: B TOP: Find the slopt:s of lines.

58. A.'lS: A TOP: Find thc distance bctwccn two points on the coordinate plane. :;9. ANS: D TOP: Graph equations of lines.

60. ANS: C TOP: Use the Exterior Angle Theorem.

61. ANS: C TOP: Usc a four-step plan to solve problems that involve the areas of rectangles and parallelograms.

2

ID: A

62. ANS: D TOP: Identify patterns and use inductive reasoning.

63. ANS: D TOP: Apply the properties of real numbers to the measure of segments.

64. ANS: A TOP: Identify patterns and usc inductive reasoning.

65. ANS: A TOP: Identify basic postulates about points. lines. and planes.

M. ANS: C TOP: Find the slopes of lines.

67. ANS: A TOP: Write statements in if-then form.

68. ANS: B TOP: Identify the conditions that produce parallel lines.

69. ANS: D TOP: Identify and use the properties of isosceles triangles.

70. ANS: A TOP: Identify and use the properties of isosceles triangles.

71. ANS: D TOP: Measure and classify angles.

72. ANS: C TOP: Describe relationships among lines, parts of lines, and planes.

73. ANS: B TOP: Name ordered pairs on a coordinate plane.

74. ANS: B TOP: Identify the relationships between the sides and angles of a triangle.

75. ANS: D TOP: Identify and use complementary angles.

3