50. CID 120 CCj 40 ( B" 70. (t) 80 CD) 140. cd Cannot be determined 1V 90. ct) 60. CJ1) 30 Cf) 85. CB~ The value in column B is greater.

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LSSON i ~ Standardized (, NM DT Test Practice For use with pages 194--201 f you find yourself spending too much time on one test question and getting frustrated, mo~e on to the next question.

1 LSSON i ~ Standardized (, NM DT Test Practice For use with pages f you find yourself spending too much time on one test question and getting frustrated, mo~e on to the next question. You can revisit a difficult problem later with a fresh perspective. 1. Multiple hoice triangle with three acute angles and no congruent sides is? an equiangular triangle ( 8) a right triangle -) an isosceles triangle an obtuse triangle ) an acute scalene triangle 2. Multiple hoice triangle with side lengths of 5 cm, 3 cm, and 5 cm is? an equilateral triangle ~ an obtuse triangle an isosceles triangle D) an acute triangle a scalene triangle 3. Multiple hoice The triangle below can be classified as? acute isosceles acute scalene obtuse isosceles obtuse scalene right scalene 4. Multiple hoice The triangle below can be classified acute isosceles acute scalene () obtuse isosceles obtuse scalene right scalene 5. Multiple hoice n isosceles triangle has a perimeter of 82 cm. The lengths of the legs of the triangle are represented by (3x + 2) and (5x - 14). Find the length of the base of the triangle. j 8 cm 16cm () 26 cm c:d 30 cm 52cm 6. Multiple hoice L j 60 O'=:> 160 c) 20 Find the measure of Multiple hoice Find the measure of 40!i ( " 70 (t) 80 D) 140 cd annot be determined 8. Multiple hoice Find the measure of 50 1V 90 ct) 60 J1) 30 f) Quantitative omparison hoose t he statement below which is true about the given number. The value in column is greater. ~ The value in column is greater. () The two values are equal. ( 0) The relationship cannot be detennined from the given infonnation. 125"~ olumn olumn ml m L 2 Workbook

NM For use with pages 202-210 DT One of the best ways to prepare for the ST is to keep up with your regular studies and do your homework. 1. Multiple hoice f!

2 NM For use with pages DT One of the best ways to prepare for the ST is to keep up with your regular studies and do your homework. 1. Multiple hoice f!:::, == L>XYZ, which of the following statements below is not L == LY cal == XY ) L == LZXY D) == XZ ~ L == LYXZ 2. Multiple hoice n the diagram, L>FG == L>HlJ. What is the measure of LH? "" ~ F ~~ G J H annot be determined 3. Multiple hoice n the diagram in xercise 2, G =? H H1 ) 11 FG c ) annot be determined 4. Multiple hoice Given LX == LN and LZ == LO, find the value of x. 6. Multiple hoice Given LM == L and LK == L, find the value of x. K La ~!\ (3x-5)' M O.) 58 ) 29 Quantitative omparison n xercises 7 and 8, use the given information to find the indicated value. hoose the statement below that is true about the given value. (~ The value in column is greater. ( 8) The value in column is greater. The two values are equal. ( 0) The relationship cannot be determined from the given information. Given: D == FGH y N 2x o 180 2~ 75 0 x z (5x - 10)0 M o 19.8) 38 () Multiple hoice Use the diagram in xercise 4 to find mlz olumn olumn x y mld 'L mlgh Workl:xxJk

NM ~ DT For use with pages 212-219 1. Multiple hoice Use the diagram below. Which additional congruence is needed to prove fl == L.DF?

3 NM ~ DT For use with pages Multiple hoice Use the diagram below. Which additional congruence is needed to prove fl == L.DF? <:J L == L ; SS ongruence Postulate == F; SSS ongruence Postulate L == L D; SS ongruence or (f) or 2. Multiple hoice Use the diagram below. Which congruence is needed to prove L.XYZ == L.JKL? X F Work as quickly as you can through the easier sections, but avoid making careless errors on easy questions. ~~ Z Y K L L Y == L K; SS ongruence Postulate S) XY = JK; SS ongruence Postulate (") ZY =LK; SS ongruence Postulate D) or ) or Multiple hoice o J Use the following choices to complete the proofs that L. D = L. D and L. = L. D. Given: is the midpoint of and D. (f;) Given S-> Def. of midpoint Reflexive Prop. of ongruence ]j) SSS ongruence Postulate f) SS ongruence Postulate Statements a. == D Reasons a. 3. b. L D =L D b. 4. ~_ c. D==D c. 5. -~-- d. fl D = L. D d. 6. Statements Reasons e. is the midpoint e. 7. of D and. f. 20, f D g. fl =L.D g Multiple hoice n rectangle D, a diagonal is drawn from to D. Which statement is not true? () L D =L D L D =L D = D) D == D ) ~ 0 L D = L D 11. Multiple hoice n L.MNO and 6 XYZ, MN =XY and NO =yz. f the triangles are congment, what else must be true? L N20 L Y L M== L Z MO =XZ (D and D ll of the above 12. Multi-Step Problem f----~d a. Prove that fl DF =fl D. b. Prove that fl D =fl D. c. Prove that 6 D = 6 FD. Workbook

NM ~ For use with pages 220--227 DT Do not panic if you run out of time before answering all of the questions. You can still receive a high test score w ithout answering every question. 1.

4 NM ~ For use with pages DT Do not panic if you run out of time before answering all of the questions. You can still receive a high test score w ithout answering every question. 1. Multiple hoice Which postulate or theorem can be used to prove that L == L, D? SSS SS O S (D ) S () none of the above 2. Ml{ltiple hoice Which postulate or theorem can be used to prove that L,FG =L,HG? F~------~~----~~H SSS SS ) ( D J S (]:) none of the above S 3. Multiple hoice What is the third congruence needed to prove that LD == L, D by S? 00 == L D == L D D =D 1'10) L D == L D f) ore 4. Multiple hoice What is the third congruence needed to prove that L,MNQ =L,PNO by S? (jf) () D) () L Q == L P L M== L O L M== L P QN =NO 0 p 5. Multiple hoice You are given the following information about L, GH and L,FD.. L G == L. L H == L F. L == L D V. GH =F V. G =D Which combination cannot be used to prove that L, GH =L,FD? V, V,,, V, V, V, V, J;) none of the above 6. Multiple hoice Given that L X == L D, and D == XW, what is the third congruence needed to prove that L,XWY =L,D by L Y== L L Y= L L W== L O) L W== L D none of the above 7. Multiple hoice Given that L G =L and L == L D, what is the third congruence needed to prove that L,GH == L,FD by S? LH=LF H=D H == D == G (() none of the above 8. Multi-Step Problem n the diagram, D, D, and S == D., "... a. Prove that L == L,D. b. Prove that is the midpoint of. Workbook opyright McDougal littell nc,

! 1 LSSON i 4.5 ~ NM DT For use with pages 229-235 1. Multiple hoice Which postulate or theo ~em can be used to prove that the ttiangles are congruent given M is the midpoint of KQ and KLllpQ?

5 ! 1 LSSON i 4.5 ~ NM DT For use with pages Multiple hoice Which postulate or theo ~em can be used to prove that the ttiangles are congruent given M is the midpoint of KQ and KLllpQ? SSS p ~ SS S S [) L 2. Multiple hoice Which statement correctly describes the congruence of the triangles in xercise? 6KML= 6PQM 6 KLM= 6PQM ) 6KML= 6QMP () 6KLM== 6PMQ 6KML= 6MQP 3. Multiple hoice fter proving the triangles congruent in xercise 1, what reason could you give to prove KL = PQ? Vertical ngles Theorem ) Ret1exive Prop. of ongruence on esp. parts of == &, are =. ed) S ~) Definition of midpoint 4. Multiple hoice You want to prove = F. s a first step, which pair of triangles would you prove congruent? Make sure t hat you are familiar with the directions before taking a standardized test. This way, you do not need to worry about the directions during the test. F('-~f-=--""""" MDF== 6 D ca) MDF= 6DF c-) 6D =6FD O) or ny of the above Multiple hoice n xercises 5-13, use the choices~elow to complete the proof that G == F. D) ) O) ) Statements ltemate nterior ngles Theorem S ongruence Postulate orresp. parts of =&, are ==" Vertical ngles Theorem Definition of ongruence a. G, G, G, GF =F, LG == L F b. LFG == LF c. LGF= LF d. 6GF= 6F e. G= f. LG =LFG g. mlg = mlfg,, mlgf = mlf h. mlg = mlf i. LG =LF j. MG= 6F k. G=F 14. Multi-Step Problem L == L 3 and L2 = L4. Reasons a. Given b. 5. c. 6. d. 7. e. 8. f. 9. g. 10. h. Sub. prop. of equality i. 11. j. 12. k. 13. n the diagram, a. Prove that MG= MG. ~J,--±----T::!...jD b. Prove that 6G= 6FG. c. Prove that 6DG = 6DG. opyright McDougal Littelilnc. ll rights reserved. Workbook

NM ~ For use with pages 236--242 DT void spending too much time on one question. Skip questions that are too difficult for you, and spend no more than a few minutes on each question. 1.

6 NM ~ For use with pages DT void spending too much time on one question. Skip questions that are too difficult for you, and spend no more than a few minutes on each question. 1. Multiple hoice What is the value of x? (J () Multiple hoice What is the length of a leg? 3X+4lS ~5X+2 3 ( 8) x- 8 f) Multiple hoice What are the values of x and y? 00 X = 72.5, y = 72.5 D x = 35,y = 35 ) x=35,y=110 D x = 55,y = 55 ) X = 110, y = Multiple hoice What is the value of x? em 100 ro annotbe determined 5. Multiple hoice hoose the reason the triangles are SSS SS cc::) S D) S () annot be proven congruent 6. Multiple hoice Solve for x and y. x = 120, y = 60 x = 60, y = 60 ) x = 30, y = 120 j)) x = 120,y = 30 x = 60, y = Multiple hoice Solve for x and y. x = 70,y = 55 x = 55, Y = 110 ) x = 70, y = 110 x = 70, y = 145 WO x=55,y= Multiple hoice Use the diagram in xercise 7 to solve for wand z. w = 145, z = 70 w= 1lO, z = 55 ) w= 110, z = 70 (D w= 145,z = 55 D w = 70, z = Quantitative omparison Use the diagram to find the missing values. hoose the state- ment below that is true about the given values. ~ The value in column is greater. (D The value in column is greater. (') The two values are equal. ( D) The relationship cannot be determined from the given information. olumn mll olumn ml3 Wor1<book

: LSSON f ' NM DT :-~ For use with pages 243-250 Staying physically relaxed during the ST is very important. f you find yourself tensing up, put your pencil down and take a couple of deep breaths.

7 : LSSON f ' NM DT :-~ For use with pages Staying physically relaxed during the ST is very important. f you find yourself tensing up, put your pencil down and take a couple of deep breaths. This will help you stay calm. 1. Multiple hoice n isosceles right tliangle has a vertex at (0,0) and another at (0, 8). f its legs are 8 units, what point below might be the third vertex? (8,0) (-8,0) (0, - 8) O) or ( ) ll of the above 2. Multiple hoice rectangle with sides of 3 units and 6 units is placed on a coordinate plane. f one vertex is at (0,0), which set of points could be the other vertex points? (0,6), (6, 3), (3, 6) (3,0), (0, 6), (3, 6) (- 3, 0), (- 3, 6), (0, - 6) (3,0), (0, - 6), (- 3, - 6) ( f) ll of the above 3. Multiple hoice right triangle has legs of 8 units and 10 units. Use a coordinate plane to solve for the hypotenuse. JT8 80 c:c) 2fil 4. Multiple hoice rectangle with length h and width k is placed in a coordinate plane with one vertex at (0, 0). What is a possible point for the vertex diagonal to (0, o)?.) (0, h) (h,o) (0, - k) (h, -k) c) (-h, 0) 6. Multiple hoice What are the coordinates of the midpoint M? 00 (40,30) (60,40) ) (30, 80) (60,30) (30,40) ~T N(30, 80) Q(60;86) :- -,. 1 V V / M J1 10 Y /P(O, 0) R(30, 0) 10 x Quantitative omparison n xercises 7 and 8, use the diagram below. hoose the stat ement below that is true about the given value. The value in column is The value in column is greater. () The two values are equal. o) The relationship cannot be determined from the given information. r- Y i (O,6) 8(4, 6)."\,"\ (6,4) 0(0,0), 0(6, ) x J 5. Multiple hoice Use the diagram in xercise 6 to find the length of MP. M is the midpoint of PQ. /) 25 (8) 50 (; olumn D O olumn + D O 30 ( ;) 125 Workbook

Chapter 6. Worked-Out Solutions AB 3.61 AC 5.10 BC = 5

Chapter 6. Worked-Out Solutions AB 3.61 AC 5.10 BC = 5 27. onstruct a line ( DF ) with midpoint P parallel to and twice the length of QR. onstruct a line ( EF ) with midpoint R parallel to and twice the length of QP. onstruct a line ( DE ) with midpoint Q