Slide, Flip, Turn: The Latest Dance Craze?

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1 LESSON.1 Skills Practice Name Date Slide, Flip, Turn: The Latest Dance Craze? Translating, Rotating, and Reflecting Geometric Figures Problem Set Transform each given geometric figure on the coordinate plane as described. 1. Translate trapezoid BCD 11 units to the right. B 9 B9 C D D9 0 C9. Translate triangle EFG units up. 0 E F G Chapter Skills Practice 55

2 LESSON.1 Skills Practice page 3. Rotate rectangle HJKL 90 counterclockwise about the origin. H J L K 0. Rotate triangle MNP 10 counterclockwise about the origin. 0 N M P 55 Chapter Skills Practice

3 LESSON.1 Skills Practice page 3 Name Date 5. Rotate trapezoid QRST 90 counterclockwise about the origin. 0 R S Q T. Rotate parallelogram WXYZ 10 counterclockwise about the origin. X Y W 0 Z Chapter Skills Practice 559

4 LESSON.1 Skills Practice page. Reflect triangle BC over the -ais. B C 0. Reflect parallelogram DEFG over the -ais. 0 E F D G 50 Chapter Skills Practice

5 LESSON.1 Skills Practice page 5 Name Date 9. Reflect trapezoid HJKL over the -ais. J K H L Reflect quadrilateral MNPQ over the -ais. 0 N M Q P Chapter Skills Practice 51

6 LESSON.1 Skills Practice page Determine the coordinates of each translated image without graphing. 11. The vertices of triangle BC are (5, 3), B (, ), and C (, 5). Translate the triangle units to the left to form triangle B C. The vertices of triangle B C are (1, 3), B (, ), and C (10, 5). 1. The vertices of rectangle DEFG are D (, 1), E (, ), F (1, ), and G (1, 1). Translate the rectangle 10 units down to form rectangle D E F G. 13. The vertices of parallelogram HJKL are H (, ), J (3, 1), K (, 1), and L (, ). Translate the parallelogram units up to form parallelogram H J K L. 1. The vertices of trapezoid MNPQ are M (, 5), N (0, 5), P (1, ), and Q (, ). Translate the trapezoid units to the right to form trapezoid M N P Q. 15. The vertices of triangle RST are R (0, 3), S (, ), and T (3, 1). Translate the triangle 5 units to the left and 3 units up to form triangle R S T. 1. The vertices of quadrilateral WXYZ are W (10, ), X (, 1), Y (0, 0), and Z (3, ). Translate the quadrilateral 5 units to the right and units down to form quadrilateral W X Y Z. Determine the coordinates of each rotated image without graphing. 1. The vertices of triangle BC are (5, 3), B (, ), and C (, 5). Rotate the triangle about the origin 90 counterclockwise to form triangle B C. The vertices of triangle B C are (3, 5), B (, ), and C (5, ). 1. The vertices of rectangle DEFG are D (, 1), E (, ), F (1, ), and G (1, 1). Rotate the rectangle about the origin 10 counterclockwise to form rectangle D E F G. 5 Chapter Skills Practice

7 LESSON.1 Skills Practice page Name Date 19. The vertices of parallelogram HJKL are H (, ), J (3, 1), K (, 1), and L (, ). Rotate the parallelogram about the origin 90 counterclockwise to form parallelogram H J K L. 0. The vertices of trapezoid MNPQ are M (, 5), N (0, 5), P (1, ), and Q (, ). Rotate the trapezoid about the origin 10 counterclockwise to form trapezoid M N P Q. 1. The vertices of triangle RST are R (0, 3), S (, ), and T (3, 1). Rotate the triangle about the origin 90 counterclockwise to form triangle R S T.. The vertices of quadrilateral WXYZ are W (10, ), X (, 1), Y (0, 0), and Z (3, ). Rotate the quadrilateral about the origin 10 counterclockwise to form quadrilateral W X Y Z. Determine the coordinates of each reflected image without graphing. 3. The vertices of triangle BC are (5, 3), B (, ), and C (, 5). Reflect the triangle over the -ais to form triangle B C. The vertices of triangle B C are (5, 3), B (, ), and C (, 5).. The vertices of rectangle DEFG are D (, 1), E (, ), F (1, ), and G (1, 1). Reflect the rectangle over the -ais to form rectangle D E F G. 5. The vertices of parallelogram HJKL are H (, ), J (3, 1), K (, 1), and L (, ). Reflect the parallelogram over the -ais to form parallelogram H J K L.. The vertices of trapezoid MNPQ are M (, 5), N (0, 5), P (1, ), and Q (, ). Reflect the trapezoid over the -ais to form trapezoid M N P Q. Chapter Skills Practice 53

8 LESSON.1 Skills Practice page. The vertices of triangle RST are R (0, 3), S (, ), and T (3, 1). Reflect the triangle over the -ais to form triangle R S T.. The vertices of quadrilateral WXYZ are W (10, ), X (, 1), Y (0, 0), and Z (3, ). Reflect the quadrilateral over the -ais to form quadrilateral W X Y Z. 5 Chapter Skills Practice

9 LESSON. Skills Practice Name Date ll the Same to You Congruent Triangles Problem Set Identif the transformation used to create nxyz on each coordinate plane. Identif the congruent angles and the congruent sides. Then, write a triangle congruence statement. 1. Triangle BC was reflected over the -ais to create triangle XYZ. BC > XY, C > YZ, and B > XZ ; /B > /X, /C > /Y, and / > /Z. B 0 X C Y nbc > nxyz Z. X Z Y 0 D E F Chapter Skills Practice 55

10 LESSON. Skills Practice page 3. P M T 0 Z X Y. B D X Z N 0 Y 5 Chapter Skills Practice

11 LESSON. Skills Practice page 3 Name Date 5. Y X Z 0 F W. Z X 0 Y Q M R Chapter Skills Practice 5

12 LESSON. Skills Practice page. Y Z N G X 0 R. Y X Z 0 W H F 5 Chapter Skills Practice

13 LESSON. Skills Practice page 5 Name Date 9. T Y Z V X M B 0 Y X Z G Chapter Skills Practice 59

14 LESSON. Skills Practice page List the corresponding sides and angles, using congruence smbols, for each pair of triangles represented b the given congruence statement. 11. njpm > ntrw JP > TR, PM > RW, and JM > TW ; /J > /T, /P > /R, and /M > /W. 1. neu > nbcd 13. nluv > nmth 1. nrwb > nvcq 15. ntom > nben 1. njkl > nrst 1. nct > nsup 1. ntop > ngun 50 Chapter Skills Practice

15 LESSON.3 Skills Practice Name Date Side-Side-Side Side-Side-Side Congruence Theorem Vocabular Define the term in our own words. 1. Side-Side-Side (SSS) Congruence Theorem Problem Set Determine whether each pair of given triangles are congruent b SSS. Use the Distance Formula and a protractor when necessar. 1. B 5 DE 5 3 C 5 DF 5 B d 5 ( 1 ) 1 ( 1 ) C BC 5 ( 9 ) 1 ( ) BC 5 1 (3) 0 BC F D BC 5 5 <. d 5 ( 1 ) 1 ( 1 ) E EF 5 ( 1 ) 1 ( 3 () ) EF 5 ( ) 1 3 EF EF 5 5 <. BC 5 EF The triangles are congruent b the SSS Congruence Theorem. Chapter Skills Practice 51

16 LESSON.3 Skills Practice page. J G H 0 L K M 5 Chapter Skills Practice

17 LESSON.3 Skills Practice page 3 Name Date 3. B R G 0 D M Chapter Skills Practice 53

18 LESSON.3 Skills Practice page. P M N 0 Y X Z 5 Chapter Skills Practice

19 LESSON.3 Skills Practice page 5 Name Date 5. C M W 0 Q P S Chapter Skills Practice 55

20 LESSON.3 Skills Practice page. N P Q 0 T S R 5 Chapter Skills Practice

21 LESSON.3 Skills Practice page Name Date Perform the transformation described on each given triangle. Then, verif that the triangles are congruent b SSS. Use the Distance Formula and a protractor when necessar.. Reflect nbc over the -ais to form nxyz. Verif that nbc > nxyz b SSS. B 5 XY B C Z X Y BC 5 YZ 5 5 d 5 ( 1 ) 1 ( 1 ) C 5 ( (9) ) 1 ( ) C ( 1 ) C C d 5 ( 1 ) 1 ( 1 ) XZ 5 ( 9 ) 1 ( ) XZ 5 ( 5 ) 1 ( 1 ) XZ XZ C 5 XZ The triangles are congruent b the SSS Congruence Theorem. Chapter Skills Practice 5

22 LESSON.3 Skills Practice page. Rotate ndef 10 clockwise about the origin to form nqrs. Verif that ndef > nqrs b SSS. D E F 0 5 Chapter Skills Practice

23 LESSON.3 Skills Practice page 9 Name Date 9. Reflect njkl over the -ais to form nmnp. Verif that njkl > nmnp b SSS. 0 J K L Chapter Skills Practice 59

24 LESSON.3 Skills Practice page Translate nhmz 10 units to the left and 1 unit down to form nbny. Verif that nhmz > nbny b SSS. H M 0 Z 50 Chapter Skills Practice

25 LESSON.3 Skills Practice page 11 Name Date 11. Rotate nfp 90 counterclockwise about the origin to form ndhw. Verif that nfp > ndhw b SSS. F 0 P Chapter Skills Practice 51

26 LESSON.3 Skills Practice page 1 1. Translate nce 3 units to the right and 9 units up to form njkq. Verif that nce > njkq b SSS. 0 C E 5 Chapter Skills Practice

27 LESSON. Skills Practice Name Date Side-ngle-Side Side-ngle-Side Congruence Theorem Vocabular Describe how to prove the given triangles are congruent. Use the Side-ngle-Side Congruence Theorem in our answer. 1. C B 0 X Z Y Chapter Skills Practice 53

28 LESSON. Skills Practice page Problem Set Determine whether each pair of given triangles are congruent b SS. Use the Distance Formula and a protractor when necessar. 1. Determine whether nbc is congruent to ndef b SS. B 5 DE 5 5 BC 5 EF 5 m/b 5 m/e 5 90 The triangles are congruent b the SS Congruence Theorem. B C 0 F E D. Determine whether ncky is congruent to ndlz b SS. C L Z 0 Y K D 5 Chapter Skills Practice

29 LESSON. Skills Practice page 3 Name Date 3. Determine whether nfmr is congruent to njqw b SS. M F W 0 R Q J. Determine whether nqrs is congruent to nxyz b SS. Q R S 0 Y Z X Chapter Skills Practice 55

30 LESSON. Skills Practice page 5. Determine whether njkl is congruent to nmnp b SS. J K L 0 P N M 5 Chapter Skills Practice

31 LESSON. Skills Practice page 5 Name Date. Determine whether ntv is congruent to ndnp b SS. T 0 V N D P Chapter Skills Practice 5

32 LESSON. Skills Practice page Perform the transformation described on each given triangle. Then, verif that the triangles are congruent b SS. Use the Distance Formula and a protractor when necessar.. Reflect nbc over the -ais to form nxyz. Verif that nbc > nxyz b SS. B 5 XY 5 5 B Y X C 5 XZ 5 5 m/ 5 m/x 5 90 The triangles are congruent b the SS Congruence Theorem. C Z 0. Translate ndef 11 units to the left and 10 units down to form nqrs. Verif that ndef > nqrs b SS. D F E 0 5 Chapter Skills Practice

33 LESSON. Skills Practice page Name Date 9. Rotate njkl 10 counterclockwise about the origin to form nmnp. Verif that njkl > nmnp b SS. 0 L J K 10. Reflect nfp over the -ais to form ndhw. Verif that nfp > ndhw b SS. F 0 P Chapter Skills Practice 59

34 LESSON. Skills Practice page 11. Translate nce units to the right and units down to form njkq. Verif that nce > njkq b SS. E C Chapter Skills Practice

35 LESSON. Skills Practice page 9 Name Date 1. Rotate nbmz 90 counterclockwise about the origin to form ndrt. Verif that nbmz > ndrt b SS. B M Z 0 Chapter Skills Practice 591

36 LESSON. Skills Practice page 10 Determine the angle measure or side measure that is needed in order to prove that each set of triangles are congruent b SS. 13. In nrt, R 5 1, RT 5, and m/r 5 0. In nbsw, BS 5 1, and m/s 5 0. SW 5 1. In ncde, CD 5, and DE In nfgh, FG 5, GH 5 11, and m/g In njkl, JK 5, KL 5 3, and m/k 5 0. In nmnp, NP 5 3, and m/n In nqrs, QS 5, RS 5, and m/s 5 0. In ntuv, TV 5, and UV T Z 11 in. D 15 in. 15 in. B 5 11 in. W R 1. K ft T M X 0 ft L ft N 59 Chapter Skills Practice

37 LESSON. Skills Practice page 11 Name Date 19. C m O m 50 G m m T D 0. V E 35 1 ft R P 1 ft 1 ft W 35 M Chapter Skills Practice 593

38 LESSON. Skills Practice page 1 Determine whether there is enough information to prove that each pair of triangles are congruent b SSS or SS. Write the congruence statements to justif our reasoning. 1. nmnp >? npqm. nwxy >? nzyx 1 in. N 10 in. W 30 X M P ft ft 10 in. 1 in. Y 30 Z Q QM The triangles are congruent b SSS. MN > PQ NP > MP > PM 3. nbce >? ndf. nhjm >? nmkh B J K cm E F cm C H M D 59 Chapter Skills Practice

39 LESSON. Skills Practice page 13 Name Date 5. npqr >? nstw. nmt >? nmht Q S T R M T P W H. nbdw >? nbrn. nbc >? nedc 5 m D 3 m N B B C 5 m R 3 m W E D Chapter Skills Practice 595

40 59 Chapter Skills Practice

41 LESSON.5 Skills Practice Name Date You Shouldn t Make ssumptions ngle-side-ngle Congruence Theorem Vocabular Describe how to prove the given triangles are congruent. Use the ngle-side-ngle Congruence Theorem in our answer. 1. P N M 0 C B Chapter Skills Practice 59

42 LESSON.5 Skills Practice page Problem Set Determine whether each pair of given triangles are congruent b S. Use the Distance Formula and a protractor when necessar. 1. Determine whether nbc is congruent to ndef b S. B C m/b 5 m/e 5 90 m/c 5 m/f 5 5 BC 5 EF 5 5 The triangles are congruent b the S Congruence Theorem. 0 E D F. Determine whether nnpq is congruent to nrst b S. N Q P 0 S R T 59 Chapter Skills Practice

43 LESSON.5 Skills Practice page 3 Name Date 3. Determine whether ngp is congruent to nbhq b S. P G 0 Q H B. Determine whether ncky is congruent to ndlz b S. Z C K 0 Y D L Chapter Skills Practice 599

44 LESSON.5 Skills Practice page 5. Determine whether nfmr is congruent to njqw b S. M F 0 J W R Q. Determine whether nghj is congruent to nklm b S. G H L 0 J M K 00 Chapter Skills Practice

45 LESSON.5 Skills Practice page 5 Name Date Perform the transformation described on each given triangle. Then, verif that the triangles are congruent b S. Use the Distance Formula and a protractor when necessar.. Reflect nbc over the -ais to form nxyz. Verif that nbc > nxyz b SS. m/c 5 m/z 5 90 m/ 5 m/x 5 3 C 5 XZ 5 3 The triangles are congruent b the S Congruence Theorem. 0 X Y Z C B. Rotate ndef 90 clockwise about the origin to form nqrs. Verif that ndef > nqrs b SS. D E F 0 Chapter Skills Practice 01

46 LESSON.5 Skills Practice page 9. Translate nhmz units to the right and 10 units up to form nbny. Verif that nhmz > nbny b S. 0 H M Z 10. Reflect nfp over the -ais to form ndhw. Verif that nfp > ndhw b S. F 0 P 0 Chapter Skills Practice

47 LESSON.5 Skills Practice page Name Date 11. Rotate nce 10 counterclockwise about the origin to form njkq. Verif that nce > njkq b SS. C 0 E 1. Reflect njkl over the -ais to form nmnp. Verif that njkl > nmnp b S. J K L 0 Chapter Skills Practice 03

48 LESSON.5 Skills Practice page Determine the angle measure or side measure that is needed in order to prove that each set of triangles are congruent b S. 13. In ndz, m/ 5 0, D 5 9, and m/d 5 0. In nben, BE 5 9, and m/e 5 0. m/b In ncup, m/u 5 5, and m/p In nht, T 5 1, m/ 5 5, and m/t In nhow, m/h 5 10, HW 5 3, and m/w 5 0. In nfr, FR 5 3, and m/f In ndry, m/d 5 100, DR 5 5, and m/r In nwet, m/w 5 100, and m/e B D W 0 ft T R ft Z 1. K M 30 in. 0 T L 30 0 X N 0 Chapter Skills Practice

49 LESSON.5 Skills Practice page 9 Name Date 19. R G F 0 1 m 1 m 0 W 0 Z S 0. 0 P T 5 in X D M Chapter Skills Practice 05

50 0 Chapter Skills Practice

51 LESSON. Skills Practice Name Date hhhhh... We re Sorr We Didn t Include You! ngle-ngle-side Congruence Theorem Vocabular Describe how to prove the given triangles are congruent. Use the ngle-ngle-side Congruence Theorem in our answer. 1. B C 0 X Z Y Chapter Skills Practice 0

52 LESSON. Skills Practice page Problem Set Determine whether each set of given triangles are congruent b S. Use the Distance Formula and a protractor when necessar. 1. Determine whether nbc is congruent to ndef b S. C B 0 D F m/ 5 m/d 5 5 m/b 5 m/e 5 5 BC 5 EF 5 The triangles are congruent b the S Congruence Theorem. E. Determine whether nghj is congruent to nklm b S. G J H 0 L M K 0 Chapter Skills Practice

53 LESSON. Skills Practice page 3 Name Date 3. Determine whether ngp is congruent to nbhq b S. G Q B 0 P H. Determine whether ncky is congruent to ndlz b S. C Y K 0 L Z D Chapter Skills Practice 09

54 LESSON. Skills Practice page 5. Determine whether nfmr is congruent to njqw b S. F M 0 W R Q J. Determine whether nnpq is congruent to nrst b S. P T N 0 R Q S 10 Chapter Skills Practice

55 LESSON. Skills Practice page 5 Name Date Perform the transformation described on each given triangle. Then, verif that the triangles are congruent b S. Use the Distance Formula and a protractor when necessar.. Reflect nbc over the -ais to form nxyz. Verif that nbc > nxyz b S. m/b 5 m/y 5 X m/c 5 m/z 5 90 C 5 XZ 5 1 The triangles are congruent b the S Congruence Theorem. 0 Y Z C B. Translate ndef 11 units to the left and 11 units down to form nqrs. Verif that ndef > nqrs b S. D F 0 E Chapter Skills Practice 11

56 LESSON. Skills Practice page 9. Rotate njkl 10 counterclockwise about the origin to form nmnp. Verif that njkl > nmnp b S. 0 K L J 10. Translate ncup 9 units to the left and units up to form njr. Verif that ncup > njr b S. 0 U C P 1 Chapter Skills Practice

57 LESSON. Skills Practice page Name Date 11. Reflect nfp over the -ais to form ndhw. Verif that nfp > ndhw b S. 0 F P Chapter Skills Practice 13

58 LESSON. Skills Practice page 1. Rotate nce 0 counterclockwise about the origin to form njkq. Verif that nce > njkq b S. C 0 E Determine the angle measure or side measure that is needed in order to prove that each set of triangles are congruent b S. 13. In nnt, m/ 5 30, m/n 5 0, and NT 5 5. In nbug, m/u 5 0, and UG 5 5. m/b In nbcd, m/b 5 5, and m/d In nrst, RS 5 1, m/r 5 5, and m/t In nemz, m/e 5 0, EZ 5, and m/m 5 0. In ndgp, DP 5, and m/d In nbmx, m/m 5 90, BM 5 1, and m/x In ncny, m/n 5 90, and m/y Chapter Skills Practice

59 LESSON. Skills Practice page 9 Name Date 1. B D 1 in. 1 in. 0 T R 0 0 W Z 1. K 0 X 30 N T 3 ft 30 M 0 L 19. F S Z 0 50 R 50 5 m G 0 W Chapter Skills Practice 15

60 LESSON. Skills Practice page D 0 in P M 30 0 in. X T Determine whether there is enough information to prove that each pair of triangles are congruent b S or S. Write the congruence statements to justif our reasoning.? 1. nbd > ncbd?. nefg > nhjk B F J D The triangles are congruent b S. /BD > /BCD C E K G H /DB > /CDB BD > BD? 3. nmnq > npqn?. nrst > nwzt N P W M Q S R T Z 1 Chapter Skills Practice

61 LESSON. Skills Practice page 11 Name Date? 5. nbdm > nmdh?. nfgh > njhg D F J B 0 H 0 M G H?. ndfg > njmt?. nrst > nwxy D M 5 T 50 S W R ft F 5 G ft J 0 T 3 cm X 50 3 cm 0 Y Chapter Skills Practice 1

62 1 Chapter Skills Practice

63 LESSON. Skills Practice Name Date Congruent Triangles in ction Using Congruent Triangles Problem Set Construct a perpendicular bisector to each line segment. Connect points on the bisector on either side of the line segment to form the new line segment indicated. 1. MN bisected b PR at point Q P M Q N R. HJ bisected b KM at point L H J Chapter Skills Practice 19

64 LESSON. Skills Practice page 3. B bisected b CE at point D. PQ bisected b RT at point S P B Q 5. FG bisected b HK at point J. ST bisected b UW at point V F T G S 0 Chapter Skills Practice

65 LESSON. Skills Practice page 3 Name Date Use a triangle congruence theorem to complete each proof. Some of the statements and reasons are provided for ou.. Given: HK is a perpendicular bisector of FJ at point J Prove: Point H is equidistant to points F and G H F J G K 1. FG ' HK, HK bisects FG 1. Definition of perpendicular bisector. /FJH and /GJH are right angles.. Definition of perpendicular lines 3. /FJH > /GJH 3. ll right angles are congruent.. FJ > GJ 5. HJ > HJ. Definition of bisect 5. Refleive Propert. nfjh > ngjh. SS Congruence Theorem. FH > GH. Point H is equidistant to points F and G. Corresponding sides of congruent triangles are congruent. Definition of equidistant Chapter Skills Practice 1

66 LESSON. Skills Practice page. Given: PM is a perpendicular bisector of ST at point N Prove: Point M is equidistant to points S and T P S N T M Definition of perpendicular bisector.. Definition of perpendicular lines ll right angles are congruent Point M is equidistant to points S and T. Definition of equidistant Chapter Skills Practice

67 LESSON. Skills Practice page 5 Name Date 9. Given: C is a perpendicular bisector of UW at point B Prove: Point C is equidistant to points U and W U C B W 1. UW ' C, C bisects UW 1. Definition of perpendicular bisector ll right angles are congruent... Definition of bisect Corresponding sides of congruent triangles are congruent.. Chapter Skills Practice 3

68 LESSON. Skills Practice page 10. Given: TK is a perpendicular bisector of LM at point R Prove: Point T is equidistant to points L and M L T R K M Definition of perpendicular lines ll right angles are congruent TR > TR 5. Refleive Propert Definition of equidistant Chapter Skills Practice

69 LESSON. Skills Practice page Name Date 11. Given: HT is a perpendicular bisector of UV at point P Prove: Point H is equidistant to points U and V H V P T U /UPH and /VPH are right angles.. Definition of perpendicular lines Definition of bisect Chapter Skills Practice 5

70 LESSON. Skills Practice page 1. Given: UW is a perpendicular bisector of CD at point V Prove: Point U is equidistant to points C and D C U V W D Definition of perpendicular bisector.. 3. /CVU > /DVU 3. ll right angles are congruent Corresponding sides of congruent triangles are congruent.. Chapter Skills Practice

71 LESSON. Skills Practice page 9 Name Date Complete each diagram to provide a countereample that proves the indicated theorem does not work for congruent triangles. Eplain our reasoning. hint is provided in each case. 13. ngle-ngle-ngle (Hint: Use vertical angles.) D C Etend C and BC, and connect points D and E so that B is parallel to DE. Since vertical angles are congruent, all three corresponding angles of the two triangles are congruent. The side lengths, however, are different, so nbc is not congruent to ndec. B E 1. Side-Side-ngle (Hint: Draw a triangle that shares /P with the given triangle.) Q P R 15. ngle-ngle-ngle (Hint: Draw a triangle that shares /T with the given triangle.) T S U Chapter Skills Practice

72 LESSON. Skills Practice page Side-Side-ngle (Hint: Draw a triangle that shares /L with the given triangle.) L K M 1. ngle-ngle-ngle (Hint: Draw a triangle that has an angle with the same measure as /E.) E D F 1. Side-Side-ngle (Hint: Draw a triangle that shares /U with the given triangle.) T U V Chapter Skills Practice

73 LESSON. Skills Practice page 11 Name Date State the congruence theorem that proves the triangles in each diagram are congruent. If not enough information is given, name an eample of information that could be given that ou could use to prove congruenc. Eplain our reasoning. 19. Given: V W > XW W Prove: nvyw > nxyw Not enough information is given. If /VWY > /XWY is given, then nvyw > nxyw b the SS Triangle Congruence Theorem. V Y X 0. Given: CE is a perpendicular bisector of FD Prove: nfec > ndec C D E F 1. Given: /WST > /VUT, ST > UT S U Prove: nwst > nvut T W V Chapter Skills Practice 9

74 LESSON. Skills Practice page 1. Given: nbd is isosceles with B > D Prove: nbc > ndc B C D 3. Given: GH > JK, HJ > KG Prove: nghk > njkh H G J K. Given: PT > SR, /PQT > /RQS Prove: ntpq > nsrq P R T Q S 30 Chapter Skills Practice

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