L#F!";<=!"#$%&'()*+,-./0 1!"2, :!"; <= "!NDO,.!"?,G!"LP.QR STLG U!";# VWX YF, >?RSY 5X 0,A/G!";() ZFF[\]^_`ab,$cG Q

Size: px
Start display at page:

Download "L#F!";<=!"#$%&'()*+,-./0 1!"2, :!"; <= "!NDO,.!"?,G!"LP.QR STLG U!";# VWX YF, >?RSY 5X 0,A/G!";() ZFF[\]^_`ab,$cG Q"

Transcription

1 !"!"# "!"#$%&' ()*+,- X"YK2ZK[ Y \] ^ "_`K Y \] a. /0b+cM1- ( U #X )*+, # )*+ # )*+ - #- )*+..M00;FG#9 ]M0X### U # U#9 # BUM0;?1-FG# # ;#?1Xa/*011 11Xa/+ 1 EXaEXa?1EXa # #?1P#9 -'']RM0M0?1R;9 ]M00;3- :FG M0^^;^FG 20/" Xa2 ".3"30""!!"#$ %&'& &( % # ) * +& 4# #( : R ; #( ; #( (0101 X"&!! 01 91< 1+1; :1101!0! =1<>;?1+1 ; &*10@ "/ *A B > =1<>;?1 +1 ; &*10a,' B! 0! A 0 1<0 * !0 1 0 #X )*+ a; #X )*+ a; # X )*+ a 01 #X- )*+ a 1 * *C * + D0!! D! 1 1 <> +0C !0! +* 01 ( *1E *! 10 *0 1 1X#; # 01 #a 0! * 0+ 1 D00; 01 +> 01 0! + D; D 0 * !> 1 *C *! +0C ; 01 * ** 1+1 A0 A* # 0+1" A* #; 1 1!C 0!0 1! !> * <! + D0! ++1>; *!C D 1 ; *1! + D0! + +1>" 1 * <0!; /* Xa; /+ 1 1Xa; 9<11 1Xa 01 *1 1Xa 1 *C *! +0C A * ** 0 # 0+1; A*! *0 0 A * ** 0 # 0+1; D * 1 # 0! * 0D!> *C * + D 1!C1 > 0D 1 A 1" '10! !> X'&a 01! 010!> * A *0 * A 1 1 0D 1 D0!C D! *00 *! + D 1 +0C A* 1 # 0!0 1 0" *0 0!>1 #!!0 * *C *! + D0! * 1 10! <> 1 1" -.) +0C @ 1 1 0!0 1 0@! + D0! ++1>@ 1 10! <>!"#$%&' ()#'*+,-./01'# :;0 0KXRR2RR 2a <=>0X22a_RR ! " +?@<0 9+0! C*1>" + 23%4"#56789:; 3<=>?1@ABC<0 DEE)4" $% 9 FG &#' HI82J/# /K+,LM#CNO@A $% 97 ;FG;#PQ 56ERSTU#V-W #$%&&'''

2 L#F!";<=!"#$%&'()*+,-./0 1!"2, :!"; <= "!NDO,.!"?,G!"LP.QR STLG U!";# VWX YF, >?RSY 5X 0,A/G!";() ZFF[\]^_`ab,$cG [\F", 6F"L G LD$%F"FL U 0LFA/!"? Lc$%?#FF"!";()<=^U LL]^K@ #$%F!";&'()RS-L F6 >GHU H:_` _L!"#$L # %L L L!" #& L #? # "&" %%U $ STX%>&? " ''' # L %''' # L # %''' # L %''' # L U HF"H( )L* +,- )L*.U # ## /0 1/0L/ L?L/ 23L/ &?L4$!"-" '5% )6!#-# ''% )78!-" ''% )!- ''% )L2(( F-@9 )L: & L# 1L1; % - % %)U : # & # L# U H4<=><U 2L4 &))@ ),? 2L4 ")@ &"),-* ) '5 % L-+ )# '5% L!/$@?L9 1?A%U!OBCCD EV9BU %LF %, %LF %U F1C GHFA%L!NIVJKLM -U : # # ()NI- LOFP CL PQRLSTUGR VWF*U FCL1 X%Y FLF F"4 FL ST & FF" # *L : & L:Z0@ U # 2!"&?[\Z0 # L] Z ^Z@_`ZKabcK$ K$@ # +K$,!"( ) $, 2 #& U # -#)C!RS :!"()L0! --! " # " )( CL! " XK$L# " # L K$L $, #U -)./00100 Y $ :" HL0 $-% -0% " " ) CL% " " A#IX A#@L0 % " --! " # " )(-! " # " )

3 2% :; 6 :6 <= 2'# >?56789:; 6 2FG@HI51 6JG@F/ KL7MN OKG@ 7 K #$PQRSMMN6T@ 8 4 UV L7W%MNXYMN./01!"#!$%&'()*+,- 66 'Z[ \])*0X,-./06^' _`[+02 a bc6 Q!"6\]MZ[ 953:9Q.4:396 )*MZ[ 4:59.5:..9Q :96,-./0Z[.:59.:49Q :96+M_`[.:9:39 Q :39 \]MZ[ 5:9.:9Q 4:496)*MZ[ :39 :49Q 5:5496,-./0Z 5:9.:49Q 4:96+M_`[.:49:.9Q :9 '_`[,-.1 6^,-.1' :!"#!$%&' (2345+,- ::,-.F/G@2 < "3<2,-.F G@6,-.G@F 16[,-.,-.-$ ; <P 6 6 #$ % 6 % FJG@ % 6 FJ G@6 ZA P 6 6 Q #$ 3A #$6 #$ 6 #$ % 66 #$ \],-. c #$M Z :9:349Q 5.:..9 MZ 4:95:..9Q 5:.96%&'2: MN6,-.FG@ Q :: \],-.. FG@%&,-.[/<6,-.6,-. FG@%&6A[,-. ;. P 66 \],-.QG@6 QG@,2 / FG@3 2P 6 Z[\],-.. F #$ ' 2 ##! '& 2 ##! #!"#$%&'()*+,-! "##$ %&#% ' '" ##! '& #!"! +, -. /01(! )* '$ /01(! + 0"! /01(!!"#$%&',-./0 ' '". /01(! % 1 % ( ) '! *! ## ##! #+$ + % ' *.

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

5 ' " ' ' " ' /*- /* /* /*) )*. )*- )* )* ) /*- /* /* /*) )*. )*- )* )* )!"# ( "%% &$!$%& ( "%% %"" ) /! - ()*+ 1' $" "! #$"%# & " " % "! " "'!"#$%&'!" #$"%# & " "&&' &!"# ( "%% &$!$%& ( "%% %"" " #" #" &%" &%" # ) *+,-)* )*+.)*)) )*+).)*)/ -/*)) / *//)*). )*+,))*)) )*+)*) +*). */,,)*) )*+,)*)) )*+)*)/ +/*/- *0)*) )*+,0)*)) )*++)*)/ ))*,. ) *+./)*/0 )*++)*)/ )*+))*) 0*0+ / */.))*) )*+,)*)) )*+)*)/ ))*,. *)*). )*+,0)*)) )*+-/)*)/ +/*, */,,)*)+ )*+,)*)) )*+0)*)./*)) ()*),)*+, / -./)0 ) / //*//21 ** ***/ :,;5<9=>4?<9@A4B):,CDE FGHI) JKLM- / NO /) # O3456P :,QR)!"#-ST2 UVWXY /) -3= 4) 4 2OLMO) Z[ )\/ -2O]=^?_!$%& `-ST2UVWXY /) -3 = 4) 42OLMO )Z[ /\\ -2O ]=^?1 *** a-bcN);@A JK,R]A1895 A+a^ / & A8 951+)!"#R. A895) +-*/2)Z[ / 895/ a )*2) 895a /.*,2_! $ % & R + A ),.

6 J78L9:;FGHI- ( () ( ( ) ) () ( ( ( )!"#! "# $%#&$ '# #'' #" "" ',/-0!"*#$%& -/0!"*#$%&.-0'!"#$ %()* +!"*, *-. "/ ' 789:;- *1 "1/ (1<=>!"?@ABCDE" FGHICD' > * JKLMNONOL NO7-", NO"P> * -QRS, NT"P> * URSV' * W NT LL NTX" NT"P > * -UY NT"P> * -QYL NT> * QURSV"P' / (1. 789:Z[\]- ^23"_` abc Labc L((L))L) L)/L). LL/, ' 79:;- *1 "1 / )> *)M)NTL NTLNT7-")L, NT"P> *) -QRS NT> *) Q URSV"P' * W L NT )L N TX" NT"P> * -UY)L N T * -QY NO> * QURSV "P9:-; FGHI' /.7 9:Z[\- ) ^23"_ ab 1) +, ( +, ). 1 )/ ( (- () *-0 -/. ( (-. *)+0 - *)+0 -/ *)-0 -.) ) ) -/ ( ( -//, ( (- *.-0 (-, *-/0 -. ( # $%&'!!"# * & #'&#! "# $%#&$ '# #'' #" "" ' / (- *.-0 (- *-/0 - /,.,

7 !"#$%& $#'$$ ()*+,-.(/ :;14 CAB231D;EAB2 4 5AB 23CQAB231D;!"#$R%"&'()* +, ST7U@VWX.,Y T7U.+Z[7U@\ ][^_KVW@H!` Kabc9 OCHKL M@O!`! ab:ab ;RRB@8`! abab R8 ab AB@<=>? 23KGZ[@8 S7. -B@! 4)]AB AB@8AB YF 8 7U7@7 K@$K$ 8!` AB +<=>?:9)]@ HAB@@< =>?)7C:K@) ab@74)]@-1@ SZIJ. 41HY` %"#$%"&'-./ 01*+, )]3A+ F@GH;,W FLM@8O&@( :9'@!`! ab 23@OF GHZ 23 23` (! 4ab<)+.*+@LM:O,-K./` AB;<=>? OFGH<:! =>?:! C50a b)` 1Dc8c8 FGH1c8SO@H c82ni@1!` 3 4! ab:bo@1 B@O1c 8 #$%&&'&& c8` 56! aba :AH@ #$%&&'&& c8a789:#$%& &'&& c8` AB@ <O #$%&&'&& c8#()'& c8dc81 c8d;d4 23P 23@=>?O@ #$%&&'& & c8#()'& c8dc8 1c84 23` S )]@ <@=7.>-C?@ AB +I$IA$IB$ICI IF@GH`+<D$ICI IGH:! C E@ )+IA$IB$I@GHQ AB23)P+=>?

8 :;,-4<=>_ABCDE!23! "#$%&' ()!*+,-./01,-! :!; E* <FGCDE* +78!LDM1N" OI,-K<<ABCD+ 78!LDN"KFGCDE PLDNQR S OTUVW!QX< =><?,-Y@/*+ O I!R <=>! (./+!Z[X (./+ \Z[*]^ <! _ (./`+!Z[X./+ \ Z[*]`R a,-bc4fgcde!23x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bc4fcde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`ab & c%&'e( *+& &./ & 3$%! ; 4?,-! & (!7! )(6! ) 4!9!(!9! (!)44(!*+&! # &!! *+ & A)(R*+&. c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b & %&'(R&'/ *+&,-&./ & "$ 4-! ;#$!@4 ;$% & 09!)!(! 9!)(6! 5(5)!! )(! 6!9*+& (!" 11. 1&!! *+ N & 4 A A R;O %&'()*+*+& / & <# -4 ;!! $% ;49& 4) 4 A A )95( (!!)(6! 4)!!(!9!!( (!!8!!*+& # &!!

Segments Proofs Reference

Segments Proofs Reference Segments Proofs Reference Properties of Equality Addition Property Subtraction Property Multiplication Property Division Property Distributive Property Reflexive Property The properties above may only

More information

Name Class Date. Find corresponding parts using the order of the letters in the names.

Name Class Date. Find corresponding parts using the order of the letters in the names. 4-1 Reteaching Congruent Figures Given ABCD QRST, find corresponding parts using the names. Order matters. For example, This shows that A corresponds to Q. Therefore, A Q. For example, This shows that

More information

1. If ABC DEF, then A? and BC?. D. EF 2. What is the distance between (3, 4) and ( 1, 5)? 17

1. If ABC DEF, then A? and BC?. D. EF 2. What is the distance between (3, 4) and ( 1, 5)? 17 Warm Up 1. If ABC DEF, then A? and BC?. D EF 2. What is the distance between (3, 4) and ( 1, 5)? 17 3. If 1 2, why is a b? Converse of Alternate Interior Angles Theorem 4. List methods used to prove two

More information

4-7 Triangle Congruence: CPCTC

4-7 Triangle Congruence: CPCTC 4-7 Triangle Congruence: CPCTC Warm Up Lesson Presentation Lesson Quiz Holt Geometry McDougal Geometry Warm Up 1. If ABC DEF, then A? and BC?. D EF 2. What is the distance between (3, 4) and ( 1, 5)? 17

More information

Similar Figures and Proportions

Similar Figures and Proportions Practice A Similar Figures and Proportions Identify the corresponding sides. 1. AB corresponds to. 2. BC corresponds to. 3. AC corresponds to. Identify the corresponding sides. Then use ratios to determine

More information

7.2 Similar Polygons. Geometry Mr. Peebles Spring 2013

7.2 Similar Polygons. Geometry Mr. Peebles Spring 2013 7.2 Similar Polygons Geometry Mr. Peebles Spring 2013 Daily Learning Target (DLT) Monday February 25, 2013 I can understand, apply, and remember to identify similar polygons in real-life problems. Geometry

More information

Copyright 2014 Edmentum - All rights reserved.

Copyright 2014 Edmentum - All rights reserved. Copyright 2014 Edmentum - All rights reserved. Geometry Trigonometry Blizzard Bag 2014-2015 1. Triangle EFG is similar to HJI. If e = 5.2 cm, f = 5.8 cm, g = 4 cm, and h = 10.4 cm, what is the measure

More information

Day 116 Bellringer. 1. Use the triangle below to answer the questions that follow.

Day 116 Bellringer. 1. Use the triangle below to answer the questions that follow. Day 116 Bellringer 1. Use the triangle below to answer the questions that follow. 3 in 5 in 4 in a) Find the area of the triangle. b) Find the perimeter of the triangle. 2. Use the distance formula to

More information

1.3. Similar Triangles. Investigate Properties of Similar Triangles

1.3. Similar Triangles. Investigate Properties of Similar Triangles 1.3 Similar Triangles The Great Hall of the National Gallery of Canada in Ottawa has an impressive glass ceiling. The design of the Great Hall is intended to mimic the design of the nearby Library of Parliament.

More information

SPAREPARTSCATALOG: CONNECTORS SPARE CONNECTORS KTM ART.-NR.: 3CM EN

SPAREPARTSCATALOG: CONNECTORS SPARE CONNECTORS KTM ART.-NR.: 3CM EN SPAREPARTSCATALOG: CONNECTORS ART.-NR.: 3CM3208201EN CONTENT SPARE CONNECTORS AA-AN SPARE CONNECTORS AO-BC SPARE CONNECTORS BD-BQ SPARE CONNECTORS BR-CD 3 4 5 6 SPARE CONNECTORS CE-CR SPARE CONNECTORS

More information

Believethatyoucandoitandyouar. ngascannotdoonlynotyetbelieve. Mathematics. thatyoucandoitandyouarehalfw. Stage 3

Believethatyoucandoitandyouar. ngascannotdoonlynotyetbelieve. Mathematics. thatyoucandoitandyouarehalfw. Stage 3 Believethatyoucandoitandyouar ehalfwaytherethereisnosuchthi ngascannotdoonlynotyetbelieve Mathematics thatyoucandoitandyouarehalfw Stage 3 aytherethereisnosuchthingasca Shape & Space nnotdoonlynotyetbelievethatyo

More information

SPARE CONNECTORS KTM 2014

SPARE CONNECTORS KTM 2014 SPAREPARTSCATALOG: // ENGINE ART.-NR.: 3208201EN CONTENT CONNECTORS FOR WIRING HARNESS AA-AN CONNECTORS FOR WIRING HARNESS AO-BC CONNECTORS FOR WIRING HARNESS BD-BQ CONNECTORS FOR WIRING HARNESS BR-CD

More information

Geometry: Semester 1 Midterm

Geometry: Semester 1 Midterm Class: Date: Geometry: Semester 1 Midterm Multiple Choice Identify the choice that best completes the statement or answers the question. 1. The first two steps for constructing MNO that is congruent to

More information

Unit 5 Triangle Congruence

Unit 5 Triangle Congruence Unit 5 Triangle Congruence Day Classwork Homework Wednesday 10/25 Unit 4 Test D1 - Proving SAS through Rigid Motions Watch Video Thursday 10/26 Friday 10/27 Monday 10/30 Proving SAS through Rigid Motions

More information

46 Congruence of Triangles

46 Congruence of Triangles 46 Congruence of Triangles Two triangles are congruent if one can be moved on top of the other, so that edges and vertices coincide. The corresponding sides have the same lengths, and corresponding angles

More information

Using the Properties of Equality

Using the Properties of Equality 8.1 Algebraic Proofs (G.CO.9) Properties of Equality Property Addition Property of Equality Subtraction Property of Equality Multiplication Property of Equality Division Property of Equality Distributive

More information

Name: Unit 7 Beaumont Middle School 8th Grade, Introduction to Algebra

Name: Unit 7 Beaumont Middle School 8th Grade, Introduction to Algebra Unit 7 Beaumont Middle School 8th Grade, 2015-2016 Introduction to Algebra Name: I can recognize and create reflections on a coordinate grid. I can recognize and create translations on a coordinate grid.

More information

C 30D C 5W ; E ARID ZONE RESEARCH Vol.30 No.5 Sept.2013 Nino , 2, 3 (1., ;2., ;3., )!:!"# $%&' &' ()* +,- (./0)*1 23

C 30D C 5W ; E ARID ZONE RESEARCH Vol.30 No.5 Sept.2013 Nino , 2, 3 (1., ;2., ;3., )!:!# $%&' &' ()* +,- (./0)*1 23 C 30D C 5W 2013 9; E ARID ZONE RESEARCH Vol.30 No.5 Sept.2013 Nino3.4 1 2 1 1, 2, 3 (1., 750002;2., 750002;3., 730020)!:!"# $%&' &'()* +,- (./0)*1 234 56, 78 9:# 1 2; < 34.=> 56,!"561?@AB 7 C19:DE, F1GH

More information

Chapter 6. Similarity

Chapter 6. Similarity Chapter 6 Similarity 6.1 Use Similar Polygons Objective: Use proportions to identify similar polygons. Essential Question: If two figures are similar, how do you find the length of a missing side? Two

More information

**If all seven assignments are completed by the day the Mod 12 test is given you will receive 3 extra points on the test. **

**If all seven assignments are completed by the day the Mod 12 test is given you will receive 3 extra points on the test. ** Geometry Mod 11 &12 Similarity Section 6.1: I can solve problems by writing and using rates and ratios. I can solve problems by writing and solving proportions. I can use the geometric mean to solve problems.

More information

Chapter 6 Review. Find MG and NG. In Exercises 1 4, find the indicated measure. State how you know. 1. AD 2. GJ. 3. PQ 4. m

Chapter 6 Review. Find MG and NG. In Exercises 1 4, find the indicated measure. State how you know. 1. AD 2. GJ. 3. PQ 4. m Name Date Chapter 6 Review In Exercises 1 4, find the indicated measure. State how you know. 1. AD 2. GJ 3. PQ 4. m DGF 5.In the figure at the right, what value of x makes G the incenter of JKL? 6. LG

More information

Geometry - Chapter 12 Test SAMPLE

Geometry - Chapter 12 Test SAMPLE Class: Date: Geometry - Chapter 12 Test SAMPLE Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Find the value of x. If necessary, round your answer to

More information

Topic : Geometric Constructions- Congruence - Worksheet 1

Topic : Geometric Constructions- Congruence - Worksheet 1 Topic : Geometric Constructions- Congruence - Worksheet 1 triangle D'E'F'.If EF is represented by 4x-40 and E'F' is represented by 3x-15,find Polygon STUV is congruent to polygon S'T'U'V'.If the value

More information

REVIEW: Find the value of the variable and the measures of all of the angles

REVIEW: Find the value of the variable and the measures of all of the angles Name: Period: Geometry Honors Unit 3: Congruency Homework Section 3.1: Congruent Figures Can you conclude that the triangles are congruent? Justify your answer. 1. ΔGHJ and ΔIHJ 2. ΔQRS and ΔTVS 3. ΔFGH

More information

2ft. 2yd. a, 6 days:15 days can be written as the fraction

2ft. 2yd. a, 6 days:15 days can be written as the fraction For use with pages 357-3B3 ratio is a comparison of a number a and a nonzero number b using division. n equation that states that two ratios are equal is called a proportion. In the proportion a ~ = c

More information

Geometry Ch 4 Practice Exam

Geometry Ch 4 Practice Exam Name: Class: Date: Geometry Ch 4 Practice Exam Multiple Choice Identify the choice that best completes the statement or answers the question. 1. If BCDE is congruent to OPQR, then BC is congruent to?.

More information

Worksheets for GCSE Mathematics. Trigonometry. Mr Black's Maths Resources for Teachers GCSE 1-9. Shape

Worksheets for GCSE Mathematics. Trigonometry. Mr Black's Maths Resources for Teachers GCSE 1-9. Shape Worksheets for GCSE Mathematics Trigonometry Mr Black's Maths Resources for Teachers GCSE 1-9 Shape Pythagoras Theorem & Trigonometry Worksheets Contents Differentiated Independent Learning Worksheets

More information

Geometry Regular Midterm Exam Review (Chapter 1, 2, 3, 4, 7, 9)

Geometry Regular Midterm Exam Review (Chapter 1, 2, 3, 4, 7, 9) Geometry Regular Midterm Exam Review (Chapter 1, 2, 3, 4, 7, 9) Name: Date: Mod: Use the figure at the right for #1-4 1. What is another name for plane P? A. plane AE B. plane A C. plane BAD D. plane BAC

More information

MATH-G 2016 Geometry Unit 8 Test G.9 Exam not valid for Paper Pencil Test Sessions

MATH-G 2016 Geometry Unit 8 Test G.9 Exam not valid for Paper Pencil Test Sessions MATH-G 2016 Geometry Unit 8 Test G.9 Exam not valid for Paper Pencil Test Sessions [Exam ID:1JE00L 1 Parallelogram ABCD is a rhombus with m EBC = 36. What is the m DAE? A 36 B 54 C 108 D 144 2 The diagonals

More information

Chapter 4 Unit 6 SPRING GEOMETRY Name Hour

Chapter 4 Unit 6 SPRING GEOMETRY Name Hour CONGRUENT TRIANGLES Chapter 4 Unit 6 SPRING 2019 GEOMETRY Name Hour Geometry Classifying Triangles 4.1 Objectives: Triangles can be classified by their and/or their. 1) classify triangles by their angle

More information

Saturday 星期六 Mixed ("A" Course) / AWT. Final Version Last Updated: 09 January 2015 at 11:30

Saturday 星期六 Mixed (A Course) / AWT. Final Version Last Updated: 09 January 2015 at 11:30 10 01 2015 Saturday 星期六 Mixed ("A" Course) / AWT 33 Final Version Last Updated: 09 January 2015 at 11:30 ! '!/ 01'! &1 "!!/!', ),!!!/!'!!, ( &1 "!! &1 "' &"1 2&!!,! ' &"1 2&! &1 "*.!/!&1 ", 3 4 &&!5!/-

More information

Polygon Interior Angles

Polygon Interior Angles Polygons can be named by the number of sides. A regular polygon has All other polygons are irregular. A concave polygon has All other polygons are convex, with all vertices facing outwards. Name each polygon

More information

41. What is the value of x? 19 57 52 71 42. Find the value of s. 23 34 28 56 43. A and B are the remote interior angles of BCD in ABC. Which of these equations must be true? m A - 180 = m B m A = 90 -

More information

Show all of your work on a separate sheet of paper. No work = no credit! Section 4.1: Triangle and Congruency Basics Find m

Show all of your work on a separate sheet of paper. No work = no credit! Section 4.1: Triangle and Congruency Basics Find m Name: Period: Unit 4: Triangles Show all of your work on a separate sheet of paper. No work = no credit! Section 1: Triangle and Congruency Basics Find m Geometry Homework 2. 3. Find the value of the variables

More information

8.1 Day 1 Warmup. Solve each equation. 1. 4x + 5x + 6x = (x 5) 2 = 81. in simplest form. 3. Write 16

8.1 Day 1 Warmup. Solve each equation. 1. 4x + 5x + 6x = (x 5) 2 = 81. in simplest form. 3. Write 16 8.1 Day 1 Warmup Solve each equation. 1. 4x + 5x + 6x = 180 2. (x 5) 2 = 81 3. Write 16 24 in simplest form. 4. If QRS ZYX, identify the pairs of congruent angles and the pairs of congruent sides. February

More information

4-8 Similar Figures and Proportions. Warm Up Problem of the Day Lesson Presentation Lesson Quizzes

4-8 Similar Figures and Proportions. Warm Up Problem of the Day Lesson Presentation Lesson Quizzes Warm Up Problem of the Day Lesson Presentation Lesson Quizzes Warm Up Find the cross products, and then tell whether the ratios are equal. 1. 16, 40 6 15 2. 3. 3 8, 18 46 8, 24 9 27 4. 28, 42 12 18 240

More information

Get Ready. Solving Equations 1. Solve each equation. a) 4x + 3 = 11 b) 8y 5 = 6y + 7

Get Ready. Solving Equations 1. Solve each equation. a) 4x + 3 = 11 b) 8y 5 = 6y + 7 Get Ready BLM... Solving Equations. Solve each equation. a) 4x + = 8y 5 = 6y + 7 c) z+ = z+ 5 d) d = 5 5 4. Write each equation in the form y = mx + b. a) x y + = 0 5x + y 7 = 0 c) x + 6y 8 = 0 d) 5 0

More information

Transformations and Congruence

Transformations and Congruence Name Date Class UNIT 1 Transformations and Congruence Unit Test: C 1. Draw ST. Construct a segment bisector and label the intersection of segments Y. If SY = a + b, what is ST? Explain your reasoning.

More information

QUADRILATERALS MODULE - 3 OBJECTIVES. Quadrilaterals. Geometry. Notes

QUADRILATERALS MODULE - 3 OBJECTIVES. Quadrilaterals. Geometry. Notes 13 QUADRILATERALS If you look around, you will find many objects bounded by four line-segments. Any surface of a book, window door, some parts of window-grill, slice of bread, the floor of your room are

More information

3. Given the similarity transformation shown below; identify the composition:

3. Given the similarity transformation shown below; identify the composition: Midterm Multiple Choice Practice 1. Based on the construction below, which statement must be true? 1 1) m ABD m CBD 2 2) m ABD m CBD 3) m ABD m ABC 1 4) m CBD m ABD 2 2. Line segment AB is shown in the

More information

Life is what you make it. Mr. H s dad

Life is what you make it. Mr. H s dad Life is what you make it. Mr. H s dad You can classify triangles by if their sides are congruent. Scalene Triangle This triangle has no congruent sides. Isosceles Triangle This triangle has at least 2

More information

Math-2A. Lesson 8-3 Triangle Congruence

Math-2A. Lesson 8-3 Triangle Congruence Math-2A Lesson 8-3 Triangle Congruence Naming Triangles Triangles are named using a small triangle symbol and the three vertices of the triangles. The order of the vertices does not matter for NAMING a

More information

8.1 Day 1 Warmup. Solve each equation. 1. 4x + 5x + 6x = (x 5) 2 = 81. in simplest form. 3. Write 16

8.1 Day 1 Warmup. Solve each equation. 1. 4x + 5x + 6x = (x 5) 2 = 81. in simplest form. 3. Write 16 8.1 Day 1 Warmup Solve each equation. 1. 4x + 5x + 6x = 180 2. (x 5) 2 = 81 3. Write 16 24 in simplest form. 4. If QRS ZYX, identify the pairs of congruent angles and the pairs of congruent sides. February

More information

CHAPTER FOUR TRIANGLE CONGRUENCE. Section 4-1: Classifying Triangles

CHAPTER FOUR TRIANGLE CONGRUENCE. Section 4-1: Classifying Triangles CHAPTER FOUR TRIANGLE CONGRUENCE 1 Name Section 4-1: Classifying Triangles LT 1 I can classify triangles by their side lengths and their angles. LT 2 I will use triangle classification to find angle measures

More information

Name: Target 4 Perform compositions of figures to determine the coordinates and location of the image

Name: Target 4 Perform compositions of figures to determine the coordinates and location of the image Unit 8 Similarity Figures and Dilations Target 1 Use proportions to identify lengths of corresponding parts in similar figures Target 2 Perform and identify dilations Target 3 Use ratios of lengths, perimeter,

More information

Day 6: Triangle Congruence, Correspondence and Styles of Proof HOMEWORK

Day 6: Triangle Congruence, Correspondence and Styles of Proof HOMEWORK Day 6: Triangle Congruence, Correspondence and Styles of Proof HOMEWORK 1. If AB DE and ABC DEF as shown in the diagram, what additional information would make the triangles congruent using only SAS SAS

More information

Section 4-1 Congruent Figures. Objectives: recognize congruent figures and their corresponding parts

Section 4-1 Congruent Figures. Objectives: recognize congruent figures and their corresponding parts Section 4-1 Congruent Figures Objectives: recognize congruent figures and their corresponding parts Congruent Polygons Congruent Polygons have congruent corresponding parts Congruent sides Congruent Angles

More information

a b denominators cannot be zero must have the same units must be simplified 12cm 6ft 24oz 14ft 440yd m 18in 2lb 6yd 2mi

a b denominators cannot be zero must have the same units must be simplified 12cm 6ft 24oz 14ft 440yd m 18in 2lb 6yd 2mi Ratio of a to b a b a:b Simplifying Ratios: Converting: denominators cannot be zero must have the same units must be simplified 1 m = 100 cm 12 in = 1 ft 16 oz= 1 lb 3 ft = 1 yd 5, 280 ft = 1 mi 1,760

More information

m 6 + m 3 = 180⁰ m 1 m 4 m 2 m 5 = 180⁰ m 6 m 2 1. In the figure below, p q. Which of the statements is NOT true?

m 6 + m 3 = 180⁰ m 1 m 4 m 2 m 5 = 180⁰ m 6 m 2 1. In the figure below, p q. Which of the statements is NOT true? 1. In the figure below, p q. Which of the statements is NOT true? m 1 m 4 m 6 m 2 m 6 + m 3 = 180⁰ m 2 m 5 = 180⁰ 2. Look at parallelogram ABCD below. How could you prove that ABCD is a rhombus? Show that

More information

Geometry Advanced Fall Semester Exam Review Packet -- CHAPTER 1

Geometry Advanced Fall Semester Exam Review Packet -- CHAPTER 1 Name: Class: Date: Geometry Advanced Fall Semester Exam Review Packet -- CHAPTER Multiple Choice. Identify the choice that best completes the statement or answers the question.. Which statement(s) may

More information

Congruence. Department of Mathematics Education Faculty of Mathematics and Science YSU 2014

Congruence. Department of Mathematics Education Faculty of Mathematics and Science YSU 2014 Congruence Department of Mathematics Education Faculty of Mathematics and Science YSU 2014 Congruent Polygons Congruency Identify Congruent Figure Identify Congruent Figure Naming & Comparing Polygons

More information

Triangle Sum Theorem The sum of the measures of the three angles of a triangle is 180º.

Triangle Sum Theorem The sum of the measures of the three angles of a triangle is 180º. Triangle Sum Theorem The sum of the measures of the three angles of a triangle is 180º. Triangle Sum Theorem The sum of the measures of the three angles of a triangle is 180º. No-Choice Theorem If two

More information

Ratios, Proportions, and Similarity

Ratios, Proportions, and Similarity Ratios, Proportions, and Similarity A ratio is a comparison of two values by division. The ratio of two quantities, a and b, can be written in three ways: a to b, a:b, or a b (where b 0). A statement that

More information

Similarity and Congruence EOC Assessment (35%)

Similarity and Congruence EOC Assessment (35%) 1. What term is used to describe two rays or two line segments that share a common endpoint? a. Perpendicular Lines b. Angle c. Parallel lines d. Intersection 2. What is a term used to describe two lines

More information

BOOLEAN ALGEBRA. 1. State & Verify Laws by using :

BOOLEAN ALGEBRA. 1. State & Verify Laws by using : BOOLEAN ALGEBRA. State & Verify Laws by using :. State and algebraically verify Absorption Laws. (2) Absorption law states that (i) X + XY = X and (ii) X(X + Y) = X (i) X + XY = X LHS = X + XY = X( + Y)

More information

Understanding Reflections

Understanding Reflections Lesson 18 Understanding Reflections 8.G.1.a, 8.G.1.b, 8.G.1.c, 8.G., 8.G.3 1 Getting the idea A reflection is a tpe of transformation in which ou flip a figure across a line called the line of reflection.

More information

GEOMETRY SPRING SEMESTER FINALS REVIEW PACKET

GEOMETRY SPRING SEMESTER FINALS REVIEW PACKET Name Date Class GEOMETRY SPRING SEMESTER FINALS REVIEW PACKET For 1 2, use the graph. 6. State the converse of the statement. Then determine whether the converse is true. Explain. If two angles are vertical

More information

Geometry Fundamentals Midterm Exam Review Name: (Chapter 1, 2, 3, 4, 7, 12)

Geometry Fundamentals Midterm Exam Review Name: (Chapter 1, 2, 3, 4, 7, 12) Geometry Fundamentals Midterm Exam Review Name: (Chapter 1, 2, 3, 4, 7, 12) Date: Mod: Use the figure at the right for #1-4 1. What is another name for plane P? A. plane AE B. plane A C. plane BAD D. plane

More information

of Triangles Warm Up Lesson Presentation Lesson Quiz Holt McDougal Geometry

of Triangles Warm Up Lesson Presentation Lesson Quiz Holt McDougal Geometry 5-3 Medians Medians and and 6-3 Altitudes Altitudes of Triangles of Triangles Warm Up Lesson Presentation Lesson Quiz Geometry Warm Up 1. What is the name of the point where the angle bisectors of a triangle

More information

CSCI 220: Computer Architecture I Instructor: Pranava K. Jha. Simplification of Boolean Functions using a Karnaugh Map

CSCI 220: Computer Architecture I Instructor: Pranava K. Jha. Simplification of Boolean Functions using a Karnaugh Map CSCI 22: Computer Architecture I Instructor: Pranava K. Jha Simplification of Boolean Functions using a Karnaugh Map Q.. Plot the following Boolean function on a Karnaugh map: f(a, b, c, d) = m(, 2, 4,

More information

Reteaching Exploring Angles of Polygons

Reteaching Exploring Angles of Polygons Name Date lass Eploring Angles of Polygons INV X 3 You have learned to identify interior and eterior angles in polygons. Now you will determine angle measures in regular polygons. Interior Angles Sum of

More information

Reteach. Congruence and Transformations

Reteach. Congruence and Transformations Congruence and Transformations TYPES OF TRANSFORMATIONS (centered at (0, 0)) Translation (slide): (x, y) (x a, y b) Reflection y-axis: (x, y) ( x, y) x-axis: (x, y) (x, y) Rotation 90 clockwise: (x, y)

More information

Lesson. Warm Up flowchart proof. 2. False 3. D. Lesson Practice 48. a. assume m X m Y. b. AB is not perpendicular to CB.

Lesson. Warm Up flowchart proof. 2. False 3. D. Lesson Practice 48. a. assume m X m Y. b. AB is not perpendicular to CB. Warm Up 1. flowchart proof 2. False 3. D Lesson Practice a. assume m X m Y b. AB is not perpendicular to CB. c. An isosceles triangle has no sides of equal length. d. Assume that a triangle has more than

More information

2.1 Length of a Line Segment

2.1 Length of a Line Segment .1 Length of a Line Segment MATHPOWER TM 10 Ontario Edition pp. 66 7 To find the length of a line segment joining ( 1 y 1 ) and ( y ) use the formula l= ( ) + ( y y ). 1 1 Name An equation of the circle

More information

Squares and Rectangles

Squares and Rectangles 11 CHAPTER Squares and Rectangles Lesson 11.1 Squares and Rectangles Study the figure. Then fill in the blanks. 1. There are right angles. 2. There are equal sides. 3. There are pairs of parallel sides.

More information

One subset of FEAL, called FEAL-NX, is N round FEAL using a 128-bit key without key parity.

One subset of FEAL, called FEAL-NX, is N round FEAL using a 128-bit key without key parity. FEAL-NX SPECIFICATIONS 1 Introduction 1.1 Outline of the FEAL-NX cipher FEAL, the Fast Data Encipherment Algorithm, is a 64-bit block cipher algorithm that enciphers 64-bit plaintexts into 64-bit ciphertexts

More information

Think about it. Manufacturing? Architecture? Medicine?

Think about it. Manufacturing? Architecture? Medicine? Warm-Up 5 minutes IF you have an appropriate device, find at least one example of where ratios and proportions are used in the real world Think about it Before a building is built, an architect has to

More information

Building Blocks of Geometry

Building Blocks of Geometry Practice A Building Blocks of Geometry Name each geometric figure. 1. 2. 3. 4. 5. 6. Use the diagram to choose the correct answer. 7. Which of the following does not name a line on the diagram? A Line

More information

Unit 5. Similar Triangles

Unit 5. Similar Triangles Unit 5 Similar Triangles Lesson: Similar Triangles Just as congruence introduced us to new notation, similarity will have its own set of notation. If ΔCAT is congruent to ΔMEW, we write CAT MEW. If two

More information

Activity 8. Midsegment of a Triangle. Name. Date

Activity 8. Midsegment of a Triangle. Name. Date . Name Date Activity 8 Midsegment of a Triangle Construct the geometric object by following the instructions below, and then answer the questions about the object. 1. From the Lines Toolbar, select Triangle.

More information

Name Hr. Honors Geometry Lesson 9-1: Translate Figures and Use Vectors

Name Hr. Honors Geometry Lesson 9-1: Translate Figures and Use Vectors Name Hr Honors Geometry Lesson 9-1: Translate Figures and Use Vectors Learning Target: By the end of today s lesson we will be able to successfully use a vector to translate a figure. Isometry: An isometry

More information

. . $ 1, 67 / $<"'D $ Downloaded from at 7:31 CEST on Monday July 7th 2014 )& "* (+, -

. . $ 1, 67 / $<'D $ Downloaded from   at 7:31 CEST on Monday July 7th 2014 )& * (+, - !" *)) : &',!"#$ : ; 5-67 89 5 3 4/. ?@ 210./ +, -, "#$#%& $' (, : A A )& "* (+, -.(+, -. "#$#%& $' (, :B.@.C aabmoa@tums.ac.i :0 ' /)& -. "#$#%& $' (, :5.FC... D/.C )&.(+,.2+, - "#$#%& $' 2.&$3 4 567$$,

More information

Unit 1 Day 9. Triangle Congruence & CPCTC Using Triangle Sum Theorem

Unit 1 Day 9. Triangle Congruence & CPCTC Using Triangle Sum Theorem Unit 1 Day 9 Triangle Congruence & CPCTC Using Triangle Sum Theorem 1 Warm Up ABC and PQR are shown below in the coordinate plane: a. Show that ABC is congruent to PQR with a reflection followed by a translation.

More information

5.1 Congruent Triangles

5.1 Congruent Triangles 5.1 Congruent Triangles Two figures are congruent if they have the same and the same. Definition of Congruent Triangles ΔABC ΔDEF if and only if Corresponding Angles are congruent: Corresponding Sides

More information

TMCH Report March February 2017

TMCH Report March February 2017 TMCH Report March 2013 - February 2017 Contents Contents 2 1 Trademark Clearinghouse global reporting 3 1.1 Number of jurisdictions for which a trademark record has been submitted for 3 2 Trademark Clearinghouse

More information

FALL SEMESTER EXAM Directions: You must show work for all the problems. Unit 1. Angle. Angle Addition Postulate. Angle Bisector. Length of a segment

FALL SEMESTER EXAM Directions: You must show work for all the problems. Unit 1. Angle. Angle Addition Postulate. Angle Bisector. Length of a segment Name FALL SEMESTER EXAM Directions: You must show work for all the problems. Unit 1 Period Angle Angle Addition Postulate Angle Bisector Length of a segment Line Midpoint Right Angle Segment Segment Addition

More information

Similar Polygons. These rectangles are not similar. In the investigation, you will explore what makes polygons similar.

Similar Polygons. These rectangles are not similar. In the investigation, you will explore what makes polygons similar. CONDENSED LESSON 11.1 Similar Polygons In this lesson, you Learn what it means for two figures to be similar Use the definition of similarity to find missing measures in similar polygons Explore dilations

More information

Tape & Reel Packaging For Surface Mount Devices. Date Code Marking:

Tape & Reel Packaging For Surface Mount Devices. Date Code Marking: Tape & Reel Packaging For Surface Mount Devices Automation of surface-mount assembly by the use of pick-and-place equipment to handle tiny components has been enhanced by evolutionary improvements in tape-and-reel

More information

Congruent Triangles. The flag of the United Kingdom is shown below. Consider the four large triangles appearing on the top and the bottom of the flag.

Congruent Triangles. The flag of the United Kingdom is shown below. Consider the four large triangles appearing on the top and the bottom of the flag. Congruent Triangles Why? Then You identified triangles with congruent sides. (Lesson 9-3) The flag of the United Kingdom is shown below. Consider the four large triangles appearing on the top and the bottom

More information

Math-2. Lesson 5-2. Triangle Congruence

Math-2. Lesson 5-2. Triangle Congruence Math-2 Lesson 5-2 Triangle Congruence Naming Triangles Triangles are named using a small triangle symbol and the three vertices of the triangles. The order of the vertices does not matter for NAMING a

More information

Chapter 2 Diagnostic Test

Chapter 2 Diagnostic Test Chapter Diagnostic Test STUDENT BOOK PAGES 68 7. Calculate each unknown side length. Round to two decimal places, if necessary. a) b). Solve each equation. Round to one decimal place, if necessary. a)

More information

FGCU Invitational Geometry Individual 2014

FGCU Invitational Geometry Individual 2014 All numbers are assumed to be real. Diagrams are not drawn to scale. For all questions, NOTA represents none of the above answers is correct. For problems 1 and 2, refer to the figure in which AC BC and

More information

CIS-331 Spring 2016 Exam 1 Name: Total of 109 Points Version 1

CIS-331 Spring 2016 Exam 1 Name: Total of 109 Points Version 1 Version 1 Instructions Write your name on the exam paper. Write your name and version number on the top of the yellow paper. Answer Question 1 on the exam paper. Answer Questions 2-4 on the yellow paper.

More information

Parallelograms. Lesson 6-l. AB=CDandBc=AD. 3. Consecutive angles are supplementary. 4. Diagonals bisect each other but are not congruent

Parallelograms. Lesson 6-l. AB=CDandBc=AD. 3. Consecutive angles are supplementary. 4. Diagonals bisect each other but are not congruent Lesson 6-l Parallelograms Lesson 6-'1 : Parallelogram N" 1. Both pairs of opposite sides are congruent. AB=CDandBc=AD 2. Both pairs of opposite angles are congruent. /.A = Z.C and /.8 = /-D 3. Consecutive

More information

Proving Properties of a Parallelogram

Proving Properties of a Parallelogram Eplain Proving Properties of a Parallelogram You have alread used the Distance Formula and the Midpoint Formula in coordinate proofs As ou will see, slope is useful in coordinate proofs whenever ou need

More information

Elmo Servo Drives. Information Sheet for Crimson v2.0. Compatible Devices. Elmo Servo Drives using SimplIQ. Verified Device BAS-3/230-3

Elmo Servo Drives. Information Sheet for Crimson v2.0. Compatible Devices. Elmo Servo Drives using SimplIQ. Verified Device BAS-3/230-3 Elmo Servo Drives Information Sheet for Crimson v2.0 Compatible Devices Elmo Servo Drives using SimplIQ Verified Device BAS-3/230-3 Accessible Data Command Description Type Notes -- Motion Commands...

More information

7 CONGRUENCE OF TRIANGLES

7 CONGRUENCE OF TRIANGLES 7 CONGRUENCE OF TRIANGLES Exercise 7.1 Q.1. Complete the following statements : (a) Two line segments are congruent if. (b) Among two congruent angles, one has a measure 70 ; the measure of the other angle

More information

!!!"#$%&%#'"()*+!,&()*,

!!!#$%&%#'()*+!,&()*, -,.%'/,012)301#0)43(/15641.,/1'3##)0/15/!!!"#$%&%#'"()*+!,&()*, 78991',0%,'1:*50/1;? @ABC;789D @DBC;789D !"#$% 1 1.1 1.2 1.3 1.4 1.5 1.6 1.7 1.8 1.9 1.10 2 2.1."@)+..$ *%+/#$..& 6 2.2 2.3 2.4 2.5 2.6

More information

Construction Instructions. Construct the perpendicular bisector of a line segment. Or, construct the midpoint of a line segment.

Construction Instructions. Construct the perpendicular bisector of a line segment. Or, construct the midpoint of a line segment. Construction Instructions Construct the perpendicular bisector of a line segment. Or, construct the midpoint of a line segment. 1.) Begin with line segment XY. 2.) Place the compass at point X. Adjust

More information

WorkSHEET: Deductive geometry I Answers Name:

WorkSHEET: Deductive geometry I Answers Name: Instructions: Go through these answers to the three work sheets and use them to answer the questions to Test A on Deductive Geometry as your holiday homework. Hand this test to Mr Fernando when you come

More information

Congruence. CK-12 Kaitlyn Spong. Say Thanks to the Authors Click (No sign in required)

Congruence. CK-12 Kaitlyn Spong. Say Thanks to the Authors Click   (No sign in required) Congruence CK-12 Kaitlyn Spong Say Thanks to the Authors Click http://www.ck12.org/saythanks (No sign in required) To access a customizable version of this book, as well as other interactive content, visit

More information

Maintaining Mathematical Proficiency

Maintaining Mathematical Proficiency Name ate hapter 8 Maintaining Mathematical Proficiency Tell whether the ratios form a proportion. 1. 16, 4 12 2. 5 45, 6 81. 12 16, 96 100 4. 15 75, 24 100 5. 17 2, 68 128 6. 65 156, 105 252 Find the scale

More information

Squares and Rectangles

Squares and Rectangles Lesson.1 Skills Practice Name Date Squares and Rectangles Properties of Squares and Rectangles Vocabulary Define the term in your own words. 1. Explain the Perpendicular/Parallel Line Theorem in your own

More information

Triangles Chapter Problems

Triangles Chapter Problems Classify the Triangles by Sides or Angles Class Work Triangles Chapter Problems In problems #1-10, choose the most appropriate description for the given triangle. (quilateral, Scalene, Isosceles, Obtuse,

More information

Unit 3 Syllabus: Congruent Triangles

Unit 3 Syllabus: Congruent Triangles Date Period Unit 3 Syllabus: Congruent Triangles Day Topic 1 4.1 Congruent Figures 4.2 Triangle Congruence SSS and SAS 2 4.3 Triangle Congruence ASA and AAS 3 4.4 Using Congruent Triangles CPCTC 4 Quiz

More information

Date Target Assignment Done! W Review Worksheet. F 9-30 Project Cartoon Enlargement Project. T a 3.

Date Target Assignment Done! W Review Worksheet. F 9-30 Project Cartoon Enlargement Project. T a 3. Unit 3 Similar Figures and Dilations 2016-2017 Unit 3 Similar Figures and Dilations Target 1: Use proportions to identify lengths of corresponding parts in similar figures. Target 2: Perform and identify

More information

Butterflies, Pinwheels, and Wallpaper

Butterflies, Pinwheels, and Wallpaper Butterflies, Pinwheels, and Wallpaper Day Topic Homework IXL Grade 1 Inv 1.1 Inv 1/ACE # 1-6 2 Inv 1.2 Inv 1/ACE # 19-20 3 Inv 1.3 Inv 1/ACE # 8-12 (all part a only!) 4 Inv 1.4 Inv 1/ACE # 14-17, 30-34,

More information

a) Triangle KJF is scalene. b) Triangle KJF is not isosoceles. c) Triangle KJF is a right triangle. d) Triangle KJF is not equiangular.

a) Triangle KJF is scalene. b) Triangle KJF is not isosoceles. c) Triangle KJF is a right triangle. d) Triangle KJF is not equiangular. Geometry Unit 2 Exam Review Name: 1. Triangles ABC and PQR are congruent. Which statement about the triangles is true? a) A R b) C R c) AB RQ d) CB PQ 2. Which figure contains two congruent triangles?

More information

Thomas Whitham Sixth Form

Thomas Whitham Sixth Form Thomas Whitham Sixth Form Geometry Workbook Mathematics S J Cooper Year 8 thomaswhitham.pbworks.com Geometry () Constructions Name.. Do the following constructions within the spaces provided [practice

More information

6.1 Combinational Circuits. George Boole ( ) Claude Shannon ( )

6.1 Combinational Circuits. George Boole ( ) Claude Shannon ( ) 6. Combinational Circuits George Boole (85 864) Claude Shannon (96 2) Signals and Wires Digital signals Binary (or logical ) values: or, on or off, high or low voltage Wires. Propagate digital signals

More information