L1-mrsstilesmath.weebly.com/uploads/4/9/2/1/4921578/ws... · 2018. 9. 6. · 'PreA'P
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'PreA'P <:;eoV\l\,etrk:j WorRsVieet COV\l\,bo for T"'6ST :1..2 NCI V\l\,e 'Kt.w DClte __ ~ _ For each proof, fill in any missing statements or reasons. (1) Given: BD bisects LABE . Prove: L2 ~ L4 Statements E Reasons 2. Definition of angle bisector 2. L \ ::::.L '2.... 3. Ll ~L4 4. L'- ~ L1- (2) Given: mLI = mL4 Prove: mL2 = mL3 Statements Reasons 1. mLI = mL4 2. Ll and L2 are supplementary AND L3 and L4 are supplementary. 3. mLl +mL2 = 180" AND mL3+mL4 -180' 3. 4. mLl+mL2=mL3+mL4 5. mL4 + mL2 = mL3 + mL4 4. Su.bS\\~-\'\()t\ ?~E::- (or ~nsiti"~ \'oc) 5. S"'-\:)~~~1\CI" \,()E; 6. mL4=mL4 7. Subtraction POE (3) Given: Ll ~ L3 Prove: Ll and L2 are supplementary. Statements 1. Ll ~L3 Reasons 2. mLl=mL3 3. Linear Pair Theorem 4. mL3+mL2 = 180' 5. mLI + mL2 = 180' 6. Ll and L2 are supplementary.
Transcript of L1-mrsstilesmath.weebly.com/uploads/4/9/2/1/4921578/ws... · 2018. 9. 6. · 'PreA'P
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'PreA'P
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(4) Given: mLl = mL2Prove: L4 is supplementary to L5.
Statements Reasons1. mLl = mL2 1. ~'I~n
2. L5 ~ zt 2. W-t\ c,..\ L \\-."'".3. mL5 = mLl 3. d~- C~ N L~-4. t:2.. ~ z..4 ~rt .sIAff llr\'\t.n+-A.r~ 4. Linear Pair Theorem
5. mL2+mL4 = 180' 5. o.~_ o ~ S"'ff' \t.~tY\·Q..(Lj LS6. mL5=mL2 6. 6\}.'oS~~-\\~'f',~C: / ~S\\\ve.. POt-7. M L S,. 'rn L l.\ -=- 1& o· 7. Substitution POE
8. c: 4\ 'I.~ !>u..rp- ~ LS 8. d.e-C' _ (J~ S\A.n It~~r'Ij L5
(5) Given: KP = ST; PR = TVProve: KR = SV • • •K p R
• • •Statements Reasons s r v
1. given
2. KP+PR=KR
3. ST+TV=KR
4. ST+TV=SV
5. KR=SV
4. SeSY\'\ tr)-r A 0..&':1.. no"" ~ShAl'l~
5. SuloSh ~1\cr\ ?~ E::
Find the value of each variable. Show your work.
6. 7.
\ C:?1.',(lOy-3)/
~--------- ...
(2~+~l)O:>
1~L_
-!\X"UJ(6x+26)O
~-
/
2...)(;-4\ =c;.x-.,.'¥b ::: 3x[)
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8. 9.
3(\8)-r-(3y-7r ;\r
7(5 )0Y
~O~
3X\- \=- ~:!.3x -:-,-\2...
LX~\~ )
(22x+120r (2x2-3x 0
2.2.. x+ \ 2...0 +- L..y...":. "3 x:=. 19o2-
2..')< -t \q x +\2..0::' \ io2-
2.)( -t1'tX-~C-: 0('2..>
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GJ"'tf\t!)\ tmak OO~M . \f L fro~ ~ LeoD) ~ L ~OC ~ L- 130 DC':, \ *,n', L..t\t> ~ ~ LCo D~I(~: L'ho c, ~ L BDD
oo(~C>~ ~ LCot)
/2..)Y'I'I L~()'i'M L ~(. -:.'" LA-DC.~ M.L G:ob-tlh c: ~OC.~ n-t c: \;OD
a) m L.~~9-:.t'l""l '-Let>"r) 'M L.Co ~ "c p" 'Be C. -=- P"'I lA~'c C.5) ~ L f>r~c.. e, Y'Y\. c. ibcD
,
~) L~cc.. ~ L ~'\>
\)~
2.) ~\~ ~1;c:n l'()'S~~~.>» de~ o~ "1. L SA\-) $\.\.b Sh \-v...t; I;;)Y) '?~ E.::
S) $u'os~-\--\\~n ?oE:.
~I'\\je.rs ~ L Co t>
o
\) L~oc..~L.BClD I)~
(' 'l-) 0'\LM'btP'\L.-~C.Z.. In LA-oc "2..) f\~e. ~cld.it\~h ~s~\cd.e~ ~L CO\:>1-f'h LBoc..:::. 'fhL BcD ~
'3) \'Y) L-~ c.. -e, 0"\ c: ~b\) ~ .l ••.r- r- III. 0,) o.\:T \,')r- 0;::.. LS
-0VY\ L ~o'e11 (Yl~~ c..::"n"\LCoD t-ML&vc ~ Su.'oSh t-v..1\cY\ \,,1.':) e:-S) rtl Le,()C. :::~ L~~~ s) reHex·,V'e. pc ~~) M l.,.~'b--::'mLCO,? b) S~~~Y'\. 9~CC
'1') L..~o?> ~ LCoD 1-)d.e~ ()f.. '!: LS
