University:
Carleton College
Course:
MATH 111 | Introduction to Calculus
Academic year:

2019
Views:

375

Pages:

2
Author:

5CelestialChronicle

Geometry CP �········································� : 5.6(Day 2): Indirect Proof WS : •••••••••••••••••••••••••••••••••••••••••••• • • • Name 'Ke� •te a temporary assumption you could make to prove the conclusion indirectly. 2. In MBC, if m LA= 100 , then LB is not a right angle. 1. If x and y are odd integers, then x • y is odd. Temporary Assumption: )(' ° 'I i � -ev er. Temporary Assumption: J. €>; � ri-3h t �9,� 0.. 3. You study partner is planning to write an indirect proof to show that LA is an obtuse angle. She states "Assume temporarily that LA is an acute angle." What has your study partner overlooked? --\1\ � OJ\5\� CC)U\O 'o-e °' �,3nt o.n9\t. 4. Write an indirect proof for the following. J Given: LH f. LK Prove: JH f. JK Step 1: flt.S�UtY\ e J \\- -:..J',( '+'h-t B� f\1'g\e. ihr'l1 • �ve,c 1 -\t\,� c-(l\\'roaiC'f) '-\-h-e �C. ¼-e ��\...ff\,v\i m (;l.(. (\O-\- ..L 1SJ\ OY-e \ � ¼� �' c.h .prov 121 6. Write an indirect proof. Given: AB = AD, LBAC is not congruent to LDAC A Prove: BC is not congruent to DC step 1: Plss\,)me & ·, s tOf'l�rv.e..n-\- BC� step2:\t- ITT)� °frc, � tt> .Oc.. AC b'j re-f\-e.>c.. � b f\D C 'o � SSS, L.�f\C. -:; LOfK. 'o C.()C:rc.. 'j \-to�eve( ·tn\� cc..nrfa.c\,a -+n-e :fi\{en. Slep3:1herefc,tt. � OSS�(j'\ & \ n* 'is CU\9'1\Ae,nt Tu <:> fQ\)-e OC.. V-.hich pvo\JeJ 7. Write an indirect proof. Given: P is not the midpoint of HK, HJ =fK Prove: JP does not bisect LHJK J'? dot� 'o\.S€C:'c L-H3�� L.\t3" � L'?,j� -SQ �.TI> b� ref\ ex,v-e, l:l \t:S () � � �St Y>j .S Y-\-.S � � � 'l>':j c.�c..1 c. o..no- ·-1' \ s mi�o,�-1 cf ffi-. \to�v-er- '-\¾)\) (c.n\YQ.o.i � � '()'-.Jet,, step2:\t- Step3: \Y\Q.rt,fue_ J '11\'j �'<0\/e.l � 0..15.��(n •1) does nr1t bi sec.\: f.�\�� L r\-J\l. \),.\r\\(,V\

Geom Indirec Proof Worksheet Key

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