University:
East Georgia State College
Course:
MATH 1001 | Quantitative Skills & Reasoning
Academic year:

2021
Views:

104

Pages:

3
Author:

StellarSymphony

YOU TRY: Does the diagram give enough information to show the triangles are congruent? If so, are you using SAS or SSS? 2. E L I!' J t;;?J U 5/'.IS *A proof is ()... lohVihci, 3. • T �SS S"Af 4Y,IA,N ... t -,,...,,, fome.Hti,, iJ 11'kl.. Writing a Two-Column Proof: • • • • • • List the given information as your first statement(s). Use information from the diagram, like a shared side or vertical angles. Give a reason for every statement. • Use the given information, definitions, postulates and theorems as reasons. (p. 706) List statements in logical order. The last statement should be the one you are trying to prove. Example 3: Given • Prove. JL ::::: NL L is the midpoint of KM. 1:::,.JKJ,::::::. l:::,.NML 1,.,,-""' Statements Reasons G ivtyt 2.__________ _ 2. Lis the midpoint of KM 3. LJLK = = ANML e ,_r /k( o{ miJp0in1.. al-(. _ '1-trliul 3. ___ ...;.;;.______ LNLM 4. 4. KL= ML 5. AJKL K.__H-�n-�--r,M ✓ SIi S 5. ----'-"-"'"-------I I I I Example 4: Given Prove p = n'I(gAG,RA RG l:;.DRA l:;.DRG = \ j A Reasons Statements 1. DR J. AG ;z ,i :; 2. Given 2._________ = 3. LDRA and LDRG are right angles v" 4. LDRA = LDRG l7ff ,,-� 1,_...:::....:....:.,________ 4. D1l' o.f .L t:Je{ 3. ---------- All r¾ 4 !f 5,, ___c_:cf(,,--=----------- 5. Reflexive 6. LlDRA 6. __....:.,________ )U TRY: = LlDRG v SIIS = YZ,XZ bisects LWZY Prove: LlWXZ = LlYXZ Given: wz Statements wi ✓ Reasons rz !:: z 1. _:...:....c._______ 2. xz bisects LWZY �xz'/ ==- wzx c: 3. ----''---------- 3. Definition of Angle Bisector 4. 5. LlWXZ = LlYXZ 5. t.efltx.i � SHS

Math Geom Proving Triangles Notes 5.2

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