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NAME_________________________________________DATE___________________ GEOMETRY MRS. BINASO CONGRUENT TRIANGLES III ADDITION/SUBTRACTION POSTULATES In each of the problems below, you are asked to find the sum or difference of two line segments or two angles. If it is not possible to find this sum or difference, simply write "no answer" after the problem. 1. A D 2. A B E a) b) c) d) B C AE + EC = ? AC EC = ? BC + CD = ? BD BE = ? E a) b) c) d) D <EAD + <DAB = ? <EAB <DAB = ? <AEC <BCE = ? <ADE + <ADB = ? In each of the problems below, write a valid conclusion. 3. 4. A B A C F E D B D C E Given: <BAD <CDA <BAE <CDE Conclusion: ? Given: AF CD FE BC Conclusion: ? 5. C D C 6. A F E D A E F B B Given: AE ED BE EC Conclusion: ? Given: BE CD DF EF Conclusion: ? C In each of the following, write a valid two-column proof. 7. R 8. E A S A B C F T Given: AE DF <A <D AC DB Prove: AEB DFC Given: AS RT A is the midpoint of RT Prove: RAS TAS 9. 10. E C D B C D A F A F B E Given: ED DA BA DA DC AF <E <B Prove: EDF BAC Given: DC DE <x <y <z <w Prove: AE AC