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Introducing Mathematical Proof: For each situation described below

Introducing Mathematical Proof: For each situation described below a) Draw diagram of the situation (to scale only if the information given makes it possible) b) Answer each question is a complete sentence. 1. BF is the angle bisector of EBG 2. M is the midpoint of XY

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Introducing Mathematical Proof: For each situation described below

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  1. Introducing Mathematical Proof: For each situation described below a) Draw diagram of the situation (to scale only if the information given makes it possible) b) Answer each question is a complete sentence. 1. BF is the angle bisector of EBG 2. M is the midpoint of XY Why can you assume m EBF = mFBG? Why can you assume that XM =MY? 3. ABC and DEF are supplementary 4. JKL and LKM are adjacent and and mABC = 22. mJKM = 110. Why can you assume m DEF = 158? Why can you assume mJKL + mLKM = 110?

  2. Introducing Mathematical Proof: For each situation described below a) Draw diagram of the situation (to scale only if the information given makes it possible) b) Answer each question is a complete sentence. 5. HG is in the interior of JHK 6. mRST = 25 and mTSU = mRST Why can you assume m JHG + mGHK = mJHK? Why can you assume that mTSU = 25? Why can you assume m JHG < mJHK? Why can you assume that ST is an angle bisector? Why can you assume that mRSU = 50?

  3. Introducing Mathematical Proof: For each situation illustrated below a) Make two different conclusions about the figures in the diagram as possible. b) Support each conclusion with a reason, explanation or justification. 7. AB = BC, BC = CD 8. mRST = 25 and mTSU = mRST (not drawn the scale) (not drawn the scale) Conclusion I: Conclusion I: Justification: Justification: Conclusion II: Conclusion II: Justification: Justification:

  4. Introducing Mathematical Proof: For each situation illustrated below a) Make three different conclusions about the figures in the diagram as possible. b) Support each conclusion with a reason, explanation or justification. 9. BA is an angle bisector of DBC 10. m AB = m BC, m BC = m CA (not drawn the scale) (not drawn the scale) Conclusion I: Conclusion I: Justification: Justification: Conclusion II: Conclusion II: Justification: Justification: Conclusion III: Conclusion III: Justification: Justification:

  5. Introducing Mathematical Proof: For each situation illustrated below a) Make as many different conclusions about the figure in the diagram as possible. b) Support each conclusion with a reason, explanation or justification. 11. Lines MN and PQ intersect at O (not drawn the scale) Conclusion I: Conclusion IV: Justification: Justification: Conclusion II: Conclusion V: Justification: Justification: Conclusion III: Conclusion VI: Justification: Justification:

  6. Introducing Mathematical Proof: For each situation illustrated below a) Make as many different conclusions about the figure in the diagram as possible. b) Support each conclusion with a reason, explanation or justification. 12. RT is perpendicular to GH at O (not drawn the scale) Conclusion I: Conclusion IV: Justification: Justification: Conclusion II: Conclusion V: Justification: Justification: Conclusion III: Conclusion VI: Justification: Justification:

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