'Abc def' presentation slideshows

Proving Triangles are Congruent SSS, SAS; ASA; AAS

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?????????. D /. C /. D. C. A /. B /. A. B. ????????????. ????. ????. ????????????????????????. 1 ? ??????. 2 ? ?????????? ??????. ????????. 3. ???????. D /. C /. D. C. A /. B /. A. B. ??????????. O.

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Reducing Symmetry in Matrix Models

Reducing Symmetry in Matrix Models. Alan Frisch, Ian Miguel, Toby Walsh (York) Pierre Flener, Brahim Hnich, Zeynep Kiziltan, Justin Pearson (Uppsala). Week 1. Week 2. Week 3. Week 4. Week 5. Week 6. Week 7. Period 1. 0 vs 1. 0 vs 2. 4 vs 7. 3 vs 6. 3 vs 7. 1 vs 5. 2 vs 4.

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?????. ????????. ASA. ?????????. ?????. 1. ?????????. 2. ???????????????? ?. ??? ? ? ? ?????????????. ???? ?????????????? ???????. ?????. C. A. B. D. E. ??? ABC ??????????? DEF ? DE =AB , ?D = ?A ? ? E = ?B. M. N. F. ?? : 1. ??? DE = AB.

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System Programming

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2. ????? 1 ? 500 ???? , ????????????? 24cm, ?????????? .

A. ?. D. ?. E. ?. ?. C. B. ????. 1. ???? ? ABC ?? P ? AC ?????? BP ? ? ABP= ?C , AP=2 , PC=4 , ? AB=. 2. ????? 1 ? 500 ???? , ????????????? 24cm, ??????????. 120m. 3. ???? D ? E ???? ABC ??? AB ? AC ???? AD=3 ? AB=8 ? AE=4,AC=6,S ? ADE =8 ????? DECB ???? ___________. 24. ????.

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4.5 Proving ? s are ? : ASA and AAS

4.5 Proving ? s are ? : ASA and AAS. Objectives:. Use the ASA Postulate to prove triangles congruent Use the AAS Theorem to prove triangles congruent.

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???????. ??????? ??. ? 1 ? ?? AB?DB ?? B,CD?DB ?? D,AB=6 ? CD=4 ? BD=14. ? DB ?????? P ??? C ? D ? P ????????? P ? B ? A ????????? ? ???? , ?? DP ? ; ????? , ?????.

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???????. ? 1 ? ?? AB?DB ?? B,CD?DB ?? D,AB=6 ? CD=4 ? BD=14. ? DB ?????? P ??? C ? D ? P ????????? P ? B ? A ????????? ? ???? , ?? DP ? ; ????? , ?????.

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SOLUTION

AB. 4. 8. Is either DEF or GHJ similar to ABC ?. DE. 3. 6. Compare ABC and DEF by finding ratios of corresponding side lengths. =. =. EXAMPLE 1. Use the SSS Similarity Theorem. SOLUTION. Shortest sides. =. =. =. =. 12. 8. 4. BC. AB. 16. 4. CA. 8.

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GBK Geometry

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EXAMPLE 1

?. ?. In the diagram, ABC ? DEF . Find the indicated ratio. a. Ratio (red to blue) of the perimeters. b. Ratio (red to blue) of the areas. EXAMPLE 1. Find ratios of similar polygons. a. By Theorem 6.1 on page 374, the ratio of the perimeters is 2:3. b.

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EXAMPLE 1

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EXAMPLE 1

?. ?. In the diagram, ABC ? DEF . Find the indicated ratio. a. Ratio (red to blue) of the perimeters. b. Ratio (red to blue) of the areas. EXAMPLE 1. Find ratios of similar polygons. a. By Theorem 6.1 on page 374, the ratio of the perimeters is 2:3. b.

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