11X1 T08 02 triangle theorems (2011)

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<ul><li> 1. Triangle Theorems</li></ul> <p> 2. Triangle Theorems A The angle sum of any triangle is 180B C 3. Triangle Theorems A The angle sum of any triangle is 180BA B C 180 sum ABC 180 C 4. Triangle Theorems AThe angle sum of any triangle is 180B A B C 180 sum ABC 180 C Proof: 5. DTriangle Theorems A The angle sum of any triangle is 180 EBA B C 180 sum ABC 180 C Proof: Construct DE||BC passing through A 6. DTriangle Theorems AThe angle sum of any triangle is 180EB A B C 180 sum ABC 180 C Proof: Construct DE||BC passing through ADAB ABC alternate s , DE || BC 7. DTriangle Theorems AThe angle sum of any triangle is 180EB A B C 180sum ABC 180 C Proof: Construct DE||BC passing through ADAB ABCalternate s , DE || BC EAC ACBalternate s , DE || BC 8. D Triangle Theorems A The angle sum of any triangle is 180 EBA B C 180sum ABC 180 CProof:Construct DE||BC passing through A DAB ABCalternate s , DE || BC EAC ACBalternate s , DE || BC DAB BAC CAE 180straight DAE 180 9. D Triangle Theorems A The angle sum of any triangle is 180 EBA B C 180sum ABC 180 CProof:Construct DE||BC passing through A DAB ABCalternate s , DE || BC EAC ACBalternate s , DE || BC DAB BAC CAE 180straight DAE 180 ABC BAC ACB 180 10. ABCD 11. AThe exterior angle of any triangle is equalto the sum of the two opposite interiorB anglesC D 12. AThe exterior angle of any triangle is equalto the sum of the two opposite interiorB anglesACD A B exterior , CAB C D 13. A The exterior angle of any triangle is equal to the sum of the two opposite interiorBangles ACD A B exterior , CAB CDProof: 14. A The exterior angle of any triangle is equal to the sum of the two opposite interiorBE anglesACD A Bexterior , CAB C DProof:Construct CE||BA 15. A The exterior angle of any triangle is equal to the sum of the two opposite interiorBE anglesACD A B exterior , CAB C DProof:Construct CE||BAABC ECD corresponding s , CE || BA 16. A The exterior angle of any triangle is equal to the sum of the two opposite interiorBE anglesACD A B exterior , CAB C DProof:Construct CE||BAABC ECD corresponding s , CE || BABAC ACE alternate s , CE || BA 17. A The exterior angle of any triangle is equal to the sum of the two opposite interiorBE anglesACD A B exterior , CAB C DProof:Construct CE||BAABC ECD corresponding s , CE || BABAC ACE alternate s , CE || BAACD ACE ECDcommon 18. A The exterior angle of any triangle is equal to the sum of the two opposite interiorBE anglesACD A B exterior , CAB C DProof:Construct CE||BAABC ECD corresponding s , CE || BABAC ACE alternate s , CE || BA ACD ACE ECD common ACD ABC BAC 19. APolygon Theorems B CD 20. APolygon Theorems B The angle sum of any quadrilateral is 360 CD 21. APolygon Theorems B The angle sum of any quadrilateral is 360 A B C D 360sum ABCD 360 CD 22. APolygon Theorems B The angle sum of any quadrilateral is 360 A B C D 360sum ABCD 360 Proof: CD 23. APolygon Theorems B The angle sum of any quadrilateral is 360 A B C D 360sum ABCD 360 Proof: CD 24. APolygon Theorems B The angle sum of any quadrilateral is 360 A B C D 360sum ABCD 360 Proof: sum ABC 180 CD 25. APolygon Theorems B The angle sum of any quadrilateral is 360 A B C D 360 sum ABCD 360 Proof: sum ABC 180 (+) Csum ADC 180D 26. APolygon Theorems B The angle sum of any quadrilateral is 360 A B C D 360 sum ABCD 360 Proof: sum ABC 180 (+) Csum ADC 180Dsum ABCD 360 27. APolygon Theorems B The angle sum of any quadrilateral is 360 A B C D 360 sum ABCD 360 Proof: sum ABC 180 (+) Csum ADC 180Dsum ABCD 360B CA DE 28. APolygon Theorems B The angle sum of any quadrilateral is 360 A B C D 360 sum ABCD 360 Proof: sum ABC 180 (+) Csum ADC 180Dsum ABCD 360The angle sum of any pentagon is 540B CA DE 29. APolygon TheoremsB The angle sum of any quadrilateral is 360A B C D 360 sum ABCD 360 Proof: sum ABC 180 (+) C sum ADC 180D sum ABCD 360 The angle sum of any pentagon is 540B A B C D E 540 sum ABCDE 540 CA DE 30. APolygon TheoremsB The angle sum of any quadrilateral is 360A B C D 360 sum ABCD 360 Proof: sum ABC 180 (+) C sum ADC 180D sum ABCD 360 The angle sum of any pentagon is 540B A B C D E 540 sum ABCDE 540 C Proof:A DE 31. APolygon TheoremsB The angle sum of any quadrilateral is 360A B C D 360 sum ABCD 360 Proof: sum ABC 180 (+) C sum ADC 180D sum ABCD 360 The angle sum of any pentagon is 540B A B C D E 540 sum ABCDE 540 C Proof:A DE 32. APolygon TheoremsB The angle sum of any quadrilateral is 360A B C D 360 sum ABCD 360 Proof: sum ABC 180 (+) C sum ADC 180D sum ABCD 360 The angle sum of any pentagon is 540B A B C D E 540 sum ABCDE 540 C Proof:A sum ABE 180 DE 33. APolygon TheoremsB The angle sum of any quadrilateral is 360A B C D 360 sum ABCD 360 Proof: sum ABC 180 (+) C sum ADC 180D sum ABCD 360 The angle sum of any pentagon is 540B A B C D E 540 sum ABCDE 540 C Proof:A sum ABE 180sum BED 180 DE 34. APolygon TheoremsB The angle sum of any quadrilateral is 360A B C D 360 sum ABCD 360 Proof: sum ABC 180 (+) C sum ADC 180D sum ABCD 360 The angle sum of any pentagon is 540B A B C D E 540 sum ABCDE 540 C Proof:A sum ABE 180 (+)sum BED 180 Dsum BDC 180E 35. APolygon TheoremsB The angle sum of any quadrilateral is 360A B C D 360 sum ABCD 360 Proof: sum ABC 180 (+) C sum ADC 180D sum ABCD 360 The angle sum of any pentagon is 540B A B C D E 540 sum ABCDE 540 C Proof:A sum ABE 180 (+)sum BED 180 Dsum BDC 180E sum ABCDE 540 36. The angle sum of any polygon is 180n-2 , where n is the number of sides 37. The angle sum of any polygon is 180n-2 , where n is the number of sides aeb c d 38. The angle sum of any polygon is 180n-2 , where n is the number of sides aeb The exterior angle sum ofany polygon is 360 c d 39. The angle sum of any polygon is 180n-2 , where n is the number of sides ae bThe exterior angle sum of any polygon is 360c da b c d e 360 exterior sum 360 40. The angle sum of any polygon is 180n-2 , where n is the number of sidesaebThe exterior angle sum of any polygon is 360 cd a b c d e 360exterior sum 360 Exercise 8B; 1dg, 2c, 3dh, 5ace, 6ab (iii), 7b, 8bfh, 9ad, 10dh,11ad, 12c, 16, 18, 20</p>