ASA, SAS,AAS,SSS
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This document discusses triangle congruence, including definitions of triangles, corresponding sides and angles, and the four main postulates used to prove triangles are congruent: SSS, SAS, ASA, and SAA. It provides examples of determining if triangles are congruent and finding missing side lengths through algebraic applications of the congruence postulates and theorems. Key ideas covered are the properties of triangles, corresponding parts of congruent triangles, and using congruence rules to solve problems.
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ASA, SAS,AAS,SSS
- 1. Ms. Anna Carmela Lavin
- 3. TRIANGLE Characteristics Has three sides and three angles The three angles sums up to 180
- 5. Name the Corresponding sides and angles Answer: According to side 1. 2. 3. Answer: According to angles 1. < < 2. < < 3. < <
- 7. KEY WORDS 1.TRIANGLE 2. CORRESPONDING 3. CONGRUENT
- 9. }Ways to prove that Triangles are Congruent
- 10. SSS CONGRUENCE POSTULATE Three sides of one triangle are congruent to the three sides of another triangle
- 11. R P S Q U T STUPQR Congruent or Not Congruent
- 12. P S T G L M Congruent or Not LGMPST Not Congruent
- 13. Congruent or Not D E G F DEF GEF Congruent
- 14. SAS CONGRUENCE POSTULATE If two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle
- 15. Congruent or Not ABC DEF Congruent
- 16. Congruent or Not APQ BQP Not Congruent
- 17. Congruent or Not MPN QSR Congruent
- 18. ASA CONGRUENCE POSTULATE If two angles and the included side of one triangle are congruent to the two angles and the included side of another triangle
- 19. Congruent or Not PQR TSR Congruent
- 21. Congruent or Not ABC DEF Not Congruent
- 22. SAA THEOREM If the two angles and the nonincluded side of one triangle are congruent to two angles and the nonincluded side of another
- 23. Congruent or Not Not Congruent
- 25. Congruent or Not? Explain Not Congruent
- 26. Congruent or Not? Explain Congruent by SAA
- 27. Congruent or Not? Explain Congruent by ASA
- 28. Congruent or Not? Explain Congruent by SAS
- 29. Congruent or Not? Explain Not Congruent
- 30. Congruent or Not? Explain Not Congruent
- 31. Algebraic Application L M N G F H 800 (2x) 0 Congruent or Not? Why? Find x?
- 32. L M N X Y Z 510 (4x)0 Algebraic Application 650 Congruent or Not? Find x?
- 33. Algebraic Application (4x-2) cm 22 cm Congruent or Not? Find x?
- 34. Algebraic Application N M K J 500 Congruent or Not? Find x and y? y 12 x+9
- 35. Algebraic Application L M N S R Q 2x+11 3x+9 y+100 (2y 40)0 Congruent or Not? Find x and y?
- 36. Something to think 1. Are all isosceles congruent? 2. Are all right triangles congruent? 3.Are all equilateral triangles congruent? 4. Can congruence be determined without measurements?
- 37. Activity Congruent or Not? Find x and y? 3 600
- 38. Activity N M K J L GIVEN: 艶叶 巨叶 IF m< 艶介 = , then m< 巨基 = ? IF MN=15 in, then KJ = ?