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Mrs. Rivas

Mrs. Rivas. Lesson 4-1. . Complete each congruence statement. 1. 2. 3. 4. 5. 6. 7. 8. Mrs. Rivas. Lesson 4-1. State whether the figures are congruent. Justify your answers. 9. Yes ; corresponding sides and corresponding angles are ≅. Mrs. Rivas. Lesson 4-1.

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Mrs. Rivas

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  1. Mrs. Rivas Lesson 4-1 . Complete each congruence statement 1. 2. 3. 4. 5. 6. 7. 8.

  2. Mrs. Rivas Lesson 4-1 State whether the figures are congruent. Justify your answers. 9. Yes; corresponding sides and corresponding angles are ≅.

  3. Mrs. Rivas Lesson 4-1 State whether the figures are congruent. Justify your answers. 10. No; the only corresponding part that is ≅ is

  4. Mrs. Rivas Lesson 4-1 State whether the figures are congruent. Justify your answers. 11. Yes; corresponding sides and corresponding angles are ≅.

  5. Mrs. Rivas Lesson 4-1 State whether the figures are congruent. Justify your answers. 12. Yes; corresponding sides and corresponding angles are ≅.

  6. Mrs. Rivas Lessons 4-2 and 4-3 Can you prove the two triangles congruent? If so, write the congruence statement and name the postulate you would use. If not, write not possible and tell what other information you would need. 13.

  7. Mrs. Rivas Lessons 4-2 and 4-3 Can you prove the two triangles congruent? If so, write the congruence statement and name the postulate you would use. If not, write not possible and tell what other information you would need. 14..

  8. Mrs. Rivas Lessons 4-2 and 4-3 Can you prove the two triangles congruent? If so, write the congruence statement and name the postulate you would use. If not, write not possible and tell what other information you would need. 15.

  9. Mrs. Rivas Lessons 4-2 and 4-3 Can you prove the two triangles congruent? If so, write the congruence statement and name the postulate you would use. If not, write not possible and tell what other information you would need. 16.

  10. Mrs. Rivas Lessons 4-2 and 4-3 17. Given:, bisects . Prove: bisectsmeans that Given • Reflective property of ≅ SSS • Def. of ≅. • Reflective property of ≅ bySAS.

  11. Mrs. Rivas Lessons 4-2 and 4-3 18. Given: , , , P is the midpoint of . Prove: It is given that and . • By the Addition. Post., . • Since is the midpoint of , . • It is given that , soby SAS.

  12. Mrs. Rivas Lesson 4-4 21. Given: Prove: , so. by the Reflexive Prop. of . Since, bySAS, • Thenby CPCTC.

  13. Mrs. Rivas Lesson 4-4 22. Given: Prove: Reflexive Prop. of . • Sinceand • byAAS byCPCTC

  14. Mrs. Rivas Lesson 4-4 23. Given: , is the midpoint of Prove: ,Given is the midpoint Reflexive Property Reflexive Property SSS AAS CPCTC CPCTC

  15. Mrs. Rivas Lesson 4-4 24. Given: , Prove: ,Supplement of angles are . Given Vertical⦞ are . ASA CPCTC

  16. Mrs. Rivas Lesson 4-5 Find the value of each variable 25.

  17. Mrs. Rivas Lesson 4-5 Find the value of each variable 26.

  18. Mrs. Rivas Lesson 4-5 Find the value of each variable 27. base angles are congruent

  19. Mrs. Rivas Lesson 4-5 28. Given: Prove: is isosceles. Given Isosceles ∆ Theorem ≅ Supplement Theorem Given ASA CPCTC andis isosceles by Isosceles ∆Theorem

  20. Mrs. Rivas Lesson 4-5 29. Given: Prove: is isosceles and Given • Vertical ⦞ are ≅. SAS • CPCTC Isosceles ∆ Theorem Add. Prop. of ≅ so by the Add. Post. and substitution. by the Conv. of the Isosceles ∆Theorem. • is isosceles by Definition of Isosceles ∆.

  21. Mrs. Rivas Lessons 4-6 and 4-7 Name a pair of overlapping congruent triangles in each diagram. State whether the triangles are congruent by SSS, SAS, ASA, AAS, or HL. 30.

  22. Mrs. Rivas Lessons 4-6 and 4-7 Name a pair of overlapping congruent triangles in each diagram. State whether the triangles are congruent by SSS, SAS, ASA, AAS, or HL. 31.

  23. Mrs. Rivas Lessons 4-6 and 4-7 Name a pair of overlapping congruent triangles in each diagram. State whether the triangles are congruent by SSS, SAS, ASA, AAS, or HL. 32.

  24. Mrs. Rivas Lessons 4-6 and 4-7 Name a pair of overlapping congruent triangles in each diagram. State whether the triangles are congruent by SSS, SAS, ASA, AAS, or HL. 33.

  25. Mrs. Rivas Lessons 4-6 and 4-7 34. Given: M is the midpoint of , Prove: Given by the Conv. of the Isosceles ∆ Theorem. by the Def. of Midpoint means thatis a right angle and is a right ∆. means thatis a right ⦨ and is a right ∆. • by HL.

  26. Mrs. Rivas 35. The longest leg of ,, measures centimeters. measures centimeters. You measure two of the legs of and find that and . Can you conclude that two triangles to be congruent by the HL Theorem? Explain why or why not. No; you only know that two sides (SS) are congruent, and you don’t know that there are right angles.

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