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Mrs. Rivas

Mrs. Rivas. 4-1 . List each of the following. 1. three pairs of congruent sides. 2. three pairs of congruent angles. Mrs. Rivas. Algebra Find the values of the variables. 3. Mrs. Rivas. Algebra Find the values of the variables. 4. Mrs. Rivas.

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Mrs. Rivas

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  1. Mrs. Rivas 4-1. List each of the following. 1. three pairs of congruent sides 2. three pairs of congruent angles

  2. Mrs. Rivas Algebra Find the values of the variables. 3.

  3. Mrs. Rivas Algebra Find the values of the variables. 4.

  4. Mrs. Rivas Algebra ABCD FGHJ. Find the measures of the given angles or lengths of the given sides. 5. B G A F C H D J

  5. Mrs. Rivas Algebra . Find the measures of the given angles or lengths of the given sides. 6. B G A F C H D J

  6. Mrs. Rivas Algebra . Find the measures of the given angles or lengths of the given sides. 7. B G A F C H D J

  7. Mrs. Rivas Algebra . Find the measures of the given angles or lengths of the given sides. 8. B G A F C H D J

  8. Mrs. Rivas 4-2 Draw . Use the triangle to answer the questions below. 9. What angle is included between and ? G M T

  9. Mrs. Rivas 4-2 Draw . Use the triangle to answer the questions below. 10. Which sides include ? G M T

  10. Mrs. Rivas 4-2 Draw . Use the triangle to answer the questions below. 11. What angle is included between and ? G M T

  11. Mrs. Rivas Would you use SSS or SAS to prove the triangles congruent? If there is not enough information to prove the triangles congruent by SSS or SAS, write not enough information. Explain your answer. 13. 12. Not enough information; two pairs of corresponding sides are congruent, but the congruent angle is not included. SAS;two pairs of corresponding sides and their included angle are congruent.

  12. Mrs. Rivas Would you use SSS or SAS to prove the triangles congruent? If there is not enough information to prove the triangles congruent by SSS or SAS, write not enough information. Explain your answer. 15. 14. SSS; three pairs of corresponding sides are congruent. Not enough information; two pairs of corresponding sides are congruent, but the congruent angle is not the included angle.

  13. Mrs. Rivas Would you use SSS or SAS to prove the triangles congruent? If there is not enough information to prove the triangles congruent by SSS or SAS, write not enough information. Explain your answer. 17. 16. SAS; two pairs of corresponding sides and their included right angle are congruent. SSS; three corresponding sides are congruent

  14. Mrs. Rivas Would you use SSS or SAS to prove the triangles congruent? If there is not enough information to prove the triangles congruent by SSS or SAS, write not enough information. Explain your answer. 19. 18. Not enough information; one pair of corresponding sides and corresponding angles are congruent, but the other pair of corresponding sides that form the included angle must also be congruent. SAS; two pairs of corresponding sides and their included vertical angles are congruent.

  15. Mrs. Rivas Would you use SSS or SAS to prove the triangles congruent? If there is not enough information to prove the triangles congruent by SSS or SAS, write not enough information. Explain your answer. 20. SSS or SAS; three pairs of corresponding sides are congruent, or, two pairs of corresponding sides and their included vertical angles are congruent.

  16. Mrs. Rivas 4-3 Name two triangles that are congruent by ASA. 21. 22.

  17. Mrs. Rivas 23. Developing Proof Complete the proof by filling in the blanks. Given: , and Prove: Proof: and are given. by _____. So, by _____.

  18. Mrs. Rivas 24. Given: , Prove: Proof: and are given. because vertical angles are . So, by AAS.

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