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Understanding Triangle Congruence: Proving Statements and Finding Missing Values

This resource guides you through the process of completing various triangle congruence statements and determining unknown values within triangles. From exploring sides and angles to identifying missing elements necessary for congruence, it covers the congruence criteria: SSS, SAS, ASA, and AAS. You'll learn how to find the values of variables in congruent triangles as well as how to prove these triangles are congruent step-by-step. Engage with relatable examples and exercises for a comprehensive understanding of triangle congruence.

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Understanding Triangle Congruence: Proving Statements and Finding Missing Values

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  1. Complete each congruence statement. B DEF A C D F E

  2. Complete each congruence statement. B A ECD C E D

  3. Complete each congruence statement. T G K H

  4. Find the value of x and y if GFH  IJK. G J (2y - 9) (4x + 8) K 100 F x =23 y = 27 45 I H

  5. R S Y X T Z How would you prove these triangles are congruent? SSS

  6. How would you prove these triangles are congruent? P R Q S SAS

  7. R B C A T S How would you prove these triangles are congruent? BAD WORD! not enough info

  8. How would you prove these triangles are congruent? ASA

  9. D L M F N E What other angles need to be congruent so that the two triangles are congruent by AAS?

  10. D L M F N E What other pair of angles needs to be marked so that the two triangles are congruent by ASA?

  11. E A C B D What other pair of angles needs to be marked so that the two triangles are congruent by SSS?

  12. J T L K V U What other pair of angles needs to be marked so that the two triangles are congruent by SAS?

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