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Congruent Triangles

CPCTC. Isosceles/ Equilateral Triangles. Isosceles/ Equilateral Triangles. HL. Congruent Triangles. 10. 10. 10. 10. 10. 20. 20. 20. 20. 20. 30. 30. 30. 40. 40. 50. Congruent Triangles. Prove. Given: and Prove:. Given: Prove:.

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Congruent Triangles

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  1. CPCTC Isosceles/ Equilateral Triangles Isosceles/ Equilateral Triangles HL Congruent Triangles 10 10 10 10 10 20 20 20 20 20 30 30 30 40 40 50 Congruent Triangles

  2. Prove. Given: and Prove:

  3. Given: Prove:

  4. Explain how you can use SSS, SAS, ASA, or AAS with CPCTC to prove that

  5. Explain how you can use SSS, SAS, ASA, or AAS with CPCTC to complete a proof. Given: Prove:

  6. Find the values of x and y.

  7. What is the measure of a base angle of an isosceles triangle if the vertex angle measures 38° and the two congruent sides each measure 21 units?

  8. What is the measure of the vertex angle of an isosceles triangle if one of its base angles measures 42°?

  9. Use the information in the figure. Find

  10. Find the value of x. The diagram is not to scale.

  11. Find the value of x. The diagram is not to scale. Given:

  12. The sides of an isosceles triangle have lengths , . The base has length . What is the length of the base?

  13. For which situation could you prove using the HL Theorem?

  14. What additional information will allow you to prove the triangles congruent by the HL Theorem?

  15. Is by HL? If so, name the legs that allow the use of HL.

  16. Is there enough information to conclude that the two triangles are congruent? If so, what is a correct congruence statement?

  17. Complete the statement . Explain why it is true.

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