CK-12 Geometry Concepts

(Elliott) #1

4.9. HL Triangle Congruence http://www.ck12.org


TABLE4.17:(continued)


Statement Reason


  1. (6.) Given
    4.∆ACD∼=∆DCE (7.)


Based on the following details, are the two right triangles definitively congruent?



  1. The hypotenuses of two right triangles are congruent.

  2. Both sets of legs in the two right triangles are congruent.

  3. One set of legs are congruent in the two right triangles.

  4. The hypotenuses and one pair of legs are congruent in the two right triangles.

  5. One of the non right angles of the two right triangles is congruent.

  6. All of the angles of the two right triangles are congruent.

  7. All of the sides of the two right triangles are congruent.

  8. Both triangles have one leg that is twice the length of the other.

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