CK-12 Geometry-Concepts

(Marvins-Underground-K-12) #1

4.3. Congruent Triangles http://www.ck12.org


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



  1. Both triangles are right triangles in which one angle measures 55◦. All of their corresponding sides are
    congruent.

  2. Both triangles are equiangular triangles.

  3. Both triangles are equilateral triangles. All sides are 5 inches in length.

  4. Both triangles are obtuse triangles in which one angle measures 35◦. Two of their corresponding sides are
    congruent.

  5. Both triangles are obtuse triangles in which two of their angles measure 40◦and 20◦. All of their corresponding
    sides are congruent.

  6. Both triangles are isosceles triangles in which one angle measures 15◦.

  7. Both triangles are isosceles triangles with two equal angles of 55◦. All corresponding sides are congruent.

  8. Both triangles are acute triangles in which two of their angles measure 40◦and 80◦. All of their corresponding
    sides are congruent.

  9. Both triangles are acute triangles in which one angle measures 60◦. Two of their corresponding sides are
    congruent.

  10. Both triangles are equilateral triangles.

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