Understanding Congruence in Geometry

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Questions and Answers

If two triangles have the same side lengths but different angle measures, can they be considered congruent?

  • Yes, as long as the sum of their angles is 180 degrees
  • No, congruence only applies to polygons with four or more sides
  • Yes, because they have the same side lengths
  • No, they must have the same side lengths _and_ angle measures to be congruent (correct)

What is the minimum number of corresponding parts (sides or angles) that must be congruent for two triangles to be considered congruent?

  • 3 sides or 3 angles
  • All 3 sides and all 3 angles (correct)
  • 2 sides and 1 angle
  • 1 side and 2 angles

If two triangles are congruent, which of the following statements is not necessarily true?

  • Their sides are parallel to each other (correct)
  • Their angles are supplementary to each other
  • They have the same perimeter
  • They have the same area

If triangle ABC ≅ triangle DEF, which of the following pairs of angles are congruent?

<p>All of the above (D)</p> Signup and view all the answers

If two right triangles have one leg of length 5 units and one of 12 units, are they necessarily congruent?

<p>No, because the third side lengths could be different (D)</p> Signup and view all the answers

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