California Assessment of Student Performance and Progress (CAASPP) Math Practice Exam

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What type of triangle can have no congruent sides?

  1. Scalene Triangle

  2. Right Triangle

  3. Isosceles Triangle

  4. Equilateral Triangle

The correct answer is: Scalene Triangle

A triangle can have no congruent sides if it is classified as a scalene triangle. In a scalene triangle, all three sides are of different lengths, which means there are no sides that are equal in length. This characteristic distinguishes scalene triangles from the other types of triangles. In contrast, right triangles can have congruent sides but are primarily defined by having one angle measuring 90 degrees. Isosceles triangles have at least two sides that are congruent, while equilateral triangles have all three sides equal. Thus, the unique property of having no congruent sides is exclusively associated with scalene triangles.