Question

triangles end-of-lesson test
5 an equilateral triangle has ____

• no equal angles
• all three sides the same length
• no sides equal in length
• two sides equal in length

Explanation:

To solve this, we recall the definition of an equilateral triangle. An equilateral triangle is defined as a triangle where all three sides are of equal length, and by the properties of triangles, this also means all three angles are equal (each 60 degrees). Let's analyze each option:

• "no equal angles": Incorrect, as all angles in an equilateral triangle are equal.
• "all three sides the same length": This matches the definition of an equilateral triangle.
• "no sides equal in length": This describes a scalene triangle, not equilateral.
• "two sides equal in length": This describes an isosceles triangle, not equilateral.

Answer:

The correct option is "all three sides the same length" (the second option in the list of choices for question 5).