Question

this diagram is a straightedge and compass construction.
which triangle is equilateral?
a triangle vwz is equilateral.
b triangle stu is equilateral.

Explanation:

In a straightedge and compass construction, an equilateral triangle has all sides equal. For triangle \( VWZ \), since the circles are constructed with equal radii (as it's a compass construction), the distances between \( V \), \( W \), and \( Z \) (each being radii of the circles) are equal. For triangle \( STU \), the lengths of its sides are not all equal (visually, or by the construction logic, as the radii involved for \( ST \), \( TU \), and \( SU \) don't appear equal). So triangle \( VWZ \) is equilateral.

Answer:

A. Triangle \( VWZ \) is equilateral.