Question

question 17 of 25

which of these tools or constructions is needed to construct an equilateral triangle?

a. parallel line through a point
b. angle bisector
c. compass
d. perpendicular bisector

Explanation:

Analyze the construction of an equilateral triangle

To construct an equilateral triangle using classical geometric methods, we start with a given line segment. We then use a compass to draw two intersecting circles (or arcs) centered at each endpoint of the segment, with the radius equal to the length of the segment.

Identify the required tool

The intersection of these two arcs determines the third vertex of the equilateral triangle. Therefore, a compass is the essential tool needed to carry out this construction.

Answer:

• A. parallel line through a point
• B. angle bisector
• C. compass (Correct answer)
• D. perpendicular bisector