Question

What are the steps for using a compass and straightedge to construct an equilateral triangle?

Answer 1

Answer:

The correct order of given statements is

→ Construct $\overline {UV}$.

→ Construct a circle with point U as the center and a circle with point V as the center with each circle having radius UV.

→ Construct a point at one of the two intersection points of the circle U and circle V ad label this point W.

→ Construct $\overline {UW}$ and $\overline {VW}$.

Step-by-step explanation:

Steps to construct an equilateral triangle are

1. Make a line segment.

2. Using compass, draw circles with the end points as the center and each circle has same radius which is equal to the length of the segment.

3. Choose one of the two intersection points of both circles.

4. Then draw the line segments which are connecting the end points with the intersection point.