Use a straightedge and a compass to construct a triangle with sides of equal length (an equilateral triangle) by doing the following:

(a) Use the straightedge to draw a line segment of any length and label the end points A and B (Fig. a).

(b) Place one end of the compass at point A and the other end at point Band draw an arc as shown (Fig. b).

(c) Now turn the compass around and draw another arc as shown. Label the point of intersection of the two arcs C (Fig. c).

(d) Draw line segments AC and BC. This completes the construction of equilateral triangle ABC (Fig. d).

Figure a:

Figure b:

Figure c:

Figure d:

Transcribed Image Text:

A• B Figure a