Question

Kate is constructing an equilateral triangle. She has already used her straightedge to construct the line segment shown. A line segment with endpoints labeled as A and B. What should Kate do for her next step? Place the point of the compass on point A and draw an arc, using AB as the width for the opening of the compass. Use the straightedge to draw a line that passes through point A. Place the point of the compass on point A and draw an arc, using a width for the opening of the compass that is less than 12AB. Use the straightedge to draw another line segment that does not intersect AB¯¯¯¯¯.

Answer 1

Given that Kate is constructing an equilateral triangle and she has already used her straightedge to construct a line segment AB.

What Kate should do for her next step is "Place the point of the compass on point A and draw an arc, using AB as the width for the opening of the compass".