Bob draws a line segment PQ. He sets the width of a compass to the length of segment PQ and without changing the width, draws an arc from P and an arc from Q that intersect at a point R. What triangle did Bob construct?

An equilateral triangle because all the sides are congruent.

An isosceles triangle because all the sides are of different lengths.

A scalene triangle because all the sides are of different lengths.

An isosceles triangle because exactly two sides are congruent.

Question

Bob draws a line segment PQ. He sets the width of a compass to the length of segment PQ and without changing the width, draws an arc from P and an arc from Q that intersect at a point R. What triangle did Bob construct?
 
An equilateral triangle because all the sides are congruent. 

An isosceles triangle because all the sides are of different lengths. 

A scalene triangle because all the sides are of different lengths. 

An isosceles triangle because exactly two sides are congruent.

campbell_st · Answer

the arcs have the same radius of PQ... so that means all sides will have the same length. 

that should be enough to help you.

anonymous · Answer

thanks