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.

anonymous · Answer

First one is the answer.. But if you don't know the answer.. you better start drawing it out.. this will help you learn better.. and understand the material..