Step 1: Copy a segment and an angle. Which step in the construction of copying a line segment ensures that the new line segment has the same length as the original line segment? Explain how you could use the construction tool or a compass and straightedge to create a line segment that is twice as long as ("AB" ). The construction of copying "QPR" is started below. The next step is to set the width of the compass to the length of ("AB" ). How does this step ensure that the new angle will be congruent to the original angle? How is copying a line segment similar to copying an angle? Step 2: Construct a perpendicular line. In the step shown of the construction of a line through a point that is perpendicular to the given line, why must the compass point be placed on points A and B? How would the construction be different if the compass point were placed at random points on the original line?

Step 3: Construct an angle and a perpendicular bisector. The construction of creating the perpendicular bisector of ("PQ" ) is started below. How would the construction be different if you changed the compass setting in the next step of the perpendicular bisector construction?