Constructions Lesson

Constructions!

Multiple Choice

When copying line segment AB using a straight edge and a compass, the compass should be used to:

• Draw an arc above point A
• Measure the length of segment AB
• Draw an arc between point A and point B
• Measure half the length of line segment AB

Multiple Choice

Name the construction.

• Angle bisector
• Perpendicular line to a point not on a line
• Angle median
• Perpendicular bisector of a line segment

Multiple Choice

Eric was attempting to construct a perpendicular bisector to the segment AB with a compass and straight edge. Which of the below statements explains what Eric may have done wrong?

• Eric should have started by putting the compass needle point at the midpoint of the segment AB.

• On the second step, Eric should have placed the compass needle point where the first arc intersected the segment AB.

• Erick just needed to open the compass more to create arcs that have a radius of more than half the length of the segment AB.

• Erick didn’t do anything wrong he just needs to connect the opposite endpoints of each arc to finish the construction.

Multiple Choice

• The arc in step 1 was incorrectly constructed because it needs to intersect all sides of the triangle and not just AB and AC.

• The arcs in step 1 and step 2 were incorrectly constructed because they need to have the same radii.

• Step 2 is incorrect and should have been, using the same compass setting, to draw two arcs centered at points P and Q and labeling their intersection as R.