QQ#7 Segment Constructions

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

What does the word BISECT mean?

• To cut something into more than five pieces.

• It is a plane with two sets of wings.

• A shape that has three sides.

• To cut something into two congruent pieces or in half.

Which one is the correct construction for a perpendicular bisector?

• 1
• 2
• 3
• 4

Suppose we wish to construct a perpendicular bisector of line segment EF. We can correctly begin by placing the compass point on E and marking off the distance to which point?

• A
• B
• C
• D

Line segment AB is shown in the diagram. Which two sets of construction marks, labeled I, II , III, and IV,are part of the construction of the perpendicular bisector of line segment AB?

• I and II
• I and III
• II and III
• II and IV

Based on the construction, which conclusion is not always true?

• A
• B
• C
• D

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.

What is being constructed?

• A congruent segment
• Parallel Lines
• Perpendicular Bisector
• Angle Bisector

What construction is shown?

• A median

• A perpendicular bisector

• A copy of a line segment

• A midsegment

In a line segment AB = 5.6 cm and its perpendicular bisector. Measure the length of each part.

• 2.7 cm

• 2.8 cm

• 2.9 cm

• 2.6 cm