Geometric 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

Name the construction.

• Angle bisector

• Perpendicular line to a point not on a line

• Perpendicular line to a point on the line

• Perpendicular bisector of a line segment

Name the construction.

• Angle bisector

• Perpendicular line to a point not on a line

• Angle median

• Perpendicular bisector of a line segment

Select the best answer choice.

• F

• G

• H

• J

What is this?

• Compass

• Circle creator

• Pencil swingy-thing

• Arc maker

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.

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

Select the best answer choice.

• A

• B

• C

• D

What does this symbol mean?

≅

• not equal

• congruent

• equal

• half