Constructions Geometry

Which of the following constructions is illustrated?

• An angle is congruent to a given angle

• The bisector of a given angle

• The bisector of a given segment

• The perpendicular bisector of a given segment.

Nate is constructing angle bisector to angle ABC.  Where did he position his compass to create the two arcs that intersect at the interior of the angle?

• He fixed his compass on B and drew both arcs.

• He fixed his compass on points A and C.

• He fixed his compass on points D and E.

• He fixed his compass on points B and E.

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.

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

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

Which one is the correct construction for a perpendicular bisector?

• 1

• 2

• 3

• 4

What geometric construction is shown in the diagram below?

• an angle bisector

• a line parallel to a given line

• an angle congruent to a given angle

• a perpendicular bisector of a segment

• A

• B

• C

• D

What geometric construction is shown in the diagram below?

• an angle bisector

• a line parallel to a given line

• an angle congruent to a given angle

• a perpendicular bisector of a segment

What type of construction is illustrated in the figure?

• The bisection of ∠D

• The bisection of segment BD

• An angle congruent to ∠D

• A line segment congruent to segment AB

Which type of construction can be accomplished by using the method shown?

• congruent segment

• segment bisector

• congruent angle

• parallel line

What must be true?

• 1

• 2

• 3

• 4