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.

Tags

CCSS.HSG.CO.C.9

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.

Tags

CCSS.HSG.CO.C.9

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

Tags

CCSS.HSG.CO.C.9

• 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

Tags

CCSS.HSG.CO.C.9

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

Tags

CCSS.HSG.CO.C.9

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

Tags

CCSS.HSG.CO.C.9