Constructions

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.

• 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.

Suppose we wish to construct angle EFG congruent to angle DBC using a compass and straightedge. Which step would be correct to do first?

• Place the compass point at B

• Place the compass point at C

• Place the straightedge along A and C

• Place the straightedge along C and D

What kind of construction is displayed in this picture?

• A circle inscribed in a hexagon

• A hexagon inscribed in a circle

• A hexagon

• A circle

Which one is the correct construction for a perpendicular bisector?

• 1

• 2

• 3

• 4

What must be true?

• 1

• 2

• 3

• 4

Select the best answer choice.

• A

• B

• C

• D

To inscribe a square inside a circle, first you must draw a diameter anywhere across the circle. What should your next step be?

• Construct a perpendicular bisector

• Draw a second diameter to the circle

• Construct a line tangent to the circle

• Set your compass the length of the radius.

To inscribe a hexagon inside a circle, which length should you set your compass to?

• The radius

• The diameter

• Half of the radius

• It depends on the size of the circle

Which is the basis for the procedure used in the construction of a line parallel to a given line through a point not on the line?

• Corresponding Angles Theorem

• Alternate Exterior Angles Theorem

• Alternate Interior Angles Theorem

• Consecutive Interior Angles Theorem