Basic Constructions in Geometry

Which one is the correct construction for a perpendicular bisector?

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• 2

• 3

• 4

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.

What must be true?

• 1

• 2

• 3

• 4

• 1
• 2
• 3
• 4

Select the best answer choice.

• A
• B
• C
• D

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.

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.

The picture represents a compass and straightedge construction of _________?

• Copy an angle
• Bisect an angle
• Copy a line segment
• Bisect a line segment

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

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.