Geometry Constructions Equilateral Triangle and Hexagon

Which of the following constructions is illustrated?

• An angle is congruent to a given angle

• The bisector of a given angle

• equilateral triangle

• The perpendicular bisector of a given 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

By using a compass, D and G were marked equidistant from Vertex E. The compass was then used to locate point F, distant from E, so that F is equidistant from D and G. For all constructions defined by the above steps, the measures of DEF and GEF

• are equal

• are NOT equal

• sum to 45°

• sum to 30°

What construction is this?

• Perpendicular Bisector of a Segment

• Equilateral Triangle

• Angle Bisector

• Regular Hexagon

What construction is this?

• Perpendicular Bisector of a Segment

• Equilateral Triangle

• Angle Bisector

• Regular Hexagon

How is the construction for inscribing an equilateral triangle done?

• Exactly the same as the inscribed hexagon construction.

• Mostly the same as the inscribed hexagon construction, except you connect every other mark on the circle.

• Using the perpendicular bisector construction on a diameter of the circle.

This image represents which of the following constructions?

• Inscribing a regular hexagon in a circle

• Inscribing an equilateral triangle in a circle

• Inscribing a regular pentagon in a circle

• Circumscribing a circle around a regular hexagon

How is the construction for inscribing an equilateral triangle done?

• Exactly the same as the inscribed hexagon construction.

• Mostly the same as the inscribed hexagon construction, except you connect every other mark on the circle.

• Using the perpendicular bisector construction on a diameter of the circle.

Name the pictured construction.

• Circled Hexagon

• Hexagon Inscribed in a Circle

• Square Inscribed in a Circle

• Triangle Inscribed in a Circle