Constructing Inscribed Poylgons Activity

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

To inscribe a square inside a circle, first you must draw a chord 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.

Which diagram shows a correct mathematical construction using only a compass and a straightedge to bisect an angle?

• 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

Given: angle A
What is the first step in constructing the angle bisector of angle A?

• Draw ray AD
• Draw a line segment connecting points B and C.
• From points B and C, draw equal arcs that intersect at D.
• From point A, draw an arc that intersects the sides of theangle at points B and C.

Which one is the correct construction for a perpendicular bisector?

• 1
• 2
• 3
• 4

Name the pictured construction.

• Circled Hexagon
• Hexagon Inscribed in a Circle
• Square Inscribed in a Circle
• Triangle Inscribed in a Circle

Connecting every other point where the arcs intersect the circle will finish the construction of what polygon?

• equilateral triangle

• square

• hexagon

• rectangle

The steps shown are a part of the construction of which figure?

• inscribed square

• circumscribed rectangle

• inscribed equilateral triangle

• regular hexagon

A triangle with all sides in equal length is 

• an obtuse triangle. 
• a right triangle.
• an isosceles triangle.
• an equilateral triangle.