Inscribed Polygon Construction

Name the pictured construction.

• Circled Hexagon

• Hexagon Inscribed in a Circle

• Square Inscribed in a Circle

• Triangle Inscribed in a Circle

Tags

CCSS.HSG.C.B.5

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

• inscribed square

• circumscribed rectangle

• inscribed equilateral triangle

• regular hexagon

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

Tags

CCSS.7.G.B.4

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.

Tags

CCSS.HSG.CO.C.9

Name the construction pictured

• Inscribed circle about a nonagon

• Inscribed hexagon

• Inscribed circle about a triangle

• Circumscribed obtuse triangle

Tags

CCSS.HSG.C.A.3

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.

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.

When constructing inscribed polygons and parallel lines, how are the steps similar?

• A protractor and ruler are used to take accurate measurements.

• A compass is used to draw arcs.

• Four right angles are created.

• There are no similarities.

When constructing inscribed polygons, how can you be sure the figure inscribed is a regular polygon?

• Check the distance between the angles with a straightedge.

• Check the length of each side of the polygon with a compass.

• See if the diameter is the same as the length of the sides with a compass.

• There is no way to ensure you have constructed a regular polygon.

What construction does the image demonstrate?

• The circumcenter of a regular hexagon

• The incenter of a regular hexagon

• A regular hexagon circumscribed about a circle

• A regular hexagon inscribed in a circle