Circles, Inscribed, and Composite Shapes

Name the pictured construction.

• Circled Hexagon

• Hexagon Inscribed in a Circle

• Square Inscribed in a Circle

• Triangle Inscribed in a Circle

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.

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

Name the construction pictured

• Inscribed circle about a nonagon

• Inscribed hexagon

• Inscribed circle about a triangle

• Circumscribed obtuse triangle

Name the construction pictured

• Circumscribed Pentagon

• Inscribed Square

• Circumscribed Triangle

• Inscribed Equilateral Triangle

Quadrilateral ABCD is inscribed in the circle. Which sentence is true?

• A and B are supplementary

• A and C are supplementary

• m∠ A = m∠ B

• m∠ C = m∠ D

Find the value of x

• 100

• 105

• 95

• 90

Given the following inscribed quadrilateral, what are the values of x and y?

• x = 70; y = 120

• x = 30; y = 20

• x = 20; y = 30

• x = 70; y = 40