Exploring Inscribed Polygons in Geometric Construction

What is an inscribed polygon?

• A polygon that is outside a circle

• A polygon that is inside a square

• A polygon whose vertices are points of a circle

• A polygon whose sides are tangent to a circle

What is the first step in constructing an inscribed square?

• Drawing the radius

• Drawing a chord

• Drawing the diameter

• Drawing a tangent

Why do the diagonals of a square help in its construction?

• They are equal in length

• They are parallel

• They are perpendicular and bisect each other

• They form right angles with the sides

How is an inscribed octagon related to an inscribed square?

• It has half the number of vertices

• It has triple the number of vertices

• It has double the number of vertices

• It has the same number of vertices

What is the key step in constructing an inscribed regular octagon?

• Bisecting the angles of a square

• Drawing a tangent

• Drawing the diameter

• Drawing the radius

What is the first step in constructing an inscribed regular hexagon?

• Drawing the radius

• Drawing the diameter

• Drawing a tangent

• Drawing a chord

Why are the points on the circle equidistant in a regular hexagon?

• Because they are chords of the same length

• Because they are diameters

• Because they are radii of the same circle

• Because they are tangents

How do you construct an inscribed equilateral triangle?

• By drawing three radii

• By skipping every other vertex of a hexagon

• By drawing three tangents

• By drawing three chords

What is the interior angle of an equilateral triangle?

• 30 degrees

• 60 degrees

• 90 degrees

• 120 degrees

How is a regular dodecagon related to a regular hexagon?

• It has triple the number of sides

• It has half the number of sides

• It has double the number of sides

• It has the same number of sides