Inscribed Polygon Construction

Front

A triangle with all sides in equal length is

Back

an equilateral triangle.

Front

Name the construction pictured: Inscribed circle about a nonagon, Inscribed hexagon, Inscribed circle about a triangle, Circumscribed obtuse triangle

Back

Inscribed circle about a triangle.

Front

What geometric construction is shown in the diagram below? Options: an angle bisector, a line parallel to a given line, an angle congruent to a given angle, a perpendicular bisector of a segment

Back

a perpendicular bisector of a segment.

Front

The steps shown are a part of the construction of which figure? Options: inscribed square, circumscribed rectangle, inscribed equilateral triangle, regular hexagon

Back

inscribed square.

Front

Given: angle A. What is the first step in constructing the angle bisector of angle A? Options: 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 the angle at points B and C.

Back

From point A, draw an arc that intersects the sides of the angle at points B and C.

Front

What is an inscribed polygon?

Back

A polygon whose vertices lie on a circle.

Front

What is the purpose of constructing an inscribed circle?

Back

To find the center of a polygon and ensure all vertices are equidistant from the center.

Front

Define a perpendicular bisector.

Back

A line that divides a segment into two equal parts at a 90-degree angle.

Front

What is the relationship between an inscribed angle and the arc it intercepts?

Back

The inscribed angle is half the measure of the intercepted arc.

Front

How do you construct a regular hexagon inscribed in a circle?

Back

Divide the circle into six equal arcs using a compass and straightedge.