Geometry Constructions

Front

What is a perpendicular bisector?

Back

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

Front

How do you construct a perpendicular bisector using a compass and straightedge?

Back

1. Place the compass point on one endpoint of the segment and draw an arc above and below the segment. 2. Without changing the compass width, repeat from the other endpoint. 3. Draw a line through the intersection points of the arcs.

Front

What is the purpose of an angle bisector?

Back

To divide an angle into two equal angles.

Front

How do you construct the bisector of a given angle?

Back

1. Place the compass point at the vertex of the angle and draw an arc that intersects both rays. 2. Label the intersection points. 3. From each intersection point, draw arcs that intersect each other. 4. Draw a line from the vertex to the intersection of the arcs.

Front

What is the radius of a circle?

Back

The distance from the center of the circle to any point on its circumference.

Front

What is the diameter of a circle?

Back

The distance across the circle through the center, equal to twice the radius.

Front

How do you inscribe a hexagon inside a circle?

Back

Set the compass to the radius of the circle and use that length to mark off six equal segments along the circumference.

Front

What is the difference between a segment bisector and a perpendicular bisector?

Back

A segment bisector divides a segment into two equal parts, while a perpendicular bisector does so at a right angle.

Front

What is the definition of congruent angles?

Back

Angles that have the same measure.

Front

What is the significance of constructing a circle inscribed in a polygon?

Back

It allows for the polygon to be perfectly contained within the circle, touching the circle at each vertex.