Geometric Constructions

Front

What is a compass?

Back

A tool used in geometric constructions to draw arcs and circles, and to measure distances.

Front

What is the purpose of measuring the length of a line segment with a compass?

Back

To accurately replicate the length of the segment in a construction.

Front

What is a perpendicular bisector?

Back

A line that divides a line segment into two equal parts at a right angle.

Front

What is the construction of a congruent segment?

Back

Using a compass to replicate the length of a given segment to create an identical segment.

Front

What is an angle bisector?

Back

A line that divides an angle into two equal angles.

Front

What is the purpose of constructing parallel lines?

Back

To create lines that never intersect and are equidistant from each other.

Front

How do you construct a perpendicular line to a point on a line?

Back

Use a compass to draw arcs from the point, then connect the intersection points to form a right angle.

Front

What is the significance of geometric constructions?

Back

They provide a method for creating precise figures and relationships in geometry.

Front

What tools are commonly used in geometric constructions?

Back

Compass, straightedge (ruler), and pencil.

Front

What is the difference between a line segment and a ray?

Back

A line segment has two endpoints, while a ray has one endpoint and extends infinitely in one direction.