Geometric Constructions

Front

What is a line segment?

Back

A line segment is a part of a line that is bounded by two distinct endpoints.

Front

What is a perpendicular line?

Back

A perpendicular line is a line that intersects another line at a right angle (90 degrees).

Front

What is the purpose of constructing a perpendicular bisector?

Back

The purpose is to divide a line segment into two equal parts at a right angle.

Front

What is an angle bisector?

Back

An angle bisector is a line that divides an angle into two equal angles.

Front

How do you construct a perpendicular line to a point not on the line?

Back

To construct a perpendicular line to a point not on the line, use a compass to draw arcs from the point and intersect them with the line, then connect the point to the intersection.

Front

What is the definition of parallel lines?

Back

Parallel lines are lines in a plane that never meet and are always the same distance apart.

Front

What is the construction of a square?

Back

To construct a square, draw a line segment, then use a compass to create right angles at each endpoint and equal lengths for the other sides.

Front

What is the significance of corresponding angles in parallel lines?

Back

Corresponding angles are equal when a transversal crosses parallel lines, which helps in proving lines are parallel.

Front

What is the method to construct a parallel line to a point on a line?

Back

To construct a parallel line to a point on a line, use a straightedge and a compass to replicate the distance from the point to the line.

Front

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

Back

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