Geometric Constructions

Front

What is a geometric construction?

Back

A geometric construction is a method of creating geometric figures using only a compass and a straightedge.

Front

What is the purpose of an angle bisector?

Back

An angle bisector divides an angle into two equal parts.

Front

How do you construct a perpendicular bisector of a line segment?

Back

To construct a perpendicular bisector, draw two arcs of equal radius from each endpoint of the segment, then connect the intersection points of the arcs.

Front

What is the definition of a congruent segment?

Back

Congruent segments are line segments that have the same length.

Front

What is the difference between an angle bisector and a perpendicular bisector?

Back

An angle bisector divides an angle into two equal angles, while a perpendicular bisector divides a line segment into two equal parts at a right angle.

Front

What tools are used in geometric constructions?

Back

The primary tools used are a compass and a straightedge.

Front

What is the first step in constructing an angle bisector?

Back

The first step is to draw an arc that intersects both sides of the angle.

Front

What does it mean to construct parallel lines?

Back

Constructing parallel lines means creating two lines that never intersect and are equidistant from each other.

Front

What is the significance of using only a compass and straightedge in constructions?

Back

Using only a compass and straightedge ensures that constructions are precise and based on fundamental geometric principles.

Front

What is the process to construct a perpendicular line to a point not on a line?

Back

To construct a perpendicular line to a point not on a line, draw a circle centered at the point, then draw two arcs from the intersections with the line and connect the points.