Constructions

Front

What is an angle bisector?

Back

An angle bisector is a line or ray that divides an angle into two equal parts.

Front

How do you construct a perpendicular bisector?

Back

To construct a perpendicular bisector, you need to find the midpoint of a line segment and draw a line that is perpendicular to the segment at that midpoint.

Front

What is the process to copy an angle?

Back

To copy an angle, place the vertex of the angle at a point, then use a compass to replicate the angle's arms.

Front

What is the definition of a parallel line?

Back

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

Front

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

Back

To construct a perpendicular line through a point not on the line, use a compass to create arcs from both the line and the point, then connect the intersection points.

Front

What is the significance of the midpoint in constructions?

Back

The midpoint is crucial in constructions like perpendicular bisectors, as it helps ensure that the two segments created are equal in length.

Front

What tools are commonly used in geometric constructions?

Back

Common tools include a compass, straightedge (ruler), and protractor.

Front

What is the difference between a segment and a line?

Back

A segment has two endpoints and a finite length, while a line extends infinitely in both directions.

Front

What does it mean to bisect a segment?

Back

To bisect a segment means to divide it into two equal parts.

Front

How can you verify if two lines are parallel?

Back

Two lines are parallel if they have the same slope or if they are both perpendicular to a third line.