Geometry Basic Constructions

Front

What is the definition of a geometric construction?

Back

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

Front

What is the Corresponding Angles Theorem?

Back

The Corresponding Angles Theorem states that when a transversal crosses two parallel lines, each pair of corresponding angles is equal.

Front

What is the purpose of constructing a perpendicular bisector?

Back

The purpose of constructing a perpendicular bisector is to find the midpoint of a segment and create a line that is perpendicular to that segment.

Front

What tools are typically used in geometric constructions?

Back

The tools typically used are a compass and a straightedge.

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

How do you construct a line parallel to a given line through a point not on the line?

Back

To construct a parallel line, use a compass to copy the angle formed by the transversal and the given line at the point not on the line.

Front

What is the definition of a bisector?

Back

A bisector is a line, ray, or segment that divides another segment or angle into two equal parts.

Front

What is the Alternate Interior Angles Theorem?

Back

The Alternate Interior Angles Theorem states that when a transversal crosses two parallel lines, each pair of alternate interior angles is equal.

Front

What is the definition of a transversal?

Back

A transversal is a line that intersects two or more lines at different points.

Front

What is the process of copying an angle?

Back

To copy an angle, you use a compass to measure the angle's width and then recreate that width at a new location.