Geometric 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

What does it mean for two lines to be parallel?

Back

Two lines are parallel if they are in the same plane and do not intersect, no matter how far they are extended.

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 a perpendicular bisector?

Back

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

Front

What is the definition of congruent angles?

Back

Congruent angles are angles that have the same measure.

Front

What is the purpose of constructing an angle bisector?

Back

The purpose of constructing an angle bisector is to create two angles that are equal in measure.

Front

What is the definition of a midpoint?

Back

The midpoint of a line segment is the point that divides the segment into two equal lengths.

Front

What is an altitude in geometry?

Back

An altitude is a perpendicular segment from a vertex to the line containing the opposite side.

Front

What is the construction of a parallel line to a point not on the line?

Back

To construct a parallel line to a point not on a given line, use a compass and straightedge to create a line that never intersects the original line.

Front

What is the significance of corresponding angles?

Back

Corresponding angles are formed when a transversal crosses two parallel lines; they are equal in measure.