Geometric Constructions

Front

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

Back

A construction that creates a line parallel to a given line through a specified point that does not lie on the line.

Front

What is an angle bisector?

Back

A line that divides an angle into two equal parts.

Front

What is a perpendicular bisector of a line segment?

Back

A line that divides a line segment into two equal parts at a 90-degree angle.

Front

What is the purpose of constructing a perpendicular line to a point on a line?

Back

To create a line that intersects the given line at a right angle through the specified point.

Front

What does it mean to construct the bisector of a given angle?

Back

To draw a line that divides the angle into two equal angles.

Front

What is the definition of a midpoint in geometric constructions?

Back

The point that divides a line segment into two equal lengths.

Front

How do you construct a perpendicular bisector of a segment?

Back

By finding the midpoint of the segment and drawing a line perpendicular to the segment at that midpoint.

Front

What is the significance of corresponding angles in geometric constructions?

Back

They are angles that are in the same position on different parallel lines cut by a transversal, and they are equal.

Front

What is the construction of an altitude in a triangle?

Back

A perpendicular line drawn from a vertex to the opposite side.

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 segments at a right angle.