Geometric Constructions

Front

What is the purpose of an angle bisector in geometric constructions?

Back

An angle bisector divides an angle into two equal parts.

Front

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

Back

Use a straightedge and compass to create a transversal that intersects the given line, then use the corresponding angles to draw the parallel line.

Front

What is a congruent segment in geometric constructions?

Back

A congruent segment is a line segment that has the same length as another segment.

Front

What is the definition of a perpendicular bisector?

Back

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

Front

What is the significance of corresponding angles in parallel lines?

Back

Corresponding angles are equal when a transversal intersects two parallel lines.

Front

What tools are commonly used in geometric constructions?

Back

A straightedge and a compass are the primary tools used in geometric constructions.

Front

What does it mean to copy an angle in geometric constructions?

Back

Copying an angle involves creating an angle that is congruent to a given angle using a compass and straightedge.

Front

What is the process to construct a perpendicular line to a point on a line?

Back

Draw a circle centered at the point, then draw two intersecting lines from the circle's intersections to create a perpendicular line.

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 perpendicular bisector of a segment?

Back

Draw arcs from both endpoints of the segment with the same radius, then connect the intersection points of the arcs.