Geometric Constructions

Front

What is a perpendicular bisector?

Back

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

Front

What is an angle bisector?

Back

An angle bisector is a line that divides an angle into two equal angles.

Front

How do you construct a perpendicular line to a point on a line?

Back

To construct a perpendicular line to a point on a line, use a compass to draw arcs from the point, then use the intersection points to draw a line through the original point.

Front

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

Back

To construct a parallel line to a point not on a line, use a straightedge to draw a line through the point that maintains the same angle as the given line.

Front

What is the definition of corresponding angles?

Back

Corresponding angles are angles that are in the same position on two parallel lines cut by a transversal.

Front

What is the definition of a midpoint?

Back

A midpoint is the point that divides a line segment into two equal parts.

Front

What is the construction for the bisector of a given segment?

Back

To construct the bisector of a given segment, draw arcs from both endpoints of the segment, then connect the intersection points of the arcs.

Front

What is the construction for the altitude of a triangle?

Back

To construct the altitude of a triangle, draw a perpendicular line 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 parts at a right angle.

Front

What is the purpose of using a straightedge and compass in geometric constructions?

Back

A straightedge and compass are used to create precise geometric figures and constructions without measuring tools.