Geometry: Recognizing Basic Constructions

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 purpose of using a compass in geometric constructions?

Back

A compass is used to draw arcs and circles, and to measure distances between points.

Front

What does it mean to 'copy an angle' in geometry?

Back

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

Front

What is the angle bisector?

Back

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

Front

How do you construct a perpendicular line to a point not on the line?

Back

To construct a perpendicular line to a point not on the line, place the compass point on the given point, draw an arc that intersects the line, then use those intersection points to create a perpendicular 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 significance of the midpoint in segment constructions?

Back

The midpoint is the point that divides a segment into two equal lengths, crucial for constructions like perpendicular bisectors.

Front

What is the construction method for creating a parallel line to a point not on the line?

Back

To create a parallel line, use a straightedge to draw a line through the given point that maintains the same angle as the original line.

Front

What is the role of a straightedge in geometric constructions?

Back

A straightedge is used to draw straight lines and to connect points in geometric constructions.

Front

What is the definition of a transversal in geometry?

Back

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