Basic Geometry & Constructions

Front

What is the purpose of a compass in geometric constructions?

Back

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

Front

What is the purpose of a straightedge in geometric constructions?

Back

A straightedge is used to draw straight lines and to extend lines.

Front

What is an angle bisector?

Back

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

Front

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

Back

To construct a parallel line to a point not on the line, use a compass to create equal arcs from the point and the line, then connect the intersection points.

Front

What does it mean for angles to be congruent?

Back

Congruent angles are angles that have the same measure.

Front

What is the construction for creating a perpendicular line to a given line through a point on that line?

Back

To construct a perpendicular line, use a compass to create arcs from the point on the line, then connect the intersection points to form a right angle.

Front

What is the significance of geometric constructions in mathematics?

Back

Geometric constructions help in understanding the properties of shapes and the relationships between different geometric figures.

Front

What tools are commonly used in basic geometric constructions?

Back

The common tools are a compass, a straightedge, and sometimes a protractor.

Front

What is the definition of a line segment?

Back

A line segment is a part of a line that is bounded by two distinct endpoints.

Front

What is the difference between a line and a line segment?

Back

A line extends infinitely in both directions, while a line segment has two endpoints.