Geometry: Recognizing Basic Constructions

Front

What is the purpose of a compass in geometry?

Back

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

Front

What is a bisector?

Back

A bisector is a line or segment that divides another line or angle into two equal parts.

Front

What does it mean for two lines to be parallel?

Back

Two lines are parallel if they are always the same distance apart and never intersect.

Front

What is the perpendicular bisector of a line segment?

Back

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

Front

Who is known as the Father of Geometry?

Back

Euclid is known as the Father of Geometry.

Front

What is the definition of congruent angles?

Back

Congruent angles are angles that have the same measure.

Front

What is the difference between similar and congruent figures?

Back

Similar figures have the same shape but may differ in size, while congruent figures are identical in shape and size.

Front

How do you construct a perpendicular line to a given line at a point on the line?

Back

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

Front

What is an angle?

Back

An angle is formed by two rays that share a common endpoint, called the vertex.

Front

What is the significance of Euclidean geometry?

Back

Euclidean geometry is the study of flat space and is based on the postulates and theorems established by Euclid.