Geometric Foundations and Constructions

Front

What is a geometric construction?

Back

A geometric construction is a method of creating geometric figures using only a compass and a straightedge.

Front

What is a point in geometry?

Back

A point has no dimension and is represented by a dot.

Front

What is a line segment?

Back

A line segment is a part of a line that has two endpoints.

Front

What is a line in geometry?

Back

A line is a straight one-dimensional figure that extends infinitely in both directions.

Front

What is a plane in geometry?

Back

A plane is a flat two-dimensional surface that extends infinitely in all directions.

Front

What does it mean to bisect an angle?

Back

To bisect an angle means to divide it into two equal angles.

Front

What is the purpose of 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

How do you copy a line segment using a compass and straightedge?

Back

1. Measure the length of the segment with the compass. 2. Place the compass point on the new point and draw an arc. 3. Mark the intersection to create the new segment.

Front

What is the difference between parallel lines and perpendicular lines?

Back

Parallel lines never intersect and are always the same distance apart, while perpendicular lines intersect at a 90-degree angle.

Front

What is the definition of a geometric angle?

Back

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