Constructions

Front

What is a compass used for in constructions?

Back

A compass is a tool used to draw arcs and circles, and to measure distances.

Front

Define angle bisector.

Back

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

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 does it mean to duplicate a line segment?

Back

To duplicate a line segment means to create a new line segment that is equal in length to the original.

Front

What is the purpose of constructing congruent angles?

Back

The purpose is to create angles that have the same measure, which is useful in various geometric constructions.

Front

What is the definition of a ray in geometry?

Back

A ray is a part of a line that starts at a point and extends infinitely in one direction.

Front

Explain the concept of a midpoint in a line segment.

Back

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

Front

What is the significance of constructing perpendicular lines?

Back

Perpendicular lines intersect at a right angle (90 degrees), which is fundamental in various geometric constructions.

Front

How do you construct an angle bisector using a compass and straightedge?

Back

1. Draw the angle. 2. Place the compass point on the angle's vertex and draw an arc that intersects both rays. 3. Without changing the compass width, draw arcs from the intersection points. 4. Draw a line from the vertex to the intersection of the arcs.

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.