Geometry Constructions Flashcard

Front

What is an angle bisector?

Back

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

Front

How do you construct an angle bisector using a compass?

Back

1. Place the compass point on the vertex of the angle. 2. Draw an arc that intersects both sides of the angle. 3. Label the intersection points. 4. Without changing the compass width, draw arcs from each intersection point. 5. Draw a line from the vertex to the intersection of the arcs.

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

How do you construct a perpendicular bisector?

Back

1. Place the compass point on one endpoint of the segment. 2. Draw an arc above and below the segment. 3. Repeat from the other endpoint. 4. Label the intersection points of the arcs. 5. Draw a line through the intersection points.

Front

What is the purpose of a compass in constructions?

Back

A compass is used to draw arcs and circles, and to measure distances in geometric constructions.

Front

What is a line segment?

Back

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

Front

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

Back

A ray has one endpoint and extends infinitely in one direction, while a line segment has two endpoints.

Front

What is the definition of a midpoint?

Back

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

Front

How do you find the midpoint of a line segment?

Back

To find the midpoint, measure the length of the segment and divide it by two, then mark that point.

Front

What is the significance of constructing geometric figures accurately?

Back

Accurate constructions are essential for solving geometric problems and proofs.