Geometry Constructions

Front

What is a perpendicular bisector?

Back

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

Front

What is an angle bisector?

Back

An angle bisector is a ray that divides an angle into two equal angles.

Front

How do you construct a perpendicular bisector of a line segment?

Back

1. Place the compass point on one endpoint and draw an arc above and below the line. 2. Without changing the compass width, repeat from the other endpoint. 3. Draw a line through the intersection points of the arcs.

Front

What is the purpose of constructing an angle congruent to a given angle?

Back

To create an angle that has the same measure as the original angle, often used in geometric proofs and constructions.

Front

What are the steps to copy an angle using a compass?

Back

1. Draw two arcs from the vertex of the original angle. 2. Mark the intersection points. 3. Draw two arcs from the vertex of the new angle with the same radius. 4. Connect the intersection points to form the copied angle.

Front

What is the difference between copying an angle and bisecting an angle?

Back

Copying an angle creates an identical angle, while bisecting an angle divides it into two equal angles.

Front

What is the significance of constructing parallel lines?

Back

Constructing parallel lines is essential in geometry for creating shapes, proving theorems, and solving problems involving angles.

Front

What tools are commonly used in geometric constructions?

Back

A compass and a straightedge (ruler without markings) are the primary tools used in geometric constructions.

Front

What is the definition of a segment in geometry?

Back

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

Front

What is the process of constructing a line parallel to a given line?

Back

1. Copy an angle formed by a transversal with the given line. 2. Use the angle to draw a new line that is parallel to the original.