Geometric Constructions

Front

What is a perpendicular bisector?

Back

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

Front

How do you construct a perpendicular bisector using a compass and straightedge?

Back

1. Place the compass point on one endpoint of the segment 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 definition of parallel lines?

Back

Lines in a plane that never meet and are always the same distance apart.

Front

What is the difference between congruent and similar figures?

Back

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

Front

What does it mean to bisect an angle?

Back

To divide an angle into two equal parts.

Front

What tools are used for geometric constructions?

Back

A compass and a straightedge.

Front

What is the purpose of geometric constructions?

Back

To create precise figures and relationships using only a compass and straightedge.

Front

How can you duplicate a line segment?

Back

1. Draw a line segment. 2. Use a compass to measure the length of the segment. 3. Place the compass point on a new point and draw an arc to create a new segment of the same length.

Front

What is the definition of a ray in geometry?

Back

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

Front

What is the significance of using only a compass and straightedge in constructions?

Back

It ensures that constructions are done with precision and without measurement tools.