Geometry Constructions

Front

What does the word BISECT mean?

Back

To cut something into two congruent pieces or in half.

Front

What is a perpendicular bisector?

Back

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

Front

What is an angle bisector?

Back

A ray that divides an angle into two equal angles.

Front

What tools are used in compass and straightedge constructions?

Back

A compass for drawing arcs and circles, and a straightedge for drawing straight lines.

Front

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

Back

1. Place the compass on one endpoint and draw arcs 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 copying an angle using a compass and straightedge?

Back

To create an angle that is congruent to a given angle.

Front

What is the first step in constructing an angle bisector?

Back

Draw an arc that intersects both sides of the angle.

Front

What does it mean to bisect a line segment?

Back

To divide the line segment into two equal parts.

Front

What is the construction method for a perpendicular line through a given point?

Back

1. Place the compass on the point and draw an arc. 2. Mark the intersections with the line. 3. Draw arcs from these intersections and connect the point to the intersection of the arcs.

Front

What is the significance of congruence in geometry constructions?

Back

Congruence indicates that two figures have the same shape and size.