Geometric Constructions

Front

What is an angle bisector?

Back

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

Front

What is the purpose of 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 an angle bisector using a compass and straightedge?

Back

1. Place the compass point on the angle's vertex. 2. Draw an arc that intersects both rays of the angle. 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 definition of a midpoint?

Back

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

Front

What is the difference between parallel and perpendicular lines?

Back

Parallel lines never intersect and are always the same distance apart, while perpendicular lines intersect at a right angle (90 degrees).

Front

What is the construction method for copying a line segment?

Back

1. Place the compass point on one endpoint of the segment. 2. Draw an arc to measure the length. 3. Move to the new location and draw an arc with the same radius.

Front

What is an altitude in a triangle?

Back

An altitude is a perpendicular segment from a vertex to the line containing the opposite side.

Front

What is the definition of congruent segments?

Back

Congruent segments are line segments that have the same length.

Front

How do you construct a square using a compass and straightedge?

Back

1. Draw a line segment for one side. 2. Use the compass to draw arcs from each endpoint to find the other two vertices. 3. Connect the vertices to form the square.

Front

What is the definition of a regular hexagon?

Back

A regular hexagon is a six-sided polygon with all sides and angles equal.