Geometry 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 line parallel to a given line?

Back

By copying an angle from a point on the line.

Front

What is the purpose of a compass in geometric constructions?

Back

To draw arcs and circles, helping to create precise angles and distances.

Front

What does it mean to bisect an angle?

Back

To divide the angle into two equal angles.

Front

What is the construction for finding the circumcenter of a triangle?

Back

Construct the perpendicular bisectors of each side of the triangle; the point where they intersect is the circumcenter.

Front

What is an altitude in a triangle?

Back

A perpendicular segment from a vertex to the line containing the opposite side.

Front

What is the difference between a segment bisector and a perpendicular bisector?

Back

A segment bisector divides a segment into two equal parts, while a perpendicular bisector does so at a right angle.

Front

What does it mean to construct a perpendicular to a line from a point NOT on the line?

Back

To create a line that intersects the given line at a right angle from a point outside the line.

Front

What is the definition of a midpoint?

Back

The point that divides a line segment into two equal segments.

Front

What is the significance of using a straightedge in constructions?

Back

To draw straight lines accurately without measuring.