Practice #2 Geometry Constructions

Front

What is the bisector of a given angle?

Back

The bisector of a given angle is a line or ray that divides the angle into two equal parts.

Front

What theorem is used to construct a line parallel to a given line through a point not on the line?

Back

The Corresponding Angles Theorem is used for this construction.

Front

What is the first step to construct angle EFG congruent to angle DBC using a compass and straightedge?

Back

Place the compass point at point B.

Front

Where should the compass be fixed to create the two arcs for the angle bisector of angle ABC?

Back

The compass should be fixed on points D and E.

Front

What is the purpose of constructing a perpendicular bisector?

Back

A perpendicular bisector divides a segment into two equal parts at a right angle.

Front

Define the term 'congruent angles'.

Back

Congruent angles are angles that have the same measure.

Front

What is the Alternate Interior Angles Theorem?

Back

If two parallel lines are cut by a transversal, then each pair of alternate interior angles is congruent.

Front

What is the significance of the compass in geometric constructions?

Back

A compass is used to draw arcs and circles, helping to create precise angles and segments.

Front

What is the definition of a segment bisector?

Back

A segment bisector is a point, line, ray, or segment that divides a segment into two equal parts.

Front

How do you construct a perpendicular bisector of a segment?

Back

To construct a perpendicular bisector, draw arcs from both endpoints of the segment, then connect the intersection points.