Geometric Constructions Review

Front

What is an angle bisector?

Back

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

Front

How do you construct an angle bisector using a compass?

Back

1. Place the compass point on the vertex of the angle. 2. Draw an arc that intersects both sides of the angle. 3. Label the intersection points. 4. With the same compass width, draw arcs from both intersection points. 5. Draw a line from the vertex to the intersection of the arcs.

Front

What is the difference between a perpendicular bisector and an angle bisector?

Back

A perpendicular bisector divides a line segment into two equal parts at a right angle, while an angle bisector divides an angle into two equal angles.

Front

What does it mean for two lines to be parallel?

Back

Two lines are parallel if they are in the same plane and do not intersect, no matter how far they are extended.

Front

What is the construction for a perpendicular line to a point not on a line?

Back

1. Place the compass point on the given point. 2. Draw an arc that intersects the line at two points. 3. Label the intersection points. 4. With the same compass width, draw arcs from both intersection points. 5. Draw a line through the point and the intersection of the arcs.

Front

What is the purpose of using a compass in geometric constructions?

Back

A compass is used to create arcs and circles, which are essential for accurately constructing angles, bisectors, and perpendicular lines.

Front

What is a ray in geometry?

Back

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

Front

How do you identify a bisected angle in a diagram?

Back

A bisected angle will have two angles that are equal in measure, often marked with the same arc or angle notation.

Front

What is the significance of the vertex in angle constructions?

Back

The vertex is the point where two rays meet to form an angle, and it is the reference point for constructing angle bisectors.

Front

What is the definition of a median in geometry?

Back

A median is a line segment that connects a vertex of a triangle to the midpoint of the opposite side.