Unit 2.1 Make Up Assignment

Front

What is 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 a perpendicular bisector of a line segment?

Back

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

Front

What is an angle bisector?

Back

An angle bisector is a line that divides an angle into two equal angles.

Front

How do you construct an angle bisector?

Back

To construct an angle bisector, use a compass to draw arcs from the angle's vertex, then connect the vertex to the intersection of the arcs.

Front

What is the difference between a perpendicular bisector and a line perpendicular to a point on a line?

Back

A perpendicular bisector divides a segment into two equal parts, while a line perpendicular to a point on a line intersects the line at that point but does not necessarily bisect it.

Front

What is the construction for a perpendicular line to a given line from a point NOT on the line?

Back

To construct this, draw a line from the point to the line, then use a compass to create a right angle at the intersection.

Front

What is the purpose of using a compass and straightedge in constructions?

Back

A compass and straightedge are used to create precise geometric constructions without measuring.

Front

What is the significance of congruent angles in constructions?

Back

Congruent angles are important in constructions as they ensure that two angles are equal, which is often a requirement in geometric proofs.

Front

What is the definition of a median in a triangle?

Back

A median is a line segment from a vertex to the midpoint of the opposite side.

Front

How do you construct a median of a triangle?

Back

To construct a median, find the midpoint of one side of the triangle and draw a line from the opposite vertex to that midpoint.