Geometric Constructions

Front

What is the first step in constructing the angle bisector of angle A?

Back

From point A, draw an arc that intersects the sides of the angle at points B and C.

Front

What is the purpose of drawing equal arcs from points B and C in angle bisector construction?

Back

To find the intersection point D that helps in constructing the angle bisector.

Front

What is an angle bisector?

Back

A line that divides an angle into two equal parts.

Front

What tools are used for geometric constructions?

Back

A compass and a straightedge.

Front

What is a perpendicular bisector?

Back

A line that divides a line segment into two equal parts at a right angle.

Front

How do you construct a perpendicular bisector?

Back

Draw two arcs of equal radius from each endpoint of the segment, then connect the intersection points.

Front

What is the significance of the intersection points in geometric constructions?

Back

They are used to create new points that help in forming the required geometric figures.

Front

What does it mean for a construction to be 'exact'?

Back

It means that the construction is done with precision using only a compass and straightedge.

Front

What is the difference between a construction and a drawing?

Back

A construction is made using precise tools and methods, while a drawing can be freehand and may not be exact.

Front

What is the role of the compass in geometric constructions?

Back

To create arcs and circles that help in locating points and distances.