Geometric Constructions

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

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

Back

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

Front

What is duplicated when copying a line segment?

Back

A line segment is duplicated.

Front

Which construction is used to create a perpendicular bisector?

Back

The construction involves drawing arcs from both endpoints of the segment and connecting the intersection points.

Front

What tool is primarily used to measure lengths in geometric constructions?

Back

A compass is used to measure lengths.

Front

What is the purpose of drawing arcs in geometric constructions?

Back

Arcs are used to create equal distances and intersections for accurate constructions.

Front

How do you construct an altitude of a triangle?

Back

To construct an altitude, draw a perpendicular line from a vertex to the opposite side.

Front

What is the difference between a ray and a line segment?

Back

A ray has a starting point and extends infinitely in one direction, while a line segment has two endpoints.

Front

What is the significance of using a straightedge in constructions?

Back

A straightedge is used to draw straight lines without measuring.

Front

What is the definition of an angle bisector?

Back

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