Geometric Constructions

Front

What is a geometric construction?

Back

A geometric construction is a method of creating geometric figures using only a compass and straightedge.

Front

What is a perpendicular line?

Back

A perpendicular line is a line that intersects another line at a right angle (90 degrees).

Front

How do you construct a perpendicular line through a given point 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. Without changing the compass width, draw arcs from each intersection point. 4. Draw a line through the intersection of the arcs.

Front

What is an angle bisector?

Back

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

Front

How do you construct an angle bisector?

Back

1. Place the compass point at the vertex of the angle. 2. Draw an arc that intersects both sides of the angle. 3. From the intersection points, draw arcs of equal radius. 4. Draw a line from the vertex to the intersection of the arcs.

Front

What does it mean to copy an angle?

Back

Copying an angle means creating a new angle that is congruent to a given angle.

Front

What is the first step in copying an angle?

Back

Draw a ray that will be one side of the new angle.

Front

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

Back

A compass is used to draw arcs and circles, which are essential for creating precise geometric figures.

Front

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

Back

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

Front

What is the significance of intersecting arcs in constructions?

Back

Intersecting arcs help locate points that are equidistant from two or more points, which is crucial for accurate constructions.