Constructions

Front

What is a perpendicular bisector?

Back

A perpendicular bisector is a line that divides a segment into two equal parts at a 90-degree angle.

Front

What tool is used to draw circles and arcs?

Back

Compass

Front

What are perpendicular lines?

Back

Perpendicular lines are lines that intersect at a right angle (90 degrees).

Front

How do you construct a perpendicular line through a point not on the line?

Back

1. Place the compass point on the given point and draw an arc that intersects the line at two points. 2. Without changing the compass width, draw arcs from each intersection point. 3. Draw a line through the intersection of the arcs.

Front

What is the first step in constructing a perpendicular bisector?

Back

Place the compass point on one endpoint of the segment and draw an arc above and below the segment.

Front

What is the purpose of a compass in geometric constructions?

Back

A compass is used to draw arcs and circles, which are essential for various constructions.

Front

What is the definition of an angle bisector?

Back

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

Front

What is the construction for creating an angle congruent to a given angle?

Back

1. Place the compass point on the vertex of the given angle and draw an arc. 2. Without changing the compass width, place the compass point on the vertex of the new angle and draw an arc. 3. Use the intersection points to create the congruent angle.

Front

What is the significance of the intersection point in constructing perpendicular lines?

Back

The intersection point is where the two lines meet at a right angle, confirming they are perpendicular.

Front

What is a line parallel to a given line?

Back

A line that runs in the same direction as the given line but never intersects it.