Geometry | Unit 1 | Lesson 6: Construction Techniques 4: Parallel and Perpendicular Lines | Practice Problems

Front

What is a perpendicular line?

Back

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

Front

What is a parallel line?

Back

Parallel lines are lines in a plane that never meet or intersect, no matter how far they are extended.

Front

How do you construct a perpendicular line using a compass and straightedge?

Back

To construct a perpendicular line, place the compass point on the line and draw an arc that crosses the line at two points. Then, without changing the compass width, draw arcs from each intersection point. The intersection of these arcs determines the point on the perpendicular line.

Front

What is the purpose of a perpendicular bisector?

Back

A perpendicular bisector is a line that divides a segment into two equal parts at a right angle. It is used to find the midpoint of a segment.

Front

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

Back

A line extends infinitely in both directions, while a line segment has two endpoints and a fixed length.

Front

What is the definition of a straightedge in geometry?

Back

A straightedge is a tool used in geometry to draw straight lines without measuring.

Front

What is the role of a compass in geometric constructions?

Back

A compass is used to draw arcs and circles and to measure distances between points.

Front

How can you verify if two lines are parallel?

Back

Two lines are parallel if they have the same slope or if they never intersect, even when extended.

Front

What is the significance of the right angle in geometry?

Back

A right angle is crucial in geometry as it defines perpendicular lines and is used in various constructions and proofs.

Front

What is an equilateral triangle?

Back

An equilateral triangle is a triangle where all three sides are of equal length and all three angles are equal to 60 degrees.