Topic 2: Parallel and Perpendicular Lines

Front

What are parallel lines?

Back

Parallel lines are lines in a plane that never meet. They are always the same distance apart and have the same slope.

Front

What are perpendicular lines?

Back

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

Front

What does it mean for lines to be skew?

Back

Skew lines are lines that do not intersect and are not parallel. They exist in different planes.

Front

How can you identify parallel lines in a figure?

Back

Parallel lines can be identified by checking if they are equidistant from each other at all points and do not intersect.

Front

What is the relationship between the slopes of parallel lines?

Back

The slopes of parallel lines are equal.

Front

What is the relationship between the slopes of perpendicular lines?

Back

The slopes of perpendicular lines are negative reciprocals of each other.

Front

Give an example of skew lines in real life.

Back

Examples of skew lines include the edges of a staircase and the rails of a train track that do not meet.

Front

What is the significance of identifying parallel and perpendicular lines in geometry?

Back

Identifying parallel and perpendicular lines helps in understanding shapes, angles, and the properties of geometric figures.

Front

How can you determine if two lines are perpendicular using their slopes?

Back

If the product of the slopes of two lines is -1, then the lines are perpendicular.

Front

What is the definition of intersecting lines?

Back

Intersecting lines are lines that cross each other at one point.