Why is it important to learn about parallel lines?

Parallel lines help us to understand the path of the objects and sides of the various shapes. For example, opposite sides of squares, rectangles, and parallelograms are parallel to each other.

What do parallel lines tell us?

We’ve learned that parallel lines are lines that never intersect and are always at the same distance apart. The first is if the corresponding angles, the angles that are on the same corner at each intersection, are equal, then the lines are parallel.

How do we use parallel lines in real life?

Real-Life Examples of Parallel Lines Parallel lines rule the construction industry. Buildings are erected with walls parallel to each other, ceilings are parallel to floors, and one building is usually put up parallel to other buildings on the same block. Notebook paper is a thick collection of parallel lines.

Why are parallel lines important in translations?

When you translate parallel lines, you simply move them around without changing other properties. In the figure above, we have lines x and y translated 3 units apart from each other. The distance between the two lines still remains constant, however no other properties have changed.

Why is perpendicularity important?

Perpendicular lines help ensure that your table top is flat. They mean that the drawers on your dresser can open and close easily and that doors stay shut when you close them. Many older houses become less square as they age. Good carpenters know tricks to make a crooked door hang straight and square again.

What happened to the parallel lines?

Parallel lines never intersect. In the language of linear equations, this means that they have the same slope. In three-dimensional space, parallel lines are (still) lines which lie on the same plane and do not intersect.

Why are parallel and perpendicular lines important?

It can be used in many buildings like skyscrapers because if they are not parallel to the ground then they may fall over. If you want to build something like a cabinet you need the sides to be perpendicular to each other and to the top and bottom. Otherwise the door may not open and close correctly.

How do we use parallel and perpendicular lines in real life?

The ceiling is perpendicular to all four walls, and so is the floor. If the floor and ceiling of the room you are in is perpendicular to all four walls, then that must mean that the ceiling and floor are parallel. Perpendicular lines can be found on the globe, where lines of latitude and longitude intersect.

What transformation did we use for parallel lines?

translation
Therefore, a translation or a reflection are possible transformations to create parallel lines. If a reflection is used, the line of reflection has to be parallel with the given line. The last rigid motion, a rotation, can not be used to create parallel lines since it changes the direction of the line.

What happens when parallel lines are rotated?

D) Rotating parallel lines result in perpendicular lines. Explanation: Rotated parallel lines remain parallel lines. Rotation is a rigid transformation, so the lines remain parallel. Explanation: Lines l’ and m’ have the same slope.