Parallel lines will be the lines that will never intersect or meet each other at any point in the whole plane. These will always remain equidistant from each other and will be the non-intersecting lines. Hence, whenever the parallel lines will be there and if the transversal is present then there will be different kinds of formation of angles, and some of those angles are mentioned as follows:
- The corresponding angles
- Vertically opposite angles
- Alternate exterior angles
- Alternate interior angles
- Linear pair
The lines can either be parallel or can either be intersecting and whenever two lines will meet at a point into the plane they will be known as intersecting lines. If two lines will be intersecting at distinct points it will also be known as the transversal line. Hence, this particular pair of lines will lead to the formation of different kinds of angles as mentioned above.
Following are the basic properties of the parallel lines:
- If two lines will be parallel they will never intersect each other on a common plane
- Whenever the transversal will be intersecting two parallel lines at two different points then four kinds of angles will be formed at every point.
- The corresponding angles in all such cases will be equal
- The vertical angles of the vertically opposite angles will also be equal
- The alternate interior angles will be equal
- The alternate exterior angles will be equal
- The pair of the interior angles on the same side of the transversal will be supplementary
The alternate angles will be the set of non-adjacent angles on every side of the transversal and if a straight line will be intersecting two or more parallel lines it will be known as transversal. When the coplanar lines will be cut by a transversal some angles will be formed and those angles will always be known as interior or exterior angles.
The alternate interior angles will be the pair of angles on the inner side of the two parallel lines but the opposite side of the transversal
The alternate exterior angles are the pair of angles on the outer side of the two parallel lines but will always be on the opposite side of the transversal
As per the alternate angles theorem, it has been stated that two parallel lines will be cut by a transversal then the resulting alternate interior angles all the alternate exterior angles will always be congruent. This particular theorem has also been properly backed by comprehensive research which makes it very much popular among people across the globe. Several people are dependent upon the utilization of this particular formula and concept so that overall goals are very easily and efficiently achieved.
Apart from this, it is also very much important for the kids to be clear about the alternate interior angles because they will be the angles that are found inside the two parallel lines whenever it will be intersected by the transversal. It will also be equal to the alternate pairs and will be known as alternate interior angles. The properties of the alternate interior angles are explained as:
- These angles will be congruent
- The sum of the angles formed on the same side of the transversal will be 180°
- In the cases of non-parallel lines, the alternate interior angles will not have any kind of specific properties throughout the whole process.
Another very important concept in the world of mathematics is the co-interior angles which have to be taken good care of because these are the angles which are also known as the consecutive interior angles or the same side interior angles. They will always lie on the same side of the transversal. Hence, it is very much important for the kids to be clear about the concepts of different kinds of angles like obtuse angle, right angle, and several other kinds of things which is only possible if they get themselves registered on platforms like Cuemath where they will be taught by experts of the industry.