Perpendicular lines will always be formed when two lines will be meeting each other at a right angle or the right degree. This particular property is known as the concept of perpendicularity in the world of mathematics. Whenever the line will be perpendicular to the plane it will also be known as the perpendicular to all the points into the plane or perpendicular to each line in the plane that it will be in the intersecting. Two planes are said to be perpendicular in space if the dihedral angle at which they are meeting is a right angle. Hence it is very much important for kids to note down that perpendicular lines will always intersect at 90° but not all intersecting lines are perpendicular.

 This is also represented with the help of a particular symbol and a point of intersection will always be known as the foot of perpendicular. Some of the basic properties are:

 The perpendicular lines will always intersect at the right angles

 If any two lines are perpendicular to the same line then they both will be parallel to each other and will never intersect with each other.

 It is very important for kids to be clear about the slope of perpendicular lines as well and for this purpose two lines will be perpendicular to each other only if the product of the slope of two lines is equal to the minus of unity. The formula for this has been explained as:

 M1 into M2 = -1.

 In the above-mentioned case, people need to note down that product of slope will always come out to be -1 and on the other hand the cases of parallel lines M1 = M2.

 It is also important for kids to be clear about the construction of the perpendicular lines because it is a very simple process and the angle between two lines should always be equal to the 90°. So, to indulge in the construction of perpendicular lines people need to have access to a compass along with a straight line ruler or scale.

 Following are the basic steps to be followed in this particular area:

  • People need to draw the horizontal line first
  • Then with the help of a compass people need to draw the arc at the centre of the line so that it will be intersecting the line at two points which will be equidistant from oh. Both of these points will be P and Q.
  • After this, at the points, P and Q people need to draw the arc inside such that they are intersecting with each other and at the top as well as bottom of the horizontal line.
  • After this kids need to join the two points where two arcs are intersecting each other and the line which will be obtained after joining it will be perpendicular to the horizontal line and overall goals will be easily achieved.

 In the real-life, there are several kinds of examples of perpendicular lines in the form of lines and surfaces. The corner of the wall which is intersecting each other at right angles, tiles into the kitchen of the washroom, the intersection of different kinds of roads, Hands of the clock and several other kinds of related things will be perfectly made available as examples of perpendicular lines without any kind of problem. Hence, having a clear idea about this particular topic is very much important for kids and apart from this kids also need to be clear about the concept of parallel lines from the house of experts at Cuemath so that there is no doubt at the time of solving the questions.