![]() We can also draw a perpendicular line using a compass. So, BP is a line that is perpendicular to the given line.ĭrawing a Perpendicular Line Using Compass Step 3: Remove the protractor and join P and B.Step 2: Mark a point B at 90 ° of the protractor.Step 1: Place the baseline of the protractor along the line such that its center is at P.To draw a perpendicular line at point P on the given line, follow the steps given below. ![]() This tool not only helps us measure an angle in degrees, but also helps in drawing perpendicular lines. So, we can draw perpendicular lines for a given line in two ways.ĭrawing a Perpendicular Line Using ProtractorĪ protractor, in math, is considered an important measuring instrument in the geometry box. We will discuss how to draw the perpendicular lines step by step using a compass and a protractor. And, let their slopes be m1 and m2.To draw a perpendicular line, all we need is a scale (ruler), a compass or a protractor. Let us consider two lines with equations 2x-y=-5 and 2x-y=1 respectively. Determine whether the two lines 2x-y=-5 and 2x-y=1 are parallel. Now, for m1 comparing equation (I) with the form of y=mx+bĪgain, for m2 comparing equation (ii) with the form of y=mx+b Let us consider two lines with equations 2/3x+y=5/3 and 2/3x+y=1 respectively. Determine whether the two lines 2/3x+y=5/3 and 2/3x+y=1 are parallel. Hence, the two given lines are parallel as m1=m2. Now, for m1 solving equation (I) in the form of y=mx+b Let us consider two lines with equations 6x-4y=12 and 3x-2y=5 respectively. Determine whether the two lines 6x – 4y = 12 and 3x – 2y = 5 are parallel. Hence, the two given lines are parallel as m1 = m2. Now, for m1 solving equation (I) in the form of y = mx + bĪgain, for m2 solving equation(ii) in the form of y=mx+b Let us consider two lines with equations 6x – 4y = 25 and 9x – 6y = 12 respectively. If their slopes are found to be equal the lines are proved to be parallel. If the comparison of slopes of two lines is found to be equal the lines are considered to be parallel.įor this, firstly we have to determine the equations of the lines and derive their slopes. The two lines are determined to be parallel when the slopes of each line are equal to the others. How to determine if two lines are parallel? Notebook lines, railway tracks, zebra crossing are some real-life examples of parallel lines which we can observe in our surroundings. We can simply understand parallel lines as the lies which are moving along the horizon without intersecting it in the same or opposite direction. Parallel lines can be extended to infinity in both directions. ![]() Parallel lines are defined as the pair of lines that lie at equal distance from each other and intersect each other at the point of infinity. Along with some sample numerical problems for reference. The article also includes the method of determining a parallel line with the equations of given lines. The given article is a discussion of parallel lines expressing properties of parallel lines with examples. Geometry is a branch of mathematics that deals with the study of shapes and their properties.
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