This article helps the students to learn about the construction of parallel lines and perpendicular lines using set squares. 5th Grade students should be aware of drawing types of lines with set squares and compass and protractor. Here, we use set squares to construct the parallel lines. Are you excited to know how to use them? Then, look at this guide without any fail.

On this page, you can find what are parallel lines and the steps followed while constructing parallel lines by using set squares and a few examples to give practical knowledge to children.

## Parallel Lines – Definition

Parallel lines are the lines that lie on the same plane and do not meet and never intersect each other and keep the same distance between them are known as parallel lines. They are also known as non-intersecting lines and they meet at infinity. If we have two lines AB and CD of the same length and equidistant to each other then we call them as the line AB is parallel to the line CD. Let us have a small representation of how the parallel lines look as follows:

To represent parallel lines we use the symbol ‘ || ‘and read as the line AB is parallel to the line CD. The distance between the two lines is always the same.

### Set Squares

Set squares are of two types and they are named according to their angles. The set squares or pairs of triangles included a right angle and two angles of 45 degrees. It is known as the isosceles triangle. The other with a right angle, one of 60 degrees and another of 30 degrees. It is known as the scalene triangle. Just have a look at set squares as follows

The above figure says that one is 45^{o }set square and the other is 60^{o}-30^{o }set square. Set squares are used for drawing lines like parallel and perpendicular lines.

### How to Draw a Parallel Line using Set Square?

There are steps to follow to draw parallel lines using set squares. Here are the steps that are looking for:

**Step 1:** Draw a straight line by positioning an edge of one of the 45 degrees set squares against a ruler to which we want to draw the parallel lines.

**Step 2:** Place the 60^{o }set square that is attached to the 45^{o }set square, and press it lightly while drawing so it doesn’t move and it fixes the exact position.

**Step 3:** Now, fix the 60^{o}– 30^{o} set square and move the 45^{o} triangular set square upwards or downwards and draw the required parallel lines.

Do Check: Construction of Perpendicular Lines by using a Protractor

### Examples of Drawing Parallel Lines with Set Squares

**Example 1:
**Draw a parallel line through a point 4 cm by using a ruler and a set square.

**Solution:**

We draw parallel lines with the help of set squares by following steps.

Step1:

(i) Draw a line PQ by 45 degrees set square and mark a point A on it.

(ii) Draw AB = 4 cm with the help of a ruler.

Step 2:

(i) Place one set square on the line segment PQ.

(ii) Place another 60 – 30 degrees set square as shown below in the figure.

Step 3:

(i) Press the 60° set square, slide the 45° set square along the other set square till the edge of the square touches point B.

(ii) Through point B, draw a line BC along the edge.

(iii) BC is the line required parallel to PQ through point B.

Here, the line PQ is parallel to the line BC i.e., PQ || BC.

**Example 2: **

Draw a parallel line to the given line AB and passes through point X with the help of a ruler and a set square.

**Solution: **

Step 1:

(i) Use a set square and draw a parallel line AB and passes through point X.

(ii) Now, place the set square on line AB and place the ruler on the short side of the square.

Step 2:

Just slide the set square along the ruler till the side of the set square touches the point X that was placed against the parallel line AB.

Step 3:

Use the edge of the set square to draw a line through point X as shown below and name the parallel line PQ.

Thus, line AB is parallel to line PQ i.e., AB || PQ.

### FAQ’s on How to Draw Parallel Lines with Set Square and Ruler

**1. Why set squares are used?**

Set squares or triangles are used in technical drawing and in engineering, to furnish a straightedge at a right angle to a baseline.

**2. How many set squares are used while drawing?**

There are two types of set squares. One set square of 45 degrees and the other is 60-30 degrees set square. The 45 degrees square also has a 90 degrees angles. These set squares are used to draw parallel lines and perpendicular lines.

**3. How to find the distance between parallel lines and set squares?**

By holding it with one hand and placing a set square with one arm of the right angle corresponding with the edge of the ruler. Now, you can draw the line segment together with the edge of the set square. Later, you are good to measure the distance between parallel lines and set squares.