draw perpendicular line in civil 3d

Perpendicular Line

Perpendicular lines are the 2 distinct lines that intersect at each other at xc°. Have you noticed anything common between the joining corners of your walls, or the letter "50"? They are the straight lines known every bit perpendicular lines that meet each other at a specific angle - the right angle.

We say that a line is perpendicular to some other line if the 2 lines meet at an angle of 90^°. Let us understand the concept of perpendicular lines in item.

one.	What is Perpendicular?
ii.	Perpendicular Lines
three.	Properties of Perpendicular Lines
4.	How to Draw Perpendicular Lines?
5.	Perpendicular and Parallel Lines
six.	FQAs on Perpendicular

What is Perpendicular?

A perpendicular is a straight line that makes an angle of ninety^° with another line. 90^° is too called a right angle and is marked by a piddling square between two perpendicular lines every bit shown in the figure. Here, the two lines intersect at a right angle, and hence, are said to be perpendicular to each other.

Now, look at the examples of lines that are non perpendicular. These lines are either non coming together at all, or intersecting at an angle that is not xc^°. Hence, they are not perpendicular.

What is a Perpendicular Line?

Perpendicular lines, in math, are two lines that intersect each other and the angle betwixt them is 90°. If 2 lines \(\overline{AB}\) and \(\overline{CD}\) are perpendicular to each other, we stand for it using the notation \( \mathbf{ \overline{AB} \perp \overline{CD}}\).

Some shapes which have perpendicular lines are:

• Square
• Right-angled triangle
• Rectangle

Backdrop of Perpendicular Line

We have already seen how the perpendicular lines wait like. If there is an "L" shape in a figure, the corresponding angle at the vertex is a right angle. Perpendicular lines ever intersect each other, nonetheless, all intersecting lines are not always perpendicular to each other. The 2 primary properties of perpendicular lines are:

• Perpendicular lines always run into or intersect each other.
• The angle between any two perpendicular lines is ever equal to 90^°

How to Depict Perpendicular Lines?

To draw a perpendicular line, all nosotros need is a scale (ruler), a compass or a protractor. We will discuss how to draw the perpendicular lines pace by pace using a compass and a protractor. So, we tin can draw perpendicular lines for a given line in two ways.

• Using a protractor
• Using a compass

Cartoon a Perpendicular Line Using Protractor

A protractor, in math, is considered an of import measuring instrument in the geometry box. This tool not only helps us measure an angle in degrees, just as well helps in cartoon perpendicular lines. To describe a perpendicular line at point P on the given line, follow the steps given below.

• Step 1: Identify the baseline of the protractor along the line such that its center is at P.
• Stride 2: Marker a indicate B at 90^° of the protractor.

• Step 3: Remove the protractor and join P and B. And then, BP is a line that is perpendicular to the given line.

Drawing a Perpendicular Line Using Compass

We can also draw a perpendicular line using a compass. To depict a perpendicular line at a signal P on a line, follow the steps given below.

• Pace 1: Suit the compass to the desired radius.
• Step 2: Placing the pointer of the compass at P, construct a semi-circle that cuts the line at A and B.

• Stride 3: Without agonizing the radius of the compass, describe 2 arcs that cut the semi-circumvolve at C and D by placing the pointer of the compass at A and B respectively.

• Step 4: Keeping the same radius, depict two intersecting arcs that intersect at Q by placing the pointer of the compass at C and D.

• Step v: Join P and Q, which forms a perpendicular on the given line. Now, PQ is perpendicular to AB.

Perpendicular Lines and Parallel Lines

2 straight lines are said to be parallel if they are equidistant from each other and never encounter, no matter how much they may be extended in either directions. Observe the lines shown beneath to see the deviation between perpendicular lines and parallel lines. In the effigy, AB is perpendicular to CD and PQ is parallel to RS.

The symbol used to evidence that the lines are parallel is ||, and we express information technology equally: PQ || RS. You can find parallel lines all effectually you. For example, zebra crossings on the road or the reverse sides of your ruler, and many others too! The table shown beneath differentiates between parallel lines and perpendicular lines.

Difference Between Parallel and Perpendicular Lines

Parallel Lines	Perpendicular lines
Parallel lines are those lines that do not intersect anywhere and are always the same distance autonomously.	Lines that intersect each other forming a right angle are called perpendicular lines.
Example: the steps of a straight ladder; the opposite sides of a rectangle.	Example: the corner of two walls; the letter "L"
The symbol used to announce two parallel lines: ||	The symbol used to denote ii perpendicular lines: \(\mathbf{\perp}\).

☛ Related Articles:

Check out few more interesting articles related to perpendicular lines for better understanding.

• Perpendicular Lines Formula
• Perpendicular Line Calculator
• Perpendicular Bisector Theorem

Examples on Perpendicular Lines

1. Example i:

   The two lines inside the kite intersect each other at right angles are perpendicular. Listing the full number of right angles formed at the intersection.

   

   Solution

   Since the two lines AB and CD intersect each other at right angles, there are 4 right angles at the intersecting point. Hence, Angle AOD = Angle DOB = Angle BOC = Angle AOC = 90^°.

2. Example 2:

   In the post-obit effigy, AB is perpendicular to CD. If Angle BOC = xc^°, then discover the value of 10.

   

   Solution

   Since Angle BOC = 90^°, we can write: x + 63° = xc°. Therefore, x = 27°

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FAQs on Perpendicular Line

What is Perpendicular?

Perpendicular means standing at right angles to the plane of the horizon.

What are Perpendicular Angles?

The perpendicular angle tin can be referred to as the right angle (ninety°) that is formed when two perpendicular lines intersect each other.

What is the Perpendicular Symbol?

The symbol used in between the 2 lines to say that they are perpendicular is ⊥.

What is Perpendicular Lines Formula?

To observe the slope of two lines we use the perpendicular line'due south formula. The perpendicular line formula is defined as the product of 2 slopes m1 and m2 is -1. It is mathematically expressed as (m1×m2 = -1) or m1 = -1/m2.

What is the Departure Between Perpendicular and Parallel Lines?

Perpendicular lines are those lines that intersect each other at correct angles (90°). Parallel lines are those lines that exercise not intersect anywhere and are ever the aforementioned distance autonomously.

Exercise Perpendicular Lines Touch Each Other?

Yes, 1 of the backdrop of perpendicular lines is that they intersect and touch each other.

How do You Know if Ii Lines Are Perpendicular?

If 2 lines intersect each other making an bending of 90°, then those ii lines are perpendicular to each other.

Are Diagonals of a Rhombus Perpendicular to Each Other?

The diagonals of a rhombus intersect each other at an angle of 90°, so nosotros can say that the diagonals of a rhomb are perpendicular to each other.

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Source: https://www.cuemath.com/geometry/perpendicular/