An Example Of Perpendicular Lines
Definition of Perpendicular Lines
In geometry, perpendicular lines are defined as two lines that see or intersect each other at right angles (90°). The term 'perpendicular' originated from the Latin word 'perpendicularis,' meaning a plumb line.
If two lines, AB and CD, are perpendicular, and so we can write them as AB ⟂ CD. The symbol ⟂ is used to bespeak that the lines are perpendicular.
Examples of Perpendicular Lines in Real Life
We tin can observe many perpendicular lines in real life. Some examples are shown below.
Not-Examples of Perpendicular Lines in Real Life
| The two lines are parallel and do not intersect each other. | The ii lines are intersecting each other at an acute angle. | The lines are non intersecting at correct angles. |
Properties of Perpendicular Lines
The ii main properties of perpendicular lines are given below.
- These lines e'er intersect at right angles.
- If two lines are perpendicular to the same line, they are parallel to each other and will never intersect.
Amalgam Perpendicular Lines
We tin can draw perpendicular lines in the post-obit ways.
Using a Protractor
- Draw a horizontal line, PQ, on a sheet of paper.
- Mark a point, A, on information technology. This would be the indicate of intersection.
- Place the heart of the protractor on Signal A. Align the baseline of the protractor with the line PQ.
- At the 90° mark on the protractor, mark Point B. It is at the very top of the protractor.
- Join points A and B to get AB ⟂ PQ.
Using a Compass
- Describe a line, PQ, using a ruler. Mark a signal A on it.
- Draw an arc of any radius on either side of Indicate A. The arc length should be the same on both sides.
- Mark the points where the arcs intersect the line every bit 10 and Y.
- Place the compass needle at point X and set a radius greater than XA. Depict an arc from 10 in the upper part of the line PQ.
- Keep the radius the same and cut an arc from Point Y, intersecting the previous arc at B.
- Join A and B using a ruler. Extend it if needed. The lines AB and PQ are perpendicular to each other.
Conclusion
Requite your children opportunities to observe perpendicular lines in objects or places around them, such as a alpine tree on the ground, an electric pole on the pavement, railway intersection, the corner of two adjacent walls, and loftier buildings.
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Solved Examples
Example 1 If AB ⊥ CD and CD ⊥ EF. What can you say about AB and EF?
Line AB is perpendicular to line CD.
Also, line CD is perpendicular to line EF.
When ii lines are perpendicular to the aforementioned line, then the two lines are parallel to each other.
Thus, lines AB and EF are parallel to each other.
Instance ii: Are these lines perpendicular?
No, these lines are non perpendicular because they exercise non intersect at correct angles.
Case 3: Are these lines perpendicular?
Yes, these are perpendicular lines. They intersect at ninety°.
Practice Problems
Perpendicular Lines
Attend this Quiz & Test your knowledge.
03:40 pm
04:00 pm
09:00 am
10:10 am
Correct answer is: 09:00 am
The hands of the clock intersect at right angles when the fourth dimension is 9:00 am.
right
obtuse
acute
straight
Correct answer is: right
Perpendicular lines intersect each other at ninety°. 90° angles are known as right angles.
Ball
Birthday Hat
Banana
Laptop
Correct answer is: Laptop
Laptop has edges intersecting at correct angles. All other images practise not have lines intersecting at right angles.
Frequently Asked Questions
What are perpendicular lines?
We can define a perpendicular line as two directly lines joined at a common point, making a xc° bending with each other.
What is the difference between parallel and perpendicular lines?
Graphically, parallel lines are two or more straight lines that do not bear on each other even afterward extending them. However, perpendicular lines intersect each other at 90°.
Are all intersecting lines likewise perpendicular lines?
No. All intersecting lines are not perpendicular lines equally a perpendicular line is made by ii lines intersecting at xc°.
Is it possible to accept two lines that are both parallel and perpendicular to each other?
Parallel lines never affect each other while perpendicular lines run across each other at the intersecting point. Thus, you cannot have two lines that are both parallel and perpendicular to each other.
How many perpendicular lines can exist drawn to a given line?
A perpendicular line must be at 90° with the other line. Since you can describe many lines in this mode, there can exist an space number of perpendicular lines on a given line.
An Example Of Perpendicular Lines,
Source: https://www.splashlearn.com/math-vocabulary/geometry/perpendicular-lines
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