Construction of perpendicular from a point on a line :
Even though students know what is perpendicular line, many students do not know, how to construct perpendicular from a point on a line.
Here we are going to see "How to construct perpendicular from a point on a line step by step"
To construct a perpendicular from a point on a line, you must need the following instruments.
1. Ruler
2. Compass
The steps for the construction of a perpendicular from a point on a line are.
Step 1 :
Draw the line segment AB and mark external point C at somewhere above the line segment AB.
Step 2 :
With C as center and any convenient radius draw arcs to cut the given line at two points P and Q.
Step 3 :
With P and Q as centers and more than half the distance between these points as radius draw two arcs to intersect each other at E.
Step 4 :
Join C and E to get the required perpendicular line.
In the above figure, CE is the perpendicular to the line segment AB from the external point C.
This construction clearly shows how to draw the perpendicular to a given line segment from an external point with compass and straightedge or ruler.
Key Concept - Perpendicular
A line which intersects the another line at right angle is called as perpendicular.
Key concept In a triangle, an altitude is the line segment drawn from a vertex of the triangle perpendicular to its opposite side. |
Altitude |
Key concept The point of concurrency of the altitudes of a triangle is called the orthocenter of the triangle and is usually denoted by H. |
Orthocenter |
Construct triangle ABC whose sides are AB = 6 cm, BC = 4 cm and AC = 5.5 cm and locate its orthocenter.
Step 1 :
Draw the triangle ABC with the given measurements.
Step 2 :
Construct altitudes from any two vertices (A and C) to their opposite sides (BC and AB respectively).
The point of intersection of the altitudes H is the orthocenter of the given triangle ABC.
After having gone through the stuff given above, we hope that the students would have understood "Construction of perpendicular from a point on a line"
If you want to know more about "How to construct perpendicular from a point on a line", please click here
If you need any other stuff in math, please use our google custom search here.
WORD PROBLEMS
HCF and LCM word problems
Word problems on simple equations
Word problems on linear equations
Word problems on quadratic equations
Area and perimeter word problems
Word problems on direct variation and inverse variation
Word problems on comparing rates
Converting customary units word problems
Converting metric units word problems
Word problems on simple interest
Word problems on compound interest
Word problems on types of angles
Complementary and supplementary angles word problems
Markup and markdown word problems
Word problems on mixed fractrions
One step equation word problems
Linear inequalities word problems
Ratio and proportion word problems
Word problems on sets and venn diagrams
Pythagorean theorem word problems
Percent of a number word problems
Word problems on constant speed
Word problems on average speed
Word problems on sum of the angles of a triangle is 180 degree
OTHER TOPICS
Time, speed and distance shortcuts
Ratio and proportion shortcuts
Domain and range of rational functions
Domain and range of rational functions with holes
Graphing rational functions with holes
Converting repeating decimals in to fractions
Decimal representation of rational numbers
Finding square root using long division
L.C.M method to solve time and work problems
Translating the word problems in to algebraic expressions
Remainder when 2 power 256 is divided by 17
Remainder when 17 power 23 is divided by 16
Sum of all three digit numbers divisible by 6
Sum of all three digit numbers divisible by 7
Sum of all three digit numbers divisible by 8
Sum of all three digit numbers formed using 1, 3, 4
Sum of all three four digit numbers formed with non zero digits