We already know the rule for the pattern of letters \( \mathrm{L}, \mathrm{C} \) and \( \mathrm{F} \). Some of the letters from Q.1 (given above) give us the same rule as that given by L. Which are these? Why does this happen?
To do:
We have to find the rule that is given by L from among the letters given in Q.1.
Solution:
A pattern of letter \( T \) as 
From the figure, we observe that two matchsticks are required to make the letter T.
Therefore, the required pattern is $2n$.
Among the letters given in Q.1, $T$ and $V$ are the letters which require two matchsticks.
This happens because the number of sticks required in the formation of the letters L, T and V is the same.
Related Articles
- 1. Why does the colour of copper sulphate solution change when an iron nail is dipped in it?2. Give an example of a double displacement reaction other than the one given in Activity 1.10.3. Identify the substances that are oxidised and the substances that are reduced in the following reactions.\[\begin{array}{l}\text { (i) } 4 \mathrm{Na}(\mathrm{s})+\mathrm{O}_{2}(\mathrm{~g}) \rightarrow 2 \mathrm{Na}_{2} \mathrm{O}(\mathrm{s}) \text { (ii) } \mathrm{CuO}(\mathrm{s})+\mathrm{H}_{2}(\mathrm{~g}) \rightarrow \mathrm{Cu}(\mathrm{s})+\mathrm{H}_{2} \mathrm{O}(\mathrm{l})\end{array}\]
- Find the rule which gives the number of matchsticks required to make the following matchstick patterns. Use a variable to write the rule.(a) A pattern of letter \( T \) as (b) A pattern of letter \( \mathrm{Z} \) as (c) A pattern of letter \( \mathrm{U} \) as (d) A pattern of letter \( \mathrm{V} \) as (e) A pattern of letter \( \mathrm{E} \) as (f) A pattern of letter \( S \) as(g) A pattern of letter A as "
- Find the perimeter of rectangle whosea) \( l=50 \mathrm{~cm}, b=30 \mathrm{~cm} \)b) \( l=2 \cdot 5 \mathrm{~cm}, b=1 \cdot 5 \mathrm{~cm} \)
- A car covers \( 18 \mathrm{km} \) using \( 1 \mathrm{L} \) of petrol. Find the distance it can cover using \( 7 \frac{1}{2} \mathrm{L} \) of petrol.
- \( \mathrm{BE} \) and \( \mathrm{CF} \) are two equal altitudes of a triangle \( \mathrm{ABC} \). Using RHS congruence rule, prove that the triangle \( \mathrm{ABC} \) is isosceles.
- The mass of \( 2.43 \mathrm{L} \) of \( \mathrm{CH}_{4} \) at \( 1.5 \mathrm{atm} \) and \( 27^{\circ} \mathrm{C} \) isa) \( 1.6 \mathrm{g} \)b) \( 2.4 \mathrm{g} \)
- Find the perimeter of the rectangle.$l=35 \mathrm{~cm}, b=28 \mathrm{~cm}$
- Study the diagram. The line \( l \) is perpendicular to line \( m \)(a) \( \mathrm{Is} \mathrm{CE}=\mathrm{EG} \) ?(b) Does PE bisect CG?(c) Identify any two line segments for which PE is the perpendicular bisector.(d) Are these true?(i) \( \mathrm{AC}>\mathrm{FG} \)(ii) \( \mathrm{CD}=\mathrm{GH} \)(iii) \( \mathrm{BC}"
- Line \( l \) is the bisector of an angle \( A \) and \( B \) is any point on $l$. BP and BQ are perpendiculars from B to the arms of \( \angle A \). Show that(i) \( \triangle \mathrm{APB} \cong \triangle \mathrm{AQB} \)(ii) \( \mathrm{BP}=\mathrm{BQ} \) or \( \mathrm{B} \) is equidistant from the arm of angle \( \mathrm{A} \)
- Given some line segment \( \overline{\mathrm{AB}} \), whose length you do not know, construct \( \overline{\mathrm{PQ}} \) such that the length of \( \overline{\mathrm{PQ}} \) is twice that of \( \overline{\mathrm{AB}} \).
- Choose the correct answer from the given four options:If in two triangles \( \mathrm{DEF} \) and \( \mathrm{PQR}, \angle \mathrm{D}=\angle \mathrm{Q} \) and \( \angle \mathrm{R}=\angle \mathrm{E} \), then which of the following is not true?(A) \( \frac{\mathrm{EF}}{\mathrm{PR}}=\frac{\mathrm{DF}}{\mathrm{PQ}} \)(B) \( \frac{\mathrm{DE}}{\mathrm{PQ}}=\frac{\mathrm{EF}}{\mathrm{RP}} \)(C) \( \frac{\mathrm{DE}}{\mathrm{QR}}=\frac{\mathrm{DF}}{\mathrm{PQ}} \)(D) \( \frac{E F}{R P}=\frac{D E}{Q R} \)
- Choose the correct answer from the given four options:It is given that \( \triangle \mathrm{ABC} \sim \triangle \mathrm{DFE}, \angle \mathrm{A}=30^{\circ}, \angle \mathrm{C}=50^{\circ}, \mathrm{AB}=5 \mathrm{~cm}, \mathrm{AC}=8 \mathrm{~cm} \) and \( D F=7.5 \mathrm{~cm} \). Then, the following is true:(A) \( \mathrm{DE}=12 \mathrm{~cm}, \angle \mathrm{F}=50^{\circ} \)(B) \( \mathrm{DE}=12 \mathrm{~cm}, \angle \mathrm{F}=100^{\circ} \)(C) \( \mathrm{EF}=12 \mathrm{~cm}, \angle \mathrm{D}=100^{\circ} \)(D) \( \mathrm{EF}=12 \mathrm{~cm}, \angle \mathrm{D}=30^{\circ} \)
- \( A \) and \( B \) are respectively the points on the sides \( P Q \) and \( P R \) of a triangle \( P Q R \) such that \( \mathrm{PQ}=12.5 \mathrm{~cm}, \mathrm{PA}=5 \mathrm{~cm}, \mathrm{BR}=6 \mathrm{~cm} \) and \( \mathrm{PB}=4 \mathrm{~cm} . \) Is \( \mathrm{AB} \| \mathrm{QR} \) ? Give reasons for your answer.
Kickstart Your Career
Get certified by completing the course
Get Started
Data Structure
Networking
RDBMS
Operating System
Java
MS Excel
iOS
HTML
CSS
Android
Python
C Programming
C++
C#
MongoDB
MySQL
Javascript
PHP
Physics
Chemistry
Biology
Mathematics
English
Economics
Psychology
Social Studies
Fashion Studies
Legal Studies