Given:$l$ is the line of symmetry.To do:We have to complete the diagram to make it symmetric. Solution:Symmetry :When an image looks identical to the original image after the shape is turned or flipped, then it is called symmetry.The below figure is the complete diagram to make it symmetric. Read More

To do:We have to complete the figures in the squared paper such that the dotted line is the line of symmetry.Solution:Symmetry :When an image looks identical to the original image after the shape is turned or flipped, then it is called symmetry.Line of Symmetry is a line that divides the figure ... Read More

To do:We have to identify the shapes given in the figure, check whether they are symmetric or not and draw the line of symmetry as well.Solution:Symmetry :When an image looks identical to the original image after the shape is turned or flipped, then it is called symmetry.Line of Symmetry is a ... Read More

To do:We have to pick out the solution from the values given in the bracket next to each equation. Solutions:(a) $5m = 60$If $m = 10$ then $5m=5(10)=50$$m=10$ is not a solution for the equation $5m = 60$ Therefore, the equation is not satisfied.If $m = 5$ then $5m=5(5)=25$$m=5$ is not a ... Read More

To do:We have to complete the tables and by inspection of the tables find the solutions to the equations.Solutions:(a) For $m + 10$, the table is represented as below:$m$$m+10$1$1+10=11$2$2+10=12$3$3+10=13$4$4+10=14$5$5+10=15$6$6+10=16$7$7+10=17$8$8+10=18$9$9+10=19$10$10+10=20$Therefore, from the table, The solution to the equation $m+10=16$ is $m=6$.(b) For $5t$, the table is represented as below:$t$$5t$3$5\times3=15$4$5\times4=20$5$5\times5=25$6$5\times6=30$7$5\times7=35$8$5\times8=40$9$5\times9=45$10$5\times10=50$11$5\times11=55$Therefore, from the ... Read More

To do:We have to solve the given riddles.Solutions:(i) Number of corners in a square $=4$Thrice the number of corners in the square $= 3 \times 4$$= 12$When 12 is added to the number it becomes 34.This implies, The number is the difference between 34 and 12$34 - 12 = 22$(ii) ... Read More

To do:We have to determine whether the given numbers are in proportion.Solution:We know that, The proportion is defined as the equality of two ratios.If $p, q, r, s$ are in proportion then,  $\frac{p}{q} = \frac{r}{s}$. (a) The ratio of the first two numbers $=\frac{15}{45}$$=\frac{1}{3}$The ratio of the second two numbers ... Read More

To do:We have to write True ( T ) or False ( F ) against each of the given statements.Solution:We know that, The proportion is defined as the equality of two ratios.If $p:q::r:s$ then,  $\frac{p}{q} = \frac{r}{s}$.(a) 16:24:: 20:30$16:24 = \frac{16}{24}$$=\frac{2}{3}$$20:30 = \frac{20}{30}$$=\frac{2}{3}$Since, $16:24 = 20:30$The given statement is True.(b)  ... Read More

To do: We have to find whether the given statements are true.Solution:(a) $40\ persons: 200\ persons =Rs.\ 15: Rs.\ 75$The ratio of  $40\ persons: 200\ persons $$=\frac{40\ persons}{200\ persons}$$=\frac{1}{5}$The ratio of $Rs.\ 15: Rs.\ 75$ $=\frac{Rs.\ 15}{Rs.\ 75}$$= \frac{1}{5}$Since, $40\ persons : 200\ persons = Rs.\ 15 : Rs.\ 75$The given ... Read More

To do:We have to determine whether the given ratios form a proportion and also the middle terms and extreme terms where the ratios form a proportion.Solution:We know that, The proportion is defined as the equality of two ratios.If $p, q, r, s$ are in proportion then,  $\frac{p}{q} = \frac{r}{s}$.(a) We ... Read More