Question
Draw a parallelogram $ABCD$ on a graph paper with the coordinates given in Table $I.$ Use this table to complete Tables $II$ and $III$ to get the coordinates of $E, F, G, H$ and $J, K, L, M$.
Table $I$
point
$(x, y)$
$A$
$(1, 1)$
$B$
$(4, 4)$
$C$
$(8, 4)$
$D$
$(5, 1)$
Table $II$
point
$(0.5x, 0.5y)$
$E$
$(0.5, 0.5)$
$F$
 
$G$
 
$H$
 
Table $III$
point
$(2x, 1.5y)$
$J$
$(2, 1.5)$
$K$
 
$L$
 
$M$
 
Draw parallelograms $EFGH$ and $JKLM$ on the same graph paper. Plot the points $(2, 4)$ and $(4, 2)$ on a graph paper, then draw a line segment joining these two points.

Answer

Complete table is shown below
point
$(0.5x, 0.5y)$
points
$(2x, 1.5y)$
$E$
$(0.5, 0.5)$
$J$
$(2, 1.5)$
$F$
$(2, 2)$
$K$
$(8, 6)$
$G$
$(4, 2)$
$L$
$(16, 6)$
$H$
$(2.5, 0.5)$
$M$
$(10, 15)$

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Similar questions

Monu's father is $26$ years younger than Monu's grandfather and $29$ years older than Monu. The sum of the ages of all the three is $135$ years. What is the age of each one of them?
Observe the following pattern,
$ 2^2-1^2=2+1 $
$ 3^2-2^2=3+2 $
$ 4^2-3^2=4+3 $
$ 5^2-4^2=5+4 $
and find the value of,
$i. 100^2- 99^2$
$ii. 111^2- 109^2$
$iii. 99^2- 96^2$
Solve the cryptarithms -
(i) $EF \times E = GGG$
(ii) $WOW \times 5= MEOW$
Sonal and Anmol made a sequence of tile designs from square white tiles surrounding one square purple tile. The purple tiles come in many sizes. Three of the designs are shown below.
$a.$ Copy and complete the table
Side Length of Purple
$1$
$2$
$3$
$4$
$5$
$10$
$100$
Number of white Tiles in Border
             

$b.$ Draw a graph using the first five pairs of numbers in your table.
$c.$ Do the points lie on a line?
Given below is the frequency distribution of the heights of $50$ students of a class:
Class interval
$140-145$
$145-150$
$150-155$
$155-160$
$160-165$
Frequency
$8$
$12$
$18$
$10$
$5$
Draw a histogram representing the above data.
Use the table below to draw line graph. Population (in thousands) of men and women in a village in different years.
Year $2003$ $2004$ $2005$ $2006$ $2007$
Number of Men $12$ $12.5$ $13$ $13.2$ $13.5$
Number of Women $11.3$ $11.9$ $13$ $13.6$ $12.8$
A society collected $Rs.\ 92.16$. Each member collected as many paise as there were members. How many members were there and how much did each contribute?
Half of a herd of deer are grazing in the field and three-fourths of the remaining are playing nearby. The rest $9$ are drinking water from the pond. Find thenumber of deer in the herd.
The parallel sides of a trapezium are $20\ cm$ and $10\ cm.$ Its nonparallel sides are both equal, each being $13\ cm.$ Find the area of the trapezium.
Construct a rectangle whose one side is $3\ cm$ and a diagonal equal to $5\ cm$.