Translate a rectangle with coordinate point a(4,6), b(10,6), c(10,10) and d(4,10) by 6 units in X direction and 6 units in Y direction
with steps
Answers
Answer:
Group them under two categories – natural and created by human beings. (a) Wular (b) Dal (c) Nainital (d) Bhimtal (e) Gobind Sagar (f) Loktak (g) Barapani (h) Chilika (i) Sambhar (j) Rana Pratap Sagar (k) Nizam Sagar (l) Pulicat (m) Nagarjuna Sagar (n) Hirakund
Answer:
Now for it to be rectangle, two sides must be the same length, and the other two sides must also be of equal length (visually imagine this)
To put it into vector form.
The absolute value of this (using pythagoras) is sqrt(3^2+(-2)^2)
Using the same method as above, we find CD and the other ones
We don’t know what the coordinates of D are, so let’s call the coordinates (x,y)
=CD
to find the absolute value, we use pythagoras again
This gets us our first equation
Now we do the same with the below
we get our second equation
solve these two equations simultaneously to get
x=3 y=-2
or x=9 y=-6
Therefore the coordinates of ‘D’ are either
D = (3,-2) or (9,-6).