Question

Translate a square abcd with the coordinates a(0,0),b(5,0),c(5,5),d(0,5) by 2 units in x-direction and 3 units in y-direction.

Answer 1

a(0,0) ; b(2,0) ; c(2,3) ; d(0,3)

Answer 2

Translate the given square in the given 'x' and 'y' directions.

Explanation:

• Given the directions and measures of translation to be done in XY- coordinate system the new coordinates can be easily drawn from them.
• Let the coordinate of a point P in the XY-coordinate system be (x, y)
• You have to translate the point by 'a' in the right direction (i.e, x-direction) and 'b' units upwards (i.e, y-direction). Then the translated point is given by ($x+a,\ y+b$).  
• The coordinates of the square are $a(0,0),\ b(5,0),\ c(5,5)\ and\ d(0,5)$.
• Here we have $a=2,\ b=3$ . The points a', b', c', and d' of the translated square are,      
• $a'(0+2,0+3)\ \ \ \ \ \ \ \ \ \ \ \ ->a'(2,3)\\b'(5+2,0+3)\ \ \ \ \ \ \ \ \ \ \ \ ->b'(7,3)\\c'(5+2,5+3)\ \ \ \ \ \ \ \ \ \ \ \ ->c'(7,8)\\a'(0+2,5+3)\ \ \ \ \ \ \ \ \ \ \ \ ->d'(2,8)$  ------->ANSWER