Question

The rule T1, -4 RO, 180°(x, y) is applied to rectangle KLMN. Which rectangle shows the final image? 1 2 3 4

Answer 1

Figure 3 is the answer to this question

Answer 2

Answer: The correct option is 3.

Explanation:

From the given figure it is noticed the coordinates of figure are K(3,-4), L(3,-1), M(5,-1), N(5,-4).

The rule T1, -4 RO, 180°(x, y) means rotation of 180 degree followed by the translation (1,-4). because these transformation are applied from right to left side.

According to rotation 180 degree  rule,

$(x,y)\rightarrow(-x,-y)$

Rotation followed by translation (1,-4), so we add 1 in x coordinate and add -4 in y coordinate.

$(x,y)\rightarrow(-x+1,-y-4)$

$K(3,-4)\rightarrow K'(-3+1,-(-4)-4)=K'(-2,0)$

$L(3,-1)\rightarrow L'(-3+1,-(-1)-4)=L'(-2,-3)$

$M(5,-1)\rightarrow M'(-5+1,-(-1)-4)=M'(-4,-3)$

$N(5,-4)\rightarrow N'(-5+1,-(-4)-4)=N'(-4,0)$

These coordinates are shown by figure 3 therefore the figure 3 is the image of KLMN.