Question

Enter the ordered pair for the vertices for T(3, –2)(QRST).

Answer 1

Given:

The figure QRST.

The rule of translation is $T_{(3,-2)}(QRST)$.

To find:

The coordinate of vertices after translation.

Solution:

According to the given rule of translation is $T_{(3,-2)}(QRST)$, we get

$(x,y)\to (x+3,y-2)$

From the given figure it is clear that the vertices of QRST are Q(1,3), R(3,-3), S(0,-2) and T(-2,1).

Using the above rule, we get

$Q(1,3)\to Q'(1+3,3-2)=Q'(4,1)$

$R(3,-3)\to R'(3+3,-3-2)=R'(6,-5)$

$S(0,-2)\to S'(0+3,-2-2)=S'(3,-4)$

$T(-2,1)\to T'(-2+3,1-2)=T'(1,-1)$

Therefore, the coordinates of the vertices after translation are Q'(4,1), R'(6,-5), S'(3,-4) and T'(1,-1).