Question

triangle XYZ will be translated so the coordinates of X are 5,11. what will be the coordinates of Z

Answer 1

From the info given we have the following coordinates for X, Y and Z

X=(7,11)

Y=(10,14)

Z=(8,7)

And we know that after a translation the coordinates of X' are:

X'=(5,11)

We need to find the function for the transformation so we can do this:

$5=7+\Delta x$$\Delta x=5-7=-2$$11=11+\Delta y$$\Delta y=0$

And then the transformation would be:

$T\rightarrow(x-2,y)$

With this transformation we can find the coordinates for Y' and Z' like this:

$Y^{\prime}=(10-2,14)=(8,14)$$Z^{\prime}=(8-2,7)=(6,7)$

So then the coordinates fo Z are (6,7)