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)