Question

The following directions are in the pic. What is the ordered pair of this vertex of the new triangle after the translation?

Answer 1

The rule for a translation 6 units to the left is given by

`(x,y)\longrightarrow(x-6,y)`

By applying this rule to our vertex, we have

`(5,10)\longrightarrow(5-6,10)=(-1,10)`

Now, the rule for a translation 3 units up is given by

`(x,y)\longrightarrow(x,y+3)`

Then, by applying this rule to our last result, we obtain

`(-1,10)\longrightarrow(-1,10+3)=(-1,13)`

Therefore, the answer is: (-1, 13)