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)