Question

∆ABC is translated 4 units left and 5 units down. What algebraic representation explains the effect of the transformation of ∆ABC to ∆DEF?

Answer 1

Answer:

The transformation from ABC to DEF can be represented algebraically as;

$(x,y)\rightarrow(x-4,y-5)$

Explanation:

Given that the triangle ABC is to be translated to DEF.

It is translated 4 units left and 5 units down.

We can represent this algebraically by;

translation left is negative on x-axis

translation down is negative on y axis.

$\begin{gathered} \Delta ABC\rightarrow\Delta DEF \\ (x,y)\rightarrow(x-4,y-5) \end{gathered}$

Therefore, the transformation from ABC to DEF can be represented algebraically as;

$(x,y)\rightarrow(x-4,y-5)$