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

Question

asked Aug 19, 2023 108k views

1 Answer

Sheldonkreger · Answer 1 · 2023-08-23T16:08:53+0000

Answer:

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

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

Step-by-step 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;

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