108k views
1 vote
∆ABC is translated 4 units left and 5 units down. What algebraic representation explains the effect of the transformation of ∆ABC to ∆DEF?

User Ieugen
by
4.6k points

1 Answer

4 votes

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)

User Sheldonkreger
by
5.5k points