73.7k views
0 votes
∆MUG has coordinates M(10, -3), U(5, 2), and G(4, 6). A translation maps point M to M'(4, 1). What are the coordinates of U' and G' for this translation?

User Requinard
by
8.8k points

1 Answer

7 votes

In order to find the coordinates of U' and G', let's first find the transformation from M to M'

Calculating the difference of x and y coordinates, we have:


\begin{gathered} M_x-M^(\prime)_x=4-10=-6 \\ M_y-M^(\prime)_y=1-(-3)=4 \end{gathered}

So the transformation is a translation of 6 units to the left (-6) and 4 units up (+4).

Then, applying this transformation to the points U and G, we have:


\begin{gathered} U(5,2)\to U^(\prime)(5-6,2+4)=U^(\prime)(-1,6)_{} \\ G(4,6)\to G^(\prime)(4-6,6+4)=G^(\prime)(-2,10) \end{gathered}

User Shawn Blakesley
by
7.7k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories