Question

question 2 5 pts a triangle has vertices at (1,2), (4,2), and (1,5). if the triangle is translated by the vector <-3,1>, what are the coordinates of the image of the vertex (4,2)? what is the image of the point (3,-2) after a translation by the vector <4,5>?

Explanation:

Step1: Recall translation rule

For a point $(x,y)$ translated by a vector $\langle a,b
angle$, the new - point $(x',y')$ is given by $(x + a,y + b)$.

Step2: Solve for the first question

The point is $(3,-2)$ and the vector is $\langle4,5
angle$.
$x'=3 + 4=7$
$y'=-2 + 5 = 3$
The new point is $(7,3)$.

Step3: Solve for the second question

The point is $(4,2)$ and the vector is $\langle- 3,1
angle$.
$x'=4+( - 3)=1$
$y'=2 + 1=3$
The new point is $(1,3)$.

Answer:

For the first question: $(7,3)$
For the second question: $(1,3)$