Question

Please help me solve this problem. I am looking for the coordinates for A’, B’ and C’

Answer 1

• A'(-10, 0)

,

• B'(-6, 2)

,

• C'(-8, -2)

Step-by-step explanation

This vector is written as:

`\langle-6,-4\rangle`

This means that if we use this vector to translate a figure, we have to move each point of the figure 6 units to the left and 4 units down.

The vertices of triangle ABC are:

`\begin{gathered} A(-4,4) \\ B(0,6) \\ C(-2,2) \end{gathered}`

To each x-coordinate we have to subtract 6 units in order to translate these points 6 units to the left, and to each y-coordinate we have to subtract 4 units in order to translate these points 4 units down:

`\begin{gathered} A^(\prime)(-4-6,4-4)=(-10,0) \\ B^(\prime)(0-6,6-4)=(-6,2) \\ C^(\prime)(-2-6,2-4)=(-8,-2) \end{gathered}`