Question

A translation is a slide of the figure to a new location on the coordinate plane.

Now, find the coordinates of the vertices of the image of triangle 𝐼𝐽𝐾 after the translation 3 units to the left.





(1 point)
Responses

I' (1,0), J' (-1,-4), K' (-5,4)
I' (1,0), J' (-1,-4), K' (-5,4)

I' (1,0), J' (1,4), K' (5,4)
I' (1,0), J' (1,4), K' (5,4)

I' (0,1), J' (-4,-1), K' (4,-5)
I' (0,1), J' (-4,-1), K' (4,-5)

I' (7,0), J' (5,-4), K' (1,4)

Answer 1

To find the coordinates of the vertices of the triangle after translating it 3 units to the left, we subtract 3 from the x-coordinate of each vertex.

Let's denote the original vertices of triangle IJK as follows:
- I (x₁, y₁)
- J (x₂, y₂)
- K (x₃, y₃)

After a translation of 3 units to the left, the new coordinates will be:
- I' (x₁ - 3, y₁)
- J' (x₂ - 3, y₂)
- K' (x₃ - 3, y₃)

However, the original coordinates of points I, J, and K are not provided in your question. Without those coordinates, I cannot determine the new coordinates.

If you provide the original coordinates of triangle IJK, I can calculate the translated vertices for you. Otherwise, based on the options provided, it looks like the correct response will depend on the original coordinates of the vertices. Please clarify the original coordinates or which option corresponds to them.