Translate the figure HIJKL 3 units to the left. Which of the following would be a vertex in the translated figure?
To translate a figure, you need to move its points a certain distance and direction. In this case, you are asked to translate the figure HIJKL 3 units to the left.
To perform the translation, you will move each point of the figure 3 units to the left. In other words, you will subtract 3 units from the x-coordinate of each vertex.
The given figure HIJKL has four vertices: H, I, J, and L. Let's go through each vertex and determine the translated position by subtracting 3 units from their x-coordinates:
- H: Move 3 units to the left from H. (assuming H(xh, yh))
New position: H'(xh - 3, yh)
- I: Move 3 units to the left from I. (assuming I(xi, yi))
New position: I'(xi - 3, yi)
- J: Move 3 units to the left from J. (assuming J(xj, yj))
New position: J'(xj - 3, yj)
- L: Move 3 units to the left from L. (assuming L(xl, yl))
New position: L'(xl - 3, yl)
Therefore, the vertices in the translated figure are H', I', J', and L'.
To translate a figure 3 units to the left, you would subtract 3 from the x-coordinate of each vertex.
Considering the given figure HIJKL, let's assume that the vertices are as follows:
H = (x₁, y₁)
I = (x₂, y₂)
J = (x₃, y₃)
K = (x₄, y₄)
L = (x₅, y₅)
To translate the figure 3 units to the left, you subtract 3 from the x-coordinate of each vertex. So the new coordinates of the vertices would be:
H' = (x₁ - 3, y₁)
I' = (x₂ - 3, y₂)
J' = (x₃ - 3, y₃)
K' = (x₄ - 3, y₄)
L' = (x₅ - 3, y₅)
Thus, any of the vertices H', I', J', K', or L' could be a vertex in the translated figure.