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H (-3,6)

L (-5,4)
K (-4, 1)
J (-1,1)
I (-1,4)

Translate the figure HIJKL 3 units to be the left which of the following would be a vertex in the translated figure

(-7,4)
(-6,6)
(-1,-2)
(2,4)

1 answer

To translate the figure HIJKL 3 units to the left, we need to subtract 3 from the x-coordinates of each vertex.

Here are the original coordinates of the vertices:

  • H (-3, 6) → H' (-3 - 3, 6) = H' (-6, 6)
  • I (-1, 4) → I' (-1 - 3, 4) = I' (-4, 4)
  • J (-1, 1) → J' (-1 - 3, 1) = J' (-4, 1)
  • K (-4, 1) → K' (-4 - 3, 1) = K' (-7, 1)
  • L (-5, 4) → L' (-5 - 3, 4) = L' (-8, 4)

Now, we can see which of the translated vertices matches the options you provided:

  • (-7, 4) (not a vertex)
  • (-6, 6) (this is the new position of vertex H)
  • (-1, -2) (not a vertex)
  • (2, 4) (not a vertex)

Therefore, the vertex in the translated figure is (-6, 6).