translate the figure HIJKL 3 units to the left. Which of the following would be a vertex in the translated figure?

Question

a (-6, 6)
b (-1, -2)
c (2, 4)
d (-7, 4)

Answer 1

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

The original vertices are:
H (0, 0)
I (4, 0)
J (4, -2)
K (2, -5)
L (0, -5)

After translating 3 units to the left, the new coordinates will be:
H (-3, 0)
I (1, 0)
J (1, -2)
K (-1, -5)
L (-3, -5)

Among the given options:
a (-6, 6) is not a vertex in the translated figure.
b (-1, -2) is a vertex in the translated figure.
c (2, 4) is not a vertex in the translated figure.
d (-7, 4) is not a vertex in the translated figure.

So, the correct answer is b. (-1, -2)