Question

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

point H: (-3, 6)
point L: (-5, 4)
point K: (-4, 1)
point I: (-1, 4)
point J: (-1, 1)


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

Answer 1

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

Let's apply this translation to each of the given vertices:

1. **Point H: (-3, 6)**
- New position: \((-3 - 3, 6) = (-6, 6)\)

2. **Point L: (-5, 4)**
- New position: \((-5 - 3, 4) = (-8, 4)\)

3. **Point K: (-4, 1)**
- New position: \((-4 - 3, 1) = (-7, 1)\)

4. **Point I: (-1, 4)**
- New position: \((-1 - 3, 4) = (-4, 4)\)

5. **Point J: (-1, 1)**
- New position: \((-1 - 3, 1) = (-4, 1)\)

Now, comparing the new translated points to the options given:

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

The translated coordinates we obtained include point (-6, 6) which corresponds to point H after translation.

Therefore, the correct answer is:

**d. (-6, 6)**