Question

Translate the figure HIJKL 3 units to the left. Which of the following would be a vertex in the translated figure? (1 point) Responses (−1, −2) left parenthesis negative 1 comma negative 2 right parenthesis (−6, 6) left parenthesis negative 6 comma 6 right parenthesis (2, 4) left parenthesis 2 comma 4 right parenthesis (−7, 4) left parenthesis negative 7 comma 4 right parenthesis

Answer 1

To translate a figure 3 units to the left, you subtract 3 from the x-coordinate of each vertex of the figure.

Let’s consider the options given:

1. \( (-1, -2) \)
2. \( (-6, 6) \)
3. \( (2, 4) \)
4. \( (-7, 4) \)

Now, we need to check if these points could be the result of translating some original point 3 units to the left:

• If we take \( (-1, -2) \), then it could originate from \( (2, -2) \) (2 - 3 = -1).
• If we take \( (-6, 6) \), then it could originate from \( (-3, 6) \) (-3 - 3 = -6).
• If we take \( (2, 4) \), then it could originate from \( (5, 4) \) (5 - 3 = 2).
• If we take \( (-7, 4) \), then it could originate from \( (-4, 4) \) (-4 - 3 = -7).

Since we are looking for vertices that could be part of the translated figure after moving 3 units to the left, we find that any of these points could possibly represent a vertex in the translated figure depending on their original coordinates.

However, if the question is asking for a specific vertex that is guaranteed to exist in the translated figure considering the original position of the figure is not given, we cannot definitively determine which option is a vertex of the translated figure. We only conclude that after translating the figure 3 units to the left, any coordinates could feasibly be results of a shift, but without knowing the original coordinates of vertices HIJKL, we can’t specifically answer which vertex would appear.

Please provide additional information or context for accuracy.