https://file.aiquickdraw.com/mathbot/file/1728522043813whnxoki1.jpg

We are tasked with translating the triangle 4 units to the right and 3 units down. Let's first identify the coordinates of points \( J \), \( K \), and \( L \) from the image:

- Point \( J \) appears to be at \( (-2, 3) \)
- Point \( K \) appears to be at \( (0, 1) \)
- Point \( L \) appears to be at \( (-3, 0) \)

Now, let's apply the translation:
- Translation 4 units to the right means adding 4 to the x-coordinates.
- Translation 3 units down means subtracting 3 from the y-coordinates.

### Translations:
1. For \( J(-2, 3) \):
   - New x-coordinate: \( -2 + 4 = 2 \)
   - New y-coordinate: \( 3 - 3 = 0 \)
   - So, \( J' = (2, 0) \)

2. For \( K(0, 1) \):
   - New x-coordinate: \( 0 + 4 = 4 \)
   - New y-coordinate: \( 1 - 3 = -2 \)
   - So, \( K' = (4, -2) \)

3. For \( L(-3, 0) \):
   - New x-coordinate: \( -3 + 4 = 1 \)
   - New y-coordinate: \( 0 - 3 = -3 \)
   - So, \( L' = (1, -3) \)

### Final Answer:
- The coordinates of \( J' \) are \( (2, 0) \).
- The coordinates of \( K' \) are \( (4, -2) \).
- The coordinates of \( L' \) are \( (1, -3) \).

Let me know if you'd like further details or have any questions.

Here are five related questions for practice:
1. If you translated the triangle 2 units left and 5 units up, what would the new coordinates be?
2. What is the formula for translating any point in the coordinate plane?
3. How would you reflect the triangle over the y-axis?
4. What happens to the coordinates of a point when it's rotated 90 degrees clockwise?
5. How can you determine the distance between points \( J' \) and \( K' \)?

**Tip:** When translating shapes, always check the direction for each axis carefully to avoid mistakes in adding or subtracting values.

Translate the triangle 4 units right and 3 units down. What are the coordinates of the image?

Learn how to translate a triangle in the coordinate plane by 4 units right and 3 units down. The original triangle has points J(-2, 3), K(0, 1), and L(-3, 0), and the translated points are J'(2, 0), K'(4, -2), and L'(1, -3). Suitable for students in Grades 6-8.

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