https://file.aiquickdraw.com/mathbot/file/17268453661570uc93n1w.jpg

To solve the problem of finding the new coordinates of the vertices after a translation, we need to first identify the current coordinates of the triangle's vertices from the image, then apply the translation rule (1 unit right and 1 unit up).

### Step 1: Identify the original coordinates of the vertices
Based on the grid from the image, the approximate coordinates of the triangle vertices are:

- Vertex A: (-2, 1)
- Vertex B: (0, 2)
- Vertex C: (-1, 4)

### Step 2: Apply the translation
A translation of 1 unit right and 1 unit up involves adding 1 to both the x-coordinate and the y-coordinate of each vertex.

The new coordinates will be:

- New A = (-2 + 1, 1 + 1) = (-1, 2)
- New B = (0 + 1, 2 + 1) = (1, 3)
- New C = (-1 + 1, 4 + 1) = (0, 5)

### Final Answer:
After the translation, the coordinates of the vertices are:
- A' = (-1, 2)
- B' = (1, 3)
- C' = (0, 5)

Would you like further explanation on the translation process or help with anything else?

Here are 5 related questions:
1. How does translation affect the orientation of a shape?
2. What is the general rule for translating a point by \( (a, b) \)?
3. How would you translate the triangle by 2 units down and 3 units left?
4. What other transformations can be applied to triangles besides translation?
5. How do you find the reflection of a triangle over the y-axis?

**Tip:** When translating points, always add the translation values to both the x and y coordinates to find the new position.

Find the coordinates of the vertices of the triangle after a translation of 1 unit right and 1 unit up.

This page explains how to find the new coordinates of a triangle after translating its vertices 1 unit to the right and 1 unit up on a coordinate plane. The solution covers translation formulas and applies them step-by-step to each vertex. Suitable for students in Grades 6-8.

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