https://file.aiquickdraw.com/mathbot/file/1727314053816154bcmje.jpg

To describe the location of the blue figure relative to the red figure, we need to compare the positions of their vertices on the coordinate plane.

### Observations:
- The red figure is primarily located on the left-hand side of the graph (negative x-values), whereas the blue figure is located on the right-hand side (positive x-values).
- The red figure has vertices at approximately (-4, 3), (-2, 4), and (-3, -1).
- The blue figure has vertices at (1, -1), (3, 2), and (2, -4).

### Translation from Red to Blue Figure:
To describe the location shift, we calculate the relative movement between the two figures.

- The centroid (center) of the red figure is roughly (-3, 2), while the centroid of the blue figure is around (2, -1).
- Moving from the red to the blue figure involves shifting **5 units to the right (positive x-direction)** and **3 units down (negative y-direction)**.

Thus, the blue figure is **5 units to the right** and **3 units down** relative to the red figure.

Would you like more details on how to calculate this, or any clarifications?

### Follow-up questions:
1. How do you find the centroid of a triangle geometrically?
2. What is the formula for translating points on a graph?
3. How do you calculate distances between two points on a coordinate plane?
4. Can you define a rigid transformation versus a non-rigid transformation?
5. How do you reflect a shape across the y-axis or x-axis?

**Tip:** When comparing figures, focusing on centroids can make translations clearer.

Describe the location of the blue figure relative to the location of the red figure.

Learn how to describe the translation of one figure relative to another on a coordinate plane. This example compares the blue triangle to the red triangle, explaining the 5-unit right shift and 3-unit down shift. Suitable for students in Grades 6-8 studying translations and geometry.

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