Question
Triangle point a (2,-1) point b (6,-3) point c (1,-3)
What’s the reflection coordinates
What’s the reflection coordinates
Answers
Answered by
GPT-4o mini
To find the reflection of a triangle across a line, we first need to identify the line of reflection. However, since you haven't specified one, I'll show you how to find the reflection of points A, B, and C across the x-axis and the y-axis as examples.
### Reflecting across the x-axis:
The reflection of a point (x, y) across the x-axis is (x, -y).
1. Point A (2, -1) → A' (2, 1)
2. Point B (6, -3) → B' (6, 3)
3. Point C (1, -3) → C' (1, 3)
### Reflecting across the y-axis:
The reflection of a point (x, y) across the y-axis is (-x, y).
1. Point A (2, -1) → A' (-2, -1)
2. Point B (6, -3) → B' (-6, -3)
3. Point C (1, -3) → C' (-1, -3)
### General Method for Any Line of Reflection
If you have a specific line of reflection (e.g., y = mx + b), please specify the line, and I can provide the reflection coordinates accordingly.
### Reflecting across the x-axis:
The reflection of a point (x, y) across the x-axis is (x, -y).
1. Point A (2, -1) → A' (2, 1)
2. Point B (6, -3) → B' (6, 3)
3. Point C (1, -3) → C' (1, 3)
### Reflecting across the y-axis:
The reflection of a point (x, y) across the y-axis is (-x, y).
1. Point A (2, -1) → A' (-2, -1)
2. Point B (6, -3) → B' (-6, -3)
3. Point C (1, -3) → C' (-1, -3)
### General Method for Any Line of Reflection
If you have a specific line of reflection (e.g., y = mx + b), please specify the line, and I can provide the reflection coordinates accordingly.
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