The vertices of the reflected triangles are T'(x, y) = (0, 2), R'(x, y) = (2, 1) and I'(x, y) = (4, 4).
What are the coordinates of the vertices of the reflected triangle?
In this question we have the coordinates the three vertices of the original triangle and the coordinates of the new triangle as a consequence of a reflection across the x-axis are determined by the following formula:
P'(x, y) = P(x, y) - (0, 2 · [tex]y_{P}[/tex]) (1)
Where:
- P(x, y) - Coordinates of the original point.
- [tex]y_{P}[/tex] - y-coordinate of the original point.
- P'(x, y) - Coordinates of the new point.
If we know that T(x, y) = (0, - 2), R(x, y) = (2, - 1) and I(x, y) = (4, - 4), then the coordinates of the reflected triangle are:
T'(x, y) = (0, - 2) - (0, - 4)
T'(x, y) = (0, 2)
R'(x, y) = (2, - 1) - (0, - 2)
R'(x, y) = (2, 1)
I'(x, y) = (4, - 4) - (0, - 8)
I'(x, y) = (4, 4)
The vertices of the reflected triangles are T'(x, y) = (0, 2), R'(x, y) = (2, 1) and I'(x, y) = (4, 4).
To learn more on reflections: https://brainly.com/question/15487308
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