Question

Triangle ABC has vertices A(-2, 6), B(0, 5), and C(3, -1). Find the vertices of triangle A'B'C' after a reflections across the x-axis.

Answer 1

The vertices of triangle A'B'C' after reflection across the x-axis are A'(-2, -6), B'(0, -5), and C'(3, 1).The vertices of triangle A'B'C' after a reflection across the x-axis are A'(-2, -6), B'(0, -5), and C'(3, 1).

Step-by-step explanation:

To find the vertices of triangle A'B'C' after a reflection across the x-axis, we must reflect the y-coordinates of each vertex while keeping the x-coordinates the same.

For vertex A(-2, 6), reflection across the x-axis changes the y-coordinate to -6, making the new vertex A'(-2, -6).
For vertex B(0, 5), reflection across the x-axis changes the y-coordinate to -5, so vertex B becomes B'(0, -5).
For vertex C(3, -1), reflection across the x-axis changes the y-coordinate to 1, resulting in vertex C'(3, 1).

Therefore, the vertices of triangle A'B'C' after the reflection are A'(-2, -6), B'(0, -5), and C'(3, 1).