Triangle ABC has vertices A(-3,2) B(0,1) and C(-2,-3).
1. Graph triangle ABC and its reflection across the line x=-2?
2. What are the coordinates of triangle A'B'C' if triangle ABC is reflected across the x-axis?
3. What are the coordinates of triangle A'B'C' if triangle ABC is reflected across the y-axis?
4. What are the coordinates of triangle A'B'C' if triangle ABC is reflected across the line y=x?

Respuesta :

If triangle ABC is reflected across the line x = -2, the new point is A'(-1, 2), B'(2, 1) and C'(-2, -3)

If triangle ABC is reflected across the x axis, the new point is A'(-3, -2), B'(0, -1) and C'(-2, 3)

If triangle ABC is reflected across the y axis, the new point is A'(3, 2), B'(0, 1) and C'(2, -3)

If triangle ABC is reflected across the line y = x, the new point is A'(2, -3), B'(1, 0) and C'(-3, -2)

What is transformation?

Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, rotation, translation and dilation.

Triangle ABC has vertices A(-3,2) B(0,1) and C(-2,-3).

1) If triangle ABC is reflected across the line x = -2, the new point is A'(-1, 2), B'(2, 1) and C'(-2, -3)

2) If triangle ABC is reflected across the x axis, the new point is A'(-3, -2), B'(0, -1) and C'(-2, 3)

3) If triangle ABC is reflected across the y axis, the new point is A'(3, 2), B'(0, 1) and C'(2, -3)

4) If triangle ABC is reflected across the line y = x, the new point is A'(2, -3), B'(1, 0) and C'(-3, -2)

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